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CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
CP Violation at the LHC, Boston
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CP Violation at the LHC, Boston

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  • 1. Probing SUSY CP Violation in Stop Decays at the LHC The University of Manchester Frank Deppisch frank.deppisch@manchester.ac.uk University of Manchester in collaboration with Olaf Kittel (Granada U.) arXiv:0905.3088 [hep-ph] SUSY09, Boston, 7 June 2009
  • 2. CP Violation CP violation in quark sector 2/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 3. CP Violation CP violation in quark sector CP violation in neutrino sector? 3/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 4. CP Violation CP violation in quark sector CP violation in neutrino sector? Baryon Asymmetry of the Universe  B = n B / n  = 6.1 0.3⋅10−10 −0.2 → New mechanism of CP Violation required 4/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 5. CP Violation CP violation in quark sector CP violation in neutrino sector? Baryon Asymmetry of the Universe  B = n B / n  = 6.1 0.3⋅10−10 −0.2 → New mechanism of CP Violation required Supersymmetry Possible new CP phases in SUSY and SUSY-breaking Gaugino mass terms → φM1 , φM3 Higgs mixing term → φµ 3rd generation trilinear scalar coupling terms → φAt,b,τ 5/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 6. Bounds from Electric Dipole Moments Stringent bounds from electron and neutron EDMs ∣d ∣4⋅10−27 e⋅cm e −26 ∣d n∣6⋅10 e⋅cm 6/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 7. Bounds from Electric Dipole Moments Stringent bounds from electron and neutron EDMs ∣d ∣4⋅10−27 e⋅cm e −26 ∣d n∣6⋅10 e⋅cm Generally constrain SUSY phases to be small (or SUSY scale large), e.g. φµ < π/10 7/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 8. Bounds from Electric Dipole Moments Stringent bounds from electron and neutron EDMs ∣d ∣4⋅10−27 e⋅cm e −26 ∣d n∣6⋅10 e⋅cm Generally constrain SUSY phases to be small (or SUSY scale large), e.g. φµ < π/10 … unless cancellations occur between contributions  =1 °  =1 ° 8/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 9. Triple Product Asymmetries CP-even observables at colliders sensitive to phases masses branching ratios cross sections 9/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 10. Triple Product Asymmetries CP-even observables at colliders sensitive to phases masses branching ratios cross sections CP-odd observables are needed to confirm CP Violation 10/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 11. Triple Product Asymmetries CP-even observables at colliders sensitive to phases masses branching ratios cross sections p1 CP-odd observables are needed p3 to confirm CP Violation p2 Momentum triple product Time Reversal T = p1⋅ p 2× p 3  − p2 → T-odd → CPT Invariance → CP-odd − p3 − p1 11/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 12. Triple Product Asymmetries CP-even observables at colliders sensitive to phases masses branching ratios cross sections p1 CP-odd observables are needed p3 to confirm CP Violation p2 Momentum triple product Time Reversal T = p1⋅ p 2× p 3  − p2 → T-odd → CPT Invariance → CP-odd − p3 CP-odd asymmetry − p1 N T 0− N T 0 ∫ sign T ∣M∣ d Lips 2 A= = N T 0 N T 0 ∫∣M∣2 d Lips 12/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 13. Stop Production at the LHC Framework mSUGRA decorated with CP phases at EW scale Benchmark Scenario 13/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 14. Stop Production at the LHC Framework mSUGRA decorated with CP phases at EW scale Benchmark Scenario Stop pair production at Stop boost distribution the LHC Cross section ∗ pp   i  i t t 14/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 15. CP-odd Asymmetries in Stop Decays Stop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations t 1 0 2 L/R l 15/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 16. CP-odd Asymmetries in Stop Decays Stop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations Triple product asymmetries not t 1 Lorentz-invariant 0 2 L/R l 16/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 17. CP-odd Asymmetries in Stop Decays Stop cascade decay sensitive to φAt, φµ(, φM1) from spin-spin correlations Triple product asymmetries not t 1 Lorentz-invariant 0 2 L/R l Asymmetry reduction with stop boost Effect of stop boost on asymmetry 1 ∞ d A = ∫0 lab A d  t  d  t 17/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 18. mSUGRA Parameters left-h. slepton,  1  2 t , 2   L l t   l right-h. slepton, 1  2 t , 2   R l t   l ∣A0∣=500 GeV , tan =5  A =3 /4  , =0 t Minimally required luminosity at the LHC to observe 1σ effect Based only on theoretical significance (statistical fluctuation of signal) S ≈∣A∣  L 18/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 19. CP Phase Sensitivity Asymmetry in the lab frame [%]  1  2 t , 2   R l t   l Min. luminosity required at LHC m0 =70 GeV , m1 /2 =270 GeV ∣A0∣=500 GeV , tan =5 Asymmetry largely independent of φM1 in mSUGRA Large asymmetries possible for small φAt and φµ 19/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 20. Conclusion CP Violation in Stop decays at the LHC Via 2nd Lightest Neutralino Top-Neutralino Spin-Spin Correlations Sensitive to CP phases φAt and φµ in mSUGRA 20/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 21. Conclusion CP Violation in Stop decays at the LHC Via 2nd Lightest Neutralino Top-Neutralino Spin-Spin Correlations Sensitive to CP phases φAt and φµ in mSUGRA Triple Product Asymmetries CP-odd observables → Signal of CP Violation Alternative Sensitivity than EDMs Detectable at LHC 21/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009
  • 22. Conclusion CP Violation in Stop decays at the LHC Via 2nd Lightest Neutralino Top-Neutralino Spin-Spin Correlations Sensitive to CP phases φAt and φµ in mSUGRA Triple Product Asymmetries CP-odd observables → Signal of CP Violation Alternative Sensitivity than EDMs Detectable at LHC Motivation for experimental analysis Reconstruction Efficiencies Epsilon Product of Four Momenta 22/22 Frank Deppisch SUSY CP Violation in Stop Decays at LHC 7/6/2009

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