This document discusses simplified dark matter models that include the full standard model gauge symmetry. It presents a simplified model that adds three new scalar fields (QLi, uRi, dRi) that interact with a Dirac fermion dark matter particle (χ) via Yukawa-like couplings. This model generates interactions between the dark matter and standard model quarks while respecting the full electroweak gauge symmetry of the standard model. The document discusses the collider and direct detection signatures of this model and how they compare to effective field theory approaches.
This document discusses the spreading of correlations in quantum lattice models with long-range interactions decaying as a power law. It is shown that even when the exponent α is less than the dimension D, Lieb-Robinson bounds can still be derived in rescaled time, indicating cone-like propagation. Exact results are presented for long-range Ising and XXZ models, as well as a fermionic long-range hopping model, demonstrating different types of propagation fronts for varying α. The key conclusion is that while correlations may spread instantaneously in physical time when α < D, rescaling time allows for Lieb-Robinson bounds and conical propagation in certain parameter regimes.
This document discusses Laplace's equation, Poisson's equation, and the uniqueness theorem. It begins by introducing Laplace's equation and Poisson's equation, which are derived from Gauss's law. Poisson's equation applies to problems with a non-zero charge density, while Laplace's equation applies when the charge density is zero. The uniqueness theorem states that for the potential solution to be unique, it must satisfy Laplace's equation and the known boundary conditions. Several examples are then provided to demonstrate solving Laplace's and Poisson's equations for different boundary value problems.
This document provides information about the dynamics of machinery course for several mechanical engineering students. It includes the learning objectives, symbols and definitions, response of a damped system under harmonic motion, an example problem, and key concepts about magnification factor, phase angle, and total response of a system. The example calculates the total response of a single-degree-of-freedom system subjected to an external harmonic force and free vibration.
This document contains solved problems related to electrostatics and dielectric materials. Key points include:
- The dielectric constant of a composite material is the weighted average of the dielectric constants of its constituent materials.
- Boundary conditions require the tangential electric field to be continuous across material interfaces, while the normal component is scaled by the relative permittivities of the materials.
- Energy density and stored electrostatic energy depend on the dielectric constant and electric field strength within each material.
- High dielectric constants and breakdown field strengths are desirable for capacitors to maximize the CVmax product.
1) A point charge moving through an electric field is shown to follow a parabolic trajectory given by z = -1.5×1010t2 m. At t = 3 μs, its position is found to be P(0.90, 0, -0.135) m.
2) A point charge moving through a uniform magnetic field follows a circular path. The equations of motion are derived and solved, giving the position, velocity, and kinetic energy at t = 3 μs.
3) Forces on current loops and filaments in various magnetic field configurations are calculated.
Full jee mains 2015 online paper 10th april finalPradeep Kumar
The document provides solutions to 13 physics problems from a JEE Mains exam. Some key details:
- Problem 1 asks about the relationship between average force on container walls and temperature in an ideal gas, with the answer being directly proportional.
- Problem 2 asks why electrons diffuse from the n-region to the p-region in an unbiased n-p junction, with the answer being due to a higher electron concentration in the n-region.
- Problem 3 involves calculating the voltage reading of two batteries connected in parallel, with the answer being 13.1V.
- The remaining problems cover topics in physics including de Broglie wavelength, drift velocity, momentum, trajectories, moments of inertia
This document contains worked examples and solutions related to threaded fasteners and screw theory. It includes calculations of thread dimensions, torque required to raise or lower loads, efficiency of screws, stresses in bolted joints, and spring rates and deflections of bolted connections. Key equations from the chapter are applied to example problems involving vise screws, bolted connections in presses, and determining preload in bolts. The document also discusses relationships between the turn-of-nut method and torque wrench method for preloading bolts.
This document discusses the spreading of correlations in quantum lattice models with long-range interactions decaying as a power law. It is shown that even when the exponent α is less than the dimension D, Lieb-Robinson bounds can still be derived in rescaled time, indicating cone-like propagation. Exact results are presented for long-range Ising and XXZ models, as well as a fermionic long-range hopping model, demonstrating different types of propagation fronts for varying α. The key conclusion is that while correlations may spread instantaneously in physical time when α < D, rescaling time allows for Lieb-Robinson bounds and conical propagation in certain parameter regimes.
This document discusses Laplace's equation, Poisson's equation, and the uniqueness theorem. It begins by introducing Laplace's equation and Poisson's equation, which are derived from Gauss's law. Poisson's equation applies to problems with a non-zero charge density, while Laplace's equation applies when the charge density is zero. The uniqueness theorem states that for the potential solution to be unique, it must satisfy Laplace's equation and the known boundary conditions. Several examples are then provided to demonstrate solving Laplace's and Poisson's equations for different boundary value problems.
This document provides information about the dynamics of machinery course for several mechanical engineering students. It includes the learning objectives, symbols and definitions, response of a damped system under harmonic motion, an example problem, and key concepts about magnification factor, phase angle, and total response of a system. The example calculates the total response of a single-degree-of-freedom system subjected to an external harmonic force and free vibration.
This document contains solved problems related to electrostatics and dielectric materials. Key points include:
- The dielectric constant of a composite material is the weighted average of the dielectric constants of its constituent materials.
- Boundary conditions require the tangential electric field to be continuous across material interfaces, while the normal component is scaled by the relative permittivities of the materials.
- Energy density and stored electrostatic energy depend on the dielectric constant and electric field strength within each material.
- High dielectric constants and breakdown field strengths are desirable for capacitors to maximize the CVmax product.
1) A point charge moving through an electric field is shown to follow a parabolic trajectory given by z = -1.5×1010t2 m. At t = 3 μs, its position is found to be P(0.90, 0, -0.135) m.
2) A point charge moving through a uniform magnetic field follows a circular path. The equations of motion are derived and solved, giving the position, velocity, and kinetic energy at t = 3 μs.
3) Forces on current loops and filaments in various magnetic field configurations are calculated.
Full jee mains 2015 online paper 10th april finalPradeep Kumar
The document provides solutions to 13 physics problems from a JEE Mains exam. Some key details:
- Problem 1 asks about the relationship between average force on container walls and temperature in an ideal gas, with the answer being directly proportional.
- Problem 2 asks why electrons diffuse from the n-region to the p-region in an unbiased n-p junction, with the answer being due to a higher electron concentration in the n-region.
- Problem 3 involves calculating the voltage reading of two batteries connected in parallel, with the answer being 13.1V.
- The remaining problems cover topics in physics including de Broglie wavelength, drift velocity, momentum, trajectories, moments of inertia
This document contains worked examples and solutions related to threaded fasteners and screw theory. It includes calculations of thread dimensions, torque required to raise or lower loads, efficiency of screws, stresses in bolted joints, and spring rates and deflections of bolted connections. Key equations from the chapter are applied to example problems involving vise screws, bolted connections in presses, and determining preload in bolts. The document also discusses relationships between the turn-of-nut method and torque wrench method for preloading bolts.
The document contains 10 problems involving electromagnetic induction and Maxwell's equations. Problem 10.1 involves calculating the voltage and current in a circuit with a changing magnetic flux. Problem 10.2 replaces a voltmeter with a resistor and calculates the resulting current. Problem 10.3 calculates the emf induced in closed paths with changing magnetic fluxes.
The work deals finite frequency H∞ control design for continuous time nonlinear systems, we provide sufficient conditions, ensuring that the closed-loop model is stable. Simulations will be gifted to show level of attenuation that a H∞ lower can be by our method obtained developed where further comparison.
This document provides an overview of transmission lines and matching techniques for high-frequency circuit design. It begins with basic transmission line models and the Telegrapher's equations that describe voltage and current propagation along a transmission line. It then discusses transmission line properties such as characteristic impedance and reflection coefficient. The Smith chart is introduced as a tool for visualizing impedance transformations along a transmission line of varying lengths. Finally, the document covers matching conditions and techniques for minimizing reflections, including using a single stub to transform the impedance to match the characteristic impedance of the transmission line.
Cables are invaluable structural elements. They have been used in guyed towers, bridges marine vehicles, offshore structures, transmission lines and tensioning applications etc. Briefly, cables are necessary elements for long spans. As known, cables are tension elements; they cannot carry any compression load due to its unique geometry. This tangential convoluted geometry makes them hard to analyze. Engineers solve cables assuming them as linear elements even now, because cables cannot be solved by classical finite element methods. Having almost zero bending rigidity makes it vulnerable to drastic vertical movements. Hence, engineers either define a bending rigidity or apply a checker for drastic movements in each nonlinear iteration to solve cable by classical FEM. Therefore, engineers propose a different iterative finite element method to solve cables more stabilized way. In this research, a 3D static solution method is presented for a cable supported at its ends. This method first makes the cable determinant by releasing one cusp of the cable. Then playing with the reaction at the other cusp changes the position of the released cusp. Thus, one can determine the correct reactions at the first cusp, which makes the second cusp position same with the released support’s. Cable equilibrium equations and stiffness matrix is derived accordingly and some sample cables are solved.
1. The document provides calculations for determining work done by electric fields on charges moving through various paths. It includes determining incremental work from given electric field expressions and calculating potentials from different charge distributions.
2. Key results include the work done on a 20 μC charge moving in different directions in a given electric field, the potential and potential difference from a uniform spherical charge distribution, and expressing the potential field of an infinite line charge with different references.
3. The final problem calculates the potential at a point from the combined electric fields of a uniform sheet charge, uniform line charge, and point charge, with the potential set to zero at a reference point.
Chp1 Transmission line theory with examples-part2anwar jubba
The document discusses transmission line theory and the Smith chart. It introduces the Smith chart as a graphical tool for transmission line circuits and microwave components that can plot both normalized impedance and reflection coefficient on the same chart. It then covers using the Smith chart to analyze transmission lines and impedance matching techniques including the quarter-wave transformer and stub matching using both series and shunt stubs. Examples are provided to demonstrate how to use the Smith chart to solve problems related to transmission line impedance, reflection coefficient, input impedance, and designing matching networks.
This document discusses electromagnetic plane waves in various materials. It contains:
1) Derivations of plane wave solutions to Maxwell's equations and expressions for the electric and magnetic fields.
2) Examples calculating wave properties like wavelength, propagation velocity, and Poynting vector for different materials and field configurations.
3) Exercises finding field values at specific points given propagating plane wave descriptions.
The document discusses calculating the forces between electrical conductors carrying current using physics equations. It provides the equations for calculating the force between two infinite wires, two circular wires, and two rectangular conductors ("buses"). The document uses finite element analysis simulations to validate the theoretical force calculations between various conductor configurations carrying both direct and alternating current. It determines the maximum repulsive force on a bus bar occurs 0.6 microseconds after a 50kA short circuit event, which corresponds to a mass of 824kg exerted on the bus bar. The conclusion emphasizes the importance of considering these forces in circuit breaker and switchgear design to prevent bus bar bending during faults.
IA on effect of zinc concentration on voltage using nernst equationLawrence kok
This document describes an experiment to investigate the effect of varying the concentration of ZnSO4 and CuSO4 on the electromotive force (emf) and current of a Zn/Cu voltaic cell. Zinc and copper electrodes are placed in wells containing solutions of varying molarities of ZnSO4 and CuSO4, and the emf and current are measured. Theoretical calculations of cell potential are performed using Nernst equation for different concentrations. A graph of the logarithm of concentration ratio versus measured cell potential shows good agreement between theoretical and experimental values, with around 12% error.
Solution to 2nd semeter eng. statistics 2015 2016chener Qadr
This document contains an exam for an engineering statistics class consisting of 5 problems:
1) Listing construction time combinations and finding number of engineer pair selections.
2) Calculating flood probability metrics over 31 years.
3) Determining town flooding probabilities from a dam considering earthquake damage.
4) Finding failure probabilities for a retaining wall considering sliding and overturning.
5) Defining performance metrics for a city's water delivery considering reservoir levels and tunnel outages.
The document introduces Dr. Joi Lin Blake as the new President of College of Alameda. [1] It states that Dr. Blake has extensive experience in community college settings as an administrator, counselor, and instructor. [2] It also notes that she is already making a positive impact at COA in her short time, such as by providing new computers for the Cyber Cafe, and that her leadership, dedication, and commitment to students aligns with COA's mission. [3]
Fotosintesis adalah proses di mana tumbuhan membuat makanannya sendiri dari karbon dioksida dan air dengan bantuan sinar matahari dan zat hijau daun (klorofil). Tumbuhan yang dapat membuat makanannya sendiri disebut autotrof.
자동차보험 세번째 이야기, "대인배상"
자동차사고로 인해 발생한 인명사고를 대비하는 담보.
A. 대인배상에서의 책임보험과 선택보험의 보상금액과 내용의 차이는?
B. 선택보험을 가입하지 않았을 경우 운전자가 받는 불이익은?
C. 음주운전과 무면허운전을 한 경우에도 보상을 받을 수 있을까?
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The document discusses a scotogenic model that connects dark matter and neutrino mass through radiative mechanisms involving new particles. It proposes that a colored scalar particle could mediate the production of dark matter particles at the LHC, resulting in signatures like opposite-sign dilepton pairs plus jets. Simulations of the model are presented and constraints from LHC searches on simplified models are considered. Recent 13 TeV data is found to potentially rule out parts of the parameter space depending on the dark matter and mediator masses.
Smile Apparels Ltd is a fashion creative house located in Dhaka, Bangladesh that produces a variety of apparel items. They produce boys and girls tops, bottoms, jackets, and bags made from cotton, cotton blends, and other materials. The items are constructed using techniques like jersey, fleece, pique, and canvas. Embroidery, applique, printing and other applications are used to decorate the items. Minimum order quantities start at 3000 pieces and prices are negotiable. A wide assortment of styles, materials, and constructions are listed along with basic production details.
자동차보험 세번째 이야기, "대물배상"
자동차사고로 인해 발생한 재물피해를 대비하는 담보.
A. 대물배상에서의 책임보험과 선택보험의 보상금액과 내용의 차이는?
B. 대물배상 1천만원(선택보험)을 가입하지 않았을 경우 운전자가 받는 불이익은?
C. 음주운전과 무면허운전을 한 경우에도 보상을 받을 수 있을까?
The document promotes creating presentations on Haiku Deck and sharing them on SlideShare. It includes photos from three different photographers to illustrate the variety of images available for presentations. The document encourages the reader to get started making their own Haiku Deck presentation.
The San Francisco Human Rights Commission held its annual Hero Awards ceremony on August 6th to honor courageous individuals and organizations that demonstrate the spirit of the voting rights movement. Awards were given in three categories to individuals like Faith Petric and Maxine Anderson, and organizations like UCSF White Coats for Black Lives and the League of Women Voters. The ceremony commemorated the 50th anniversary of the Voting Rights Act. The document also provides updates on the commission's initiatives regarding implicit bias training, the Equal Pay Initiative, and a photovoice project on Islamophobia.
2016 Hot Firm & A/E Industry Awards: Analysis of Awards WinnersChristina Zweig
Research and data about the winners of Zweig Group's 2016 Best Firms To Work For, 2016 Hot Firm List, and attendees of the 2016 Hot Firm & A/E Industry Awards Conference. The fastest growing and best firms to work for in the architecture, engineering, planning and environmental consulting industry
Teoría de la modificabilidad cognitiva estructuralmarcela ramirez
La teoría de la modificabilidad cognitiva estructural propuesta por Reuven Feuerstein sostiene que el desarrollo cognitivo es dinámico y susceptible de ser modificado trabajando sobre las habilidades del pensamiento necesarias para el aprendizaje. Feuerstein identificó 29 habilidades cognitivas y propuso un modelo teórico del acto mental. Su enfoque implica mejorar las habilidades a través de la mediación cognitiva por parte de profesores y familias para optimizar el aprendizaje.
The document contains 10 problems involving electromagnetic induction and Maxwell's equations. Problem 10.1 involves calculating the voltage and current in a circuit with a changing magnetic flux. Problem 10.2 replaces a voltmeter with a resistor and calculates the resulting current. Problem 10.3 calculates the emf induced in closed paths with changing magnetic fluxes.
The work deals finite frequency H∞ control design for continuous time nonlinear systems, we provide sufficient conditions, ensuring that the closed-loop model is stable. Simulations will be gifted to show level of attenuation that a H∞ lower can be by our method obtained developed where further comparison.
This document provides an overview of transmission lines and matching techniques for high-frequency circuit design. It begins with basic transmission line models and the Telegrapher's equations that describe voltage and current propagation along a transmission line. It then discusses transmission line properties such as characteristic impedance and reflection coefficient. The Smith chart is introduced as a tool for visualizing impedance transformations along a transmission line of varying lengths. Finally, the document covers matching conditions and techniques for minimizing reflections, including using a single stub to transform the impedance to match the characteristic impedance of the transmission line.
Cables are invaluable structural elements. They have been used in guyed towers, bridges marine vehicles, offshore structures, transmission lines and tensioning applications etc. Briefly, cables are necessary elements for long spans. As known, cables are tension elements; they cannot carry any compression load due to its unique geometry. This tangential convoluted geometry makes them hard to analyze. Engineers solve cables assuming them as linear elements even now, because cables cannot be solved by classical finite element methods. Having almost zero bending rigidity makes it vulnerable to drastic vertical movements. Hence, engineers either define a bending rigidity or apply a checker for drastic movements in each nonlinear iteration to solve cable by classical FEM. Therefore, engineers propose a different iterative finite element method to solve cables more stabilized way. In this research, a 3D static solution method is presented for a cable supported at its ends. This method first makes the cable determinant by releasing one cusp of the cable. Then playing with the reaction at the other cusp changes the position of the released cusp. Thus, one can determine the correct reactions at the first cusp, which makes the second cusp position same with the released support’s. Cable equilibrium equations and stiffness matrix is derived accordingly and some sample cables are solved.
1. The document provides calculations for determining work done by electric fields on charges moving through various paths. It includes determining incremental work from given electric field expressions and calculating potentials from different charge distributions.
2. Key results include the work done on a 20 μC charge moving in different directions in a given electric field, the potential and potential difference from a uniform spherical charge distribution, and expressing the potential field of an infinite line charge with different references.
3. The final problem calculates the potential at a point from the combined electric fields of a uniform sheet charge, uniform line charge, and point charge, with the potential set to zero at a reference point.
Chp1 Transmission line theory with examples-part2anwar jubba
The document discusses transmission line theory and the Smith chart. It introduces the Smith chart as a graphical tool for transmission line circuits and microwave components that can plot both normalized impedance and reflection coefficient on the same chart. It then covers using the Smith chart to analyze transmission lines and impedance matching techniques including the quarter-wave transformer and stub matching using both series and shunt stubs. Examples are provided to demonstrate how to use the Smith chart to solve problems related to transmission line impedance, reflection coefficient, input impedance, and designing matching networks.
This document discusses electromagnetic plane waves in various materials. It contains:
1) Derivations of plane wave solutions to Maxwell's equations and expressions for the electric and magnetic fields.
2) Examples calculating wave properties like wavelength, propagation velocity, and Poynting vector for different materials and field configurations.
3) Exercises finding field values at specific points given propagating plane wave descriptions.
The document discusses calculating the forces between electrical conductors carrying current using physics equations. It provides the equations for calculating the force between two infinite wires, two circular wires, and two rectangular conductors ("buses"). The document uses finite element analysis simulations to validate the theoretical force calculations between various conductor configurations carrying both direct and alternating current. It determines the maximum repulsive force on a bus bar occurs 0.6 microseconds after a 50kA short circuit event, which corresponds to a mass of 824kg exerted on the bus bar. The conclusion emphasizes the importance of considering these forces in circuit breaker and switchgear design to prevent bus bar bending during faults.
IA on effect of zinc concentration on voltage using nernst equationLawrence kok
This document describes an experiment to investigate the effect of varying the concentration of ZnSO4 and CuSO4 on the electromotive force (emf) and current of a Zn/Cu voltaic cell. Zinc and copper electrodes are placed in wells containing solutions of varying molarities of ZnSO4 and CuSO4, and the emf and current are measured. Theoretical calculations of cell potential are performed using Nernst equation for different concentrations. A graph of the logarithm of concentration ratio versus measured cell potential shows good agreement between theoretical and experimental values, with around 12% error.
Solution to 2nd semeter eng. statistics 2015 2016chener Qadr
This document contains an exam for an engineering statistics class consisting of 5 problems:
1) Listing construction time combinations and finding number of engineer pair selections.
2) Calculating flood probability metrics over 31 years.
3) Determining town flooding probabilities from a dam considering earthquake damage.
4) Finding failure probabilities for a retaining wall considering sliding and overturning.
5) Defining performance metrics for a city's water delivery considering reservoir levels and tunnel outages.
The document introduces Dr. Joi Lin Blake as the new President of College of Alameda. [1] It states that Dr. Blake has extensive experience in community college settings as an administrator, counselor, and instructor. [2] It also notes that she is already making a positive impact at COA in her short time, such as by providing new computers for the Cyber Cafe, and that her leadership, dedication, and commitment to students aligns with COA's mission. [3]
Fotosintesis adalah proses di mana tumbuhan membuat makanannya sendiri dari karbon dioksida dan air dengan bantuan sinar matahari dan zat hijau daun (klorofil). Tumbuhan yang dapat membuat makanannya sendiri disebut autotrof.
자동차보험 세번째 이야기, "대인배상"
자동차사고로 인해 발생한 인명사고를 대비하는 담보.
A. 대인배상에서의 책임보험과 선택보험의 보상금액과 내용의 차이는?
B. 선택보험을 가입하지 않았을 경우 운전자가 받는 불이익은?
C. 음주운전과 무면허운전을 한 경우에도 보상을 받을 수 있을까?
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
The document discusses a scotogenic model that connects dark matter and neutrino mass through radiative mechanisms involving new particles. It proposes that a colored scalar particle could mediate the production of dark matter particles at the LHC, resulting in signatures like opposite-sign dilepton pairs plus jets. Simulations of the model are presented and constraints from LHC searches on simplified models are considered. Recent 13 TeV data is found to potentially rule out parts of the parameter space depending on the dark matter and mediator masses.
Smile Apparels Ltd is a fashion creative house located in Dhaka, Bangladesh that produces a variety of apparel items. They produce boys and girls tops, bottoms, jackets, and bags made from cotton, cotton blends, and other materials. The items are constructed using techniques like jersey, fleece, pique, and canvas. Embroidery, applique, printing and other applications are used to decorate the items. Minimum order quantities start at 3000 pieces and prices are negotiable. A wide assortment of styles, materials, and constructions are listed along with basic production details.
자동차보험 세번째 이야기, "대물배상"
자동차사고로 인해 발생한 재물피해를 대비하는 담보.
A. 대물배상에서의 책임보험과 선택보험의 보상금액과 내용의 차이는?
B. 대물배상 1천만원(선택보험)을 가입하지 않았을 경우 운전자가 받는 불이익은?
C. 음주운전과 무면허운전을 한 경우에도 보상을 받을 수 있을까?
The document promotes creating presentations on Haiku Deck and sharing them on SlideShare. It includes photos from three different photographers to illustrate the variety of images available for presentations. The document encourages the reader to get started making their own Haiku Deck presentation.
The San Francisco Human Rights Commission held its annual Hero Awards ceremony on August 6th to honor courageous individuals and organizations that demonstrate the spirit of the voting rights movement. Awards were given in three categories to individuals like Faith Petric and Maxine Anderson, and organizations like UCSF White Coats for Black Lives and the League of Women Voters. The ceremony commemorated the 50th anniversary of the Voting Rights Act. The document also provides updates on the commission's initiatives regarding implicit bias training, the Equal Pay Initiative, and a photovoice project on Islamophobia.
2016 Hot Firm & A/E Industry Awards: Analysis of Awards WinnersChristina Zweig
Research and data about the winners of Zweig Group's 2016 Best Firms To Work For, 2016 Hot Firm List, and attendees of the 2016 Hot Firm & A/E Industry Awards Conference. The fastest growing and best firms to work for in the architecture, engineering, planning and environmental consulting industry
Teoría de la modificabilidad cognitiva estructuralmarcela ramirez
La teoría de la modificabilidad cognitiva estructural propuesta por Reuven Feuerstein sostiene que el desarrollo cognitivo es dinámico y susceptible de ser modificado trabajando sobre las habilidades del pensamiento necesarias para el aprendizaje. Feuerstein identificó 29 habilidades cognitivas y propuso un modelo teórico del acto mental. Su enfoque implica mejorar las habilidades a través de la mediación cognitiva por parte de profesores y familias para optimizar el aprendizaje.
This document presents an overview of Alexander Anderson-Natale's work on radiative neutrino mass generation, dark matter, and flavor symmetries. It discusses the scotogenic model, where neutrino mass arises from dark matter loops. It also covers neutrino oscillation parameters described by the PMNS matrix, flavor symmetries like A4 and Δ(27) that can explain mixing patterns, and the possibility of probing scotogenic models at colliders through signatures of warm dark matter or color-triplet scalars. The document is divided into sections on neutrino mass and symmetries versus collider signatures of these models.
This document provides an overview of dark matter searches using mono-X analyses, with a focus on new techniques. It begins with background on evidence for dark matter and the "WIMP miracle". It then discusses using effective field theories to model dark matter interactions without specifying an underlying theory. The document outlines various detection methods for dark matter including collider experiments looking for monojet, monophoton, mono-W/Z, and mono-b signatures. Example analyses from ATLAS and CMS applying these techniques are summarized. Limit plots are also shown comparing results to thermal relic targets and direct detection experiments.
This document summarizes a study that emulated a memristor device using a programmable microcontroller. The memristor behavior was modeled based on its defining characteristic of connecting magnetic flux and electric charge over time. The microcontroller exploited pulse width modulation to create the response function and emulate changing resistance with memory effect and pinched hysteresis loops. Testing of the emulated device showed it could replicate key memristor fingerprints. The study provides a potential method for emulating memristor behavior using a microcontroller to process input signals.
This document presents an analytical model for simulating electromagnetic field distributions in a rectangular reverberation chamber based on modal expansion of the electric field. The model uses waveguide equations to compute modal field distributions and their response based on cavity dimensions, losses, and source position. It examines how moving an isotropic source in different patterns excites cavity modes independently and relates this to the number of independent field observations. The model provides a simplified yet insightful way to understand cavity physics and benchmark different source stirring methods compared to computationally intensive simulations.
A simple 10-cell RL-TL test circuit has been simulated using two completely different simulators: Microcap10 (MC10, evaluation version) and DWS. The first one is a classical Nodal Analysis Spice family simulator with a good model for Transmission Lines (TL). DWS (Digital Wave Simulator) is based on completely different DSP algorithms (Digital Wave Network equivalent)
1) Computational techniques are essential for accurately simulating high-speed coating flows that conventional asymptotic models cannot capture. Accessing smaller spatio-temporal scales through computation and experiment is needed to identify the true physics.
2) Gas dynamics, particularly the mean free path of gas molecules, play a key role in phenomena like air entrainment in coating flows. At reduced pressures, the longer mean free path can delay air entrainment.
3) There is still debate around wetting because different models can describe experiments reasonably well using different parameter values. Fully resolving interfaces and accessing microscales may be needed to definitively identify the governing physics.
L-8 VECM Formulation, Hypothesis Testing, and Forecasting - KH.pptxRiyadhJack
This lecture discusses vector error correction models (VECM), comparing the single-equation Engle-Granger approach to the multivariate Johansen approach. It outlines the VECM formulation and discusses hypothesis testing and properties including cointegration, weak exogeneity, and Granger causality. An example analyzing the relationship between short-term and long-term interest rates is used to illustrate the methodology.
This document compares the LMS, KLMS, and NLMS-FL algorithms for time series prediction on the Mackey-Glass time series. It finds that the NLMS-FL algorithm achieves the best performance with the fastest convergence and lowest mean squared error. Experiments are conducted to determine the optimal parameters for NLMS-FL and compare the performance of the three algorithms under different noise levels and learning rates. The NLMS-FL algorithm outperforms LMS and KLMS in most conditions, demonstrating its effectiveness for time series prediction.
This paper recommends the use of grasshopper optimization algorithm (GOA), a nature-inspired optimization algorithm, for optimizing switching-angle applied to cascaded H-bridge multilevel inverter (CHBMLI). Switching angles are selected based on the minimum value of the objective function formulated using the concept of selective harmonic minimization pulse width modulation (SHMPWM) technique. MATLAB/Simulink-PSIM dynamic co-simulation conducted on a 3-phase 9-level CHBMLI shows that the CHBMLI controlled using GOA derived switching-angle is able to respond to varying modulation index demand and synthesize an AC staircase output voltage waveform with the desired fundamental harmonic and minimized selected low-order harmonics. Compared to Newton Raphson (NR) technique, GOA is able to find optimum switching-angle solutions over a wider modulation index range. Compared to Genetic Algorithm (GA), GOA is able to find global minima with higher probability. The simulation results validate the performance of GOA for switching-angle calculation based on the concept of SHMPWM.
A novel and efficient mixed-signal compressed sensing for wide-band cognitive...Polytechnique Montreal
In cognitive radio (CR) networks, unlicensed (cognitive) users can exploit the licensed frequency bands by using spectrum sensing techniques to identify spectrum holes. This paper proposes a distributed compressive spectrum sensing scheme, in which the modulated wide-band converter can apply compressed sensing (CS) directly to analog signals at the sub-Nyquist rate and the central fusion receives signals from multiple CRs and exploits the multiple-measurements-vectors (MMV) subspace pursuit (M-SP) algorithm to jointly reconstruct the spectral support of the wide-band signal. This support is then used to detect whether the licensed bands are occupy or not. Finally, extensive simulation results show the advantages of the proposed scheme. Besides, we also compare the performance of M-SP with M-orthogonal matching pursuit (M-OMP) algorithms.
Development of Improved Diode Clamped Multilevel Inverter Using Optimized Sel...eeiej_journal
In this paper the role of Selective Harmonic Elimination (SHE) is presented for diode clamped twelve-level multilevel inverter (DCMLI) based on dog leg optimization algorithm. Non-linear equations has been solved to eliminate specific low order harmonics, using the developed DOP algorithm, while at the same time the fundamental component is retained efficiently. The non-linear nature of transcendental equation provide multiple or even no solution for a particular modulation index. The proposed optimization method solving the nonlinear transcendental equations providing all possible solutions. The paper also showing the comparison between different modulation techniques including the proposed method. The entire system has been simulated using MATLAB/Simulink. Simulation results confirm the effectiveness with negligible
THD.
Computation of Electromagnetic Fields Scattered from Dielectric Objects of Un...Alexander Litvinenko
1) The document describes a method called Multilevel Monte Carlo (MLMC) to efficiently compute electromagnetic fields scattered from dielectric objects of uncertain shapes. MLMC balances statistical errors from random sampling and numerical errors from geometry discretization to reduce computational time.
2) A surface integral equation solver is used to model scattering from dielectric objects. Random geometries are generated by perturbing surfaces with random fields defined by spherical harmonics.
3) MLMC is shown to estimate scattering cross sections accurately while requiring fewer overall computations compared to traditional Monte Carlo methods. This is achieved by optimally allocating samples across discretization levels.
Computation of electromagnetic fields scattered from dielectric objects of un...Alexander Litvinenko
Computational tools for characterizing electromagnetic scattering from objects with uncertain shapes are needed in various applications ranging from remote sensing at microwave frequencies to Raman spectroscopy at optical frequencies. Often, such computational tools use the Monte Carlo (MC) method to sample a parametric space describing geometric uncertainties. For each sample, which corresponds to a realization of the geometry, a deterministic electromagnetic solver computes the scattered fields. However, for an accurate statistical characterization the number of MC samples has to be large. In this work, to address this challenge, the continuation multilevel Monte Carlo (\CMLMC) method is used together with a surface integral equation solver.
The \CMLMC method optimally balances statistical errors due to sampling of
the parametric space, and numerical errors due to the discretization of the geometry using a hierarchy of discretizations, from coarse to fine.
The number of realizations of finer discretizations can be kept low, with most samples
computed on coarser discretizations to minimize computational cost.
Consequently, the total execution time is significantly reduced, in comparison to the standard MC scheme.
This document describes a methodology for simulating signal propagation on multiconductor transmission lines directly in the time domain using the Transmission Line Modeling (TLM) method combined with Z-transform techniques. The approach models a two-conductor transmission line using telegrapher's equations converted to the TLM format. It defines quantities such as incident and total voltages/currents and applies a bilinear Z-transform to obtain a numerical algorithm to calculate the total line quantities from the incident quantities. As an example, it simulates propagation of a short pulse on a hypothetical two-channel carbon nanotube transmission line.
This document summarizes a lecture on control charts for variables. It introduces the x-R and x-s control charts, which are used to monitor processes and detect changes in the mean (x) and variance (R or s) of a variable. It discusses how to establish control limits for these charts, calculate process capability, and interpret various patterns that may indicate non-random variation, including shifts, cycles and stratification. Rational subgrouping is important to ensure independent samples. The document also covers operating characteristics and how control charts can be used to estimate a process's ability to meet specifications under statistical control.
This lecture covers field-effect transistor (FET) reviews, the motivation for tunnel field-effect transistors (TFETs), device design and simulation, relevant literature, and simulation results. The results show that subthreshold swing (SS) of 6.4 mV/dec and on/off current ratio (Ion/Ioff) of >25,000 can be achieved with a graphene nanoribbon TFET with channel length of 40nm, width of 5nm, drain bias of 0.1V, and doping of 0.24eV. SS and Ion/Ioff vary inversely and exponentially with width, positively and logarithmically with length, and positively and exponentially with doping up to 0.
Performance of MMSE Denoise Signal Using LS-MMSE TechniqueIJMER
This paper presents performance of mmse denoises signal using consistent cycle spinning (ccs) and least square (LS) techniques. In the past decade, TV denoise technique is used to reduced the noisy signal. The main drawback is the low quality signal and high MMSE signal. Presently, we
proposed the CCS-MMSE and LS-MMSE technique .The CCS-MMSE technique consists of two steps. They are wavelet based denoise and consistent cycle spinning. The wavelet denoise is powerful decorrelating effect on many signal domains. The consistent cycle spinning is used to estimation the
MMSE in the signal domain. The LS-MMSE is better estimation of MMSE signal domain compare to
CCS-MMSE.The experimental result shows the average MMSE reduction using various techniques.
This document summarizes an implementation of economic gas-like models to analyze the influence of underlying network topologies. It introduces random symmetric and directed exchange rules for money transfers between agents. For random symmetric exchanges on networks like complete graphs, spatial networks, and scale-free networks, the money distribution converges to a Boltzmann-Gibbs form and is robust to network structure. A model with uniform savings is also introduced, where the money distribution takes a gamma-like form.
Singular rise and singular drop of cutoff frequencies in slot line and strip ...ijeljournal
The complete frequency spectrum of the circularly- shielded slot line and strip line are determined using an efficient domain decomposition and mode matching method. Asymptotic analyses show that, when the gap width of the slot line or the width of the strip line are too small, the TE frequencies may drop singularly and the TM frequencies may rise singularly. These new properties greatly affect the cutoff frequencies.
Singular rise and singular drop of cutoff frequencies in slot line and strip ...
ACN-Planck-2016
1. Simplified DM models with the full SM
gauge symmetry
Alexander Natale
Korea Institute for Advanced Study
In collaboration with:
Pyungwon Ko, Myeonghun Park, Hiroshi Yokoya
arXiv:1605.07058
Planck 2016
Valencia, Spain
May 23-27th, 2016
A. Natale | Simplified DM models with full SM gauge symmetry
1/16
2. Overview
1 EFTs and Simplified Models of DM
2 Our Simplified Model: ’full’ SM gauge
3 Key Results
4 Direct Detection
5 Collider Signatures
6 Summary & Conclusions
A. Natale | Simplified DM models with full SM gauge symmetry
2/16
3. EFTs Models of DM
Three major approaches to DM phenomenology:
EFT: non-renomalizable, higher dimension, DM-SM interactions
divided by the mass scale of new physics Λ
Parameters: Λ, mχ
Simplified model: renormalizable, unbroken SM gauge invariant model
with a mediator, DM, and SM interactions.
Parameters: λmed, mmed, mχ
UV-complete models: full, high energy description of BSM physics
Parameters: many
A. Natale | Simplified DM models with full SM gauge symmetry
3/16
4. SU(2)L and mono-W
EFTs break down when ECM approaches Λ, however breakdown of EFT
can happen in other situations.
See Bell et al (arXiv:1503.07874):
1
Λ2
(χγµ
χ)(uLγµuL + ξdLγµdL)
W
q
q χ
χ
ξ = −1 leads to mono-W enhancement from inteference between uL and
dL couplings → this violates SU(2)L!
A. Natale | Simplified DM models with full SM gauge symmetry
4/16
5. SU(2)L and mono-W
W
q
q χ
χ
→
Comes from enhancement from spurious WL contributions at high E:
ξ − 1 → 0 as E → vEW , so ξ ≈ 1 with ’full’ SM gauge group.
So EFT description with arbitrary ξ can break down on ECM O(v).
Bell, et al: arXiv:1503.07874
A. Natale | Simplified DM models with full SM gauge symmetry
5/16
6. SU(2)L and mono-W
Similar problems with EW symmetry can exist in simplified models
Take the following simplified Z model :
L = −Zµχ(gV
DM γµ
+ gA
DM γµ
γ5)χ − Zµf(gV
f γµ
+ gA
f γµ
γ5)f
If gA
u − gA
d − gV
u + gV
d = −2gV
u = 0 spurious contributions to ET
spectrum, enforcing EW symmetry eliminates these.
Tait, et al arXiv:1603.01267
A. Natale | Simplified DM models with full SM gauge symmetry
6/16
7. Direct Detection
Running effects form EFT scale to Hadronic scale generically mix
operators. These effects come from EW loops, quark-threshold scales, etc.
Usual method in simplified models of going to EFT to determine direct
detection misses these effects (can be sizable):
Running introduces additional dependence on Λ so cannot re-scale
constraints to eliminate coupling constants
Generally mixes RH and LH couplings, and introduces slight isospin
violation in SI cross section (in addition to the source from
λuR = λdR
)
A practitioner friendly guide for these effects can be found in D’Eramo et
al (arXiv:1411.3342).
A. Natale | Simplified DM models with full SM gauge symmetry
7/16
8. The Model
To generate general χqφmed interaction in a simplified model consider
three new scalar types: QLi, uRi,dRi. One Dirac fermion DM particle: χ
χQi†
L (λQL
) j
i QLj + χui†
R (λuR ) j
i uRj + χdi†
R (λdR
) j
i dRj + H.C.
Important quartic term leads to isospin violation (responsible for ξ in EFT
description):
λ4Φ†
QLQ†
LΦ
Recall: mono-W enhancement had arbitrary isospin violation among QL,
but this is actually fixed by λ4, λ4 ≤ 4π has small effect on mono-W
signal (Bell, Cai, Leane arXiv:1512.00476).
A. Natale | Simplified DM models with full SM gauge symmetry
8/16
9. Collider Signatures:mono-X Utility
Contour plots for mono-X when λqi /mqi
are allowed to vary (λdR
= 0):
2 4 6 8 10
2
4
6
8
10
m˜uR
[TeV]
m ˜QL
[TeV] mono-jet
102
50
10
5
1
0.5
0.1
mono-W
mono-Z
1
1 103
102
5⇥102
0.5
0.1
1
10 2
1
5⇥103
0.1
5 ⇥ 10 2
5 ⇥ 10 3
10
3
A. Natale | Simplified DM models with full SM gauge symmetry
9/16
11. Direct Detection
Models with t-channel colored scalars are highly constrained by direct
detection (10 GeV < mχ < 1 TeV excluded by LUX for Λ ≤ 10 TeV):
2 4 6 8 10
0.01
1
100
104
106
108
mχ [GeV]
σSI
N
[zb]
ΛQL
= 10 TeV
ΛuR
:
1 TeV
2 TeV
3 TeV
5 TeV
10 TeV
Coherent Neutrino Scattering
CDMSlite
LUX
Region where mχ > 1 TeV has significantly reduced mono-X
A. Natale | Simplified DM models with full SM gauge symmetry
11/16
12. Direct Detection
Plot (σXe − σGe)/σXe to determine relative difference:
2 4 6 8 10
2
4
6
8
10
ΛuR
[TeV]
ΛdR
[TeV]
ΛQL=3 TeV
-0.02
0
0.02
0.04
2 4 6 8 10
2
4
6
8
10
ΛQL
[TeV]
ΛuR
[TeV]
-0.035
-0.030
-0.025
-0.020
-0.015
-0.010
A. Natale | Simplified DM models with full SM gauge symmetry
12/16
13. Collider Signatures:Jet pT
Finite mass effects in kinematic mono-Jet pT :
(J) [GeV]
T
p
200 400 600 800 1000 1200 1400 1600 1800 2000
Normalizeddistribution
4−
10
3−
10
2−
10
1−
10
1
= 1.2 TeV
R
u= m
L
Qm
= 2 TeVR
u= m
L
Qm
= 3 TeVR
u= m
L
Qm
= 5 TeV
R
u= m
L
Qm
= 10 TeV
R
u= m
L
Qm
Mono-J @LHC 13TeV
= 0
R
d
= 1, fR
u= f
L
Qf
= 04
λ= 5 GeV,χm
λdR
= λ4 = 0,λQL
= λuR = 1,muR
= mQL
A. Natale | Simplified DM models with full SM gauge symmetry
13/16
15. Summary & Conclusions
Summary:
Very important to use the full SM gauge group when investigating
simplified models at colliders (gauge invariance, unitarity, etc.)
’Less simplified’ models: broader range of interesting collider
signatures, with only modest increase in complication (however
tension between thermal relic/direct detection for colored t-channel)
Conclusion:
Loosening constraints from the usual simplified models (ie
ΛQL
= ΛuR = ΛdR
) allows for the clear presentation of mono-X cross
sections.
A. Natale | Simplified DM models with full SM gauge symmetry
15/16
21. EFT Approach
Mass scale of new physics (Λ), higher dimensional operator (Dim. > 4),
assume a Lorentz structure (Γi), for instance:
D(6) : 1
Λ2 χΓ1χfΓ2f,
f are SM fermions, χ are DM
Useful tool for understanding direct detection: classify DM-SM operators
by structure of Γi and order of Λ, and measure constraints on operators
Known Issues:
Can break down if mediator mass on order of energy scale (eg 13 TeV
LHC),
More realistic models in general have multiple operators
Running effects generically mix different EFT operators
(arXiv:1411.3342)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
22. Simplified Model Approach
Use (at minimum) unbroken gauge group, minimal set of particles, reduce
to EFT at low energy, respect symmetries like L and B, MFV (see
arXiv:1506.03116).
Simplified models explain finite mediator mass effects and remain useful
even when ECM > Λ.
Known Issues:
Spurious enhancement of mono-W signatures (arXiv:1503.07874)
Spurious enhancement of high ET at colliders(arXiv:1603.01267)
Additional constraints from unitarity in scalar portal
(arXiv:1507.06158, arXiv:1512.00476)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
23. Simplified Model Approach
Use (at minimum) unbroken gauge group, minimal set of particles, reduce
to EFT at low energy, respect symmetries like L and B, MFV (see
arXiv:1506.03116).
Simplified models explain finite mediator mass effects and remain useful
even when ECM > Λ.
Known Issues:
Spurious enhancement of mono-W signatures
(arXiv:1503.07874)
Spurious enhancement of high ET at colliders
(arXiv:1603.01267)
Additional constraints from unitarity in scalar portal
(arXiv:1507.06158, arXiv:1512.00476)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
24. Direct Detection: Running
From a UV or Simplified model it is possible to generate the SM + χ EFT
defined as:
LSMχ = LSM χ(i/∂ − mχ)χ + Σd>4Σα
c
(d)
α
Λd−4 O
(d)
α
Nuclear
Scale
Weak
Mediator Energy
UV Complete Model
Scale
Scale
SM + χ + Mediators
SMχ EFT
SM + χ
EMSMχ EFT
EW broken SM + χ
Running down to the hadronic scale has additional effects:
αs corrections to SMχ and αs running
threshold effects/matching conditions as heavier quarks are integrated
out (ie 5 quark → 4 quark matching conditions for αs RGE/EFT
Wilson coefficients)
D’Eramo et al (arXiv:1411.3342)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
25. Direct Detection: Running
There are several sources of corrections:
SM-level corrections to fermions/Higgs directly and usual RGE effects
EW corrections to SMχ vertices that allow ¯χΓiχ ¯fL,RΓjfL,R terms
even if UV model has specific chirality assumed for SM-χ interaction
For example: ¯χχ ¯ψLψL, H† ¯ψL,RψR,L
χ
χ
H
ψL
ψL
ψR
ψR
D’Eramo et al (arXiv:1411.3342)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
26. Direct Detection: Running
Set of operators at high energy:
CSMχ = (C(u,d)L
), CuR , CdR
, C(ν,e)L
, CeR , . . . , CH)
Nuclear
Scale
Weak
Mediator Energy
UV Complete Model
Scale
Scale
SM + χ + Mediators
SMχ EFT
SM + χ
EMSMχ EFT
EW broken SM + χ
CEMSMχ = (CV u, CV d, . . . , CAu, CAd, . . .)
For Spin Independent direct detection the operators CV u and CV d, a
non-trivial mixing of operators in CSMχ basis.
D’Eramo et al (arXiv:1411.3342)
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
27. The Philosophy
Our model building guidelines:
Respect the full EW symmetry, not just the unbroken SM gauge
SU(3)C × U(1)EM
The dark sector can be more complicated (self-interaction,
multipartite, etc.), for DM at LHC we assume that χ is stable at least
lifetime of detector (ET )
work with a more ’UV-complete’ model than usual Simplified models
take into account flavor constraints, but loosen assumptions on
couplings to mediators & masses
Try to consider direct detection (+ running), thermal relic, but goal is
ultimately looking at collider signatures
The ultimate goal: try to find optimal balance between simplicity, and
UV-complete, that allows us to elucidate DM properties at colliders for
broadest possible set of models
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
28. Less Simplified Model
Consider SM-DM quark operator:
1
Λ2 χγµχqγµq = 1
Λ2 χγµχ(qLγµqL + qRγµqR)
SU(2)L fixes coupling between u and d, but to have both χqR, χqL
interactions require a doublet and a singlet (χγµχqγ5γµq).
Earlier simplified models previously assumed only doublet
(arXiv:1512.00476, arXiv:1503.07864), only singlet
(arXiv:1506.03116), or universal mass/coupling (arXiv:1507.00966).
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
29. Flavor Constraints
Cannot simultaneously diagonalize λ and m for scalars and q†qH†H terms
yield:
Rare Higgs decays: H → q∗
i q∗
j → qiqjχχ
Modified Higgs branching ratios to gg, γγ, Z γ, etc.
FCNC
χ is Dirac (no helicity flip in loop), and only one species (reduces FCNC as
compared to MSSM)
Assume: md
≈ ms, allows reduced K0 − K
0
mixing constraints
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
30. Direct Detection
Relaxing the assumptions about coupling constants significantly
complicates the direct detection, as there are generic material dependence
effects in the spin independent cross section:
1
64π
m2
N m2
χ
(mχ+mN )2
3|λQL
|2
m2
QL
+
|λuR
|2
m2
uR
+
|λdR
|2
m2
dR
+ 1
2
Z
A
|λuR
|2
m2
uR
−
|λdR
|2
m2
dR
Without considering running effects, the direct detection probes λ/mmed,
but there are isospin violating effects from λuR = λdR
.
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
31. Thermal Relic
Known tension between thermal relic and direct detection for t-channel,
colored, scalar mediators and from existing LHC constraints
(mmed > 1.2 TeV).
mχ ≈ 5 GeV → generically over-produced
if χ couples to Leptons, this can be alleviated
mχ ≈ 1 TeV → generically under-produced
if χ is not the only thermal relic this can be accommodated
For the LHC phenomenology we assume mχ = 5 GeV, but mχO(100) GeV
can be accommodated if there are additional thermal relics (reduced direct
detection constraints via t-channel mediator).
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
32. Collider Signatures
Collider signatures: mono-Jet, mono-W, mono-Z, two jets + ET, etc.
q χ
¯χ¯q
g
u χ
¯χ¯d
W
¯χ
χ
q
q
g ¯χ χ
qq
g
Mono-W signature depends on ΛQL
=
λQL
mQL
Mono-jet/mono-Z depends on all mediators
Complementary information from each mono-X when RH/LH quarks
reduces complexity
At 13 TeV: No significant difference from σEFT for mqR,L
O(10) TeV.
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
33. Collider Signatures
0 1 2 3 4 5 6 7 8 9 10
mQL
[TeV]
10
-2
10
-1
10
0
10
1
10
2
σtot
[fb]
10 TeV
3 TeV
Mono-J @ LHC 13 TeV ΛuR
= 10 TeV, mχ
= 5 GeV
fuR
= 1, fdR
= 0, λ4
= 0
5 TeV
ΛQL
= 2 TeV
pT
(J) > 100 GeV, |η(J)| < 5
0 1 2 3 4 5 6 7 8 9 10
mQL
[TeV]
10
-3
10
-2
10
-1
10
0
σtot
[fb]
10 TeV
3 TeV
Mono-W
+
@ LHC 13 TeV mχ
= 5 GeV, λ4
= 0
5 TeV
ΛQL
= 2 TeV
Mono-jet and mono-w+ cross sections for λQL
= λuR = 1,
muR
= 10 TeV, mono-W− will be 1/2 mono-W+ due to PDFs. For
mono-jet: | η |< 5, pT > 100 GeV.
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
34. Collider Signatures: Methods
Lt−channel = χQi†
L (λQL
) j
i QLj+χui†
R (λuR ) j
i uRj+χdi†
R (λdR
) j
i dRj+H.C.
Implement L in Feynrules (scalar widths implemented as internal
parameter, function of λq(L,R)
, mq(L,R)
)
Generate events with Madgraph 5 (| η |< 5, pT > 100 GeV for
mono-jet)
For kinematic distributions analyze with Delphes/Root
Make assumptions about coupling constants, masses, to simplify
parameter space but look at parameter choices different from previous
simplified models
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
35. Collider Signatures: mono-W
(l) [GeV]
T
p
100 200 300 400 500 600 700 800 900 1000
Normalizeddistribution
3−
10
2−
10
1−
10
= 04λ= 5 GeV,χ
LHC 13TeV, m
= 1.2 TeV
L
Qm
= 2 TeV
L
Qm
= 3 TeV
L
Qm
= 5 TeV
L
Qm
= 10 TeV
L
Qm
MET [GeV]
100 200 300 400 500 600 700 800 900 1000
Normalizeddistribution
3−
10
2−
10
1−
10
= 04λ= 5 GeV,χ
LHC 13TeV, m
= 1.2 TeV
L
Qm
= 2 TeV
L
Qm
= 3 TeV
L
Qm
= 5 TeV
L
Qm
= 10 TeV
L
Qm
0
Normalizeddistribution
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
(l) [GeV]
T
p
100 200 300 400 500 600 700 800 900 1000
Normalizeddistribution
3−
10
2−
10
1−
10
= 04λ= 5 GeV,χ
LHC 13TeV, m
= 1.2 TeV
L
Qm
= 2 TeV
L
Qm
= 3 TeV
L
Qm
= 5 TeV
L
Qm
= 10 TeV
L
Qm
MET [GeV]
100 200 300 400 500 600 700 800 900 1000
Normalizeddistribution
3−
10
2−
10
1−
10
= 04λ= 5 GeV,χ
LHC 13TeV, m
= 1.2 TeV
L
Qm
= 2 TeV
L
Qm
= 3 TeV
L
Qm
= 5 TeV
L
Qm
= 10 TeV
L
Qm
0
Normalizeddistribution
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
Lepton mono-W kinematics produced in Delphes for λ4 = 0, mχ = 5 GeV
Simplified models with lighter scalar mass has broader pT and ET
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
36. Collider Signatures:mono-X
0 1 2 3 4 5 6 7 8 9 10
mQL
[TeV]
10
-3
10
-2
10
-1
10
0
σtot
[fb]
10 TeV
3 TeV
Mono-W
+
@ LHC 13 TeV mχ
= 5 GeV / 300 GeV, λ4
= 0
5 TeV
ΛQL
= 2 TeV
A. Natale | Simplified DM models with full SM gauge symmetry
16/16
37. Collider Signatures:mono-X
0 1 2 3 4 5 6 7 8 9 10
mQL
[TeV]
10
-3
10
-2
10
-1
10
0
σtot
[fb]
10 TeV
3 TeV
Mono-Z @ LHC 13 TeV mχ
= 5 GeV / 300 GeV, fuR
= 1
fdR
= 0, ΛuR
= 10 TeV, λ4
= 0
5 TeV
ΛQL
= 2 TeV
A. Natale | Simplified DM models with full SM gauge symmetry
16/16