SUSY@LHC    without R-Parity                            岩本 祥 [Sho Iwamoto]                                              20...
Contents1. SUSY and R-Parity2. Other ways3. What I’m studying4. Why not Explored?5. Exemplary Study                       ...
1. SUSY and R-Parity SUSYだと陽子崩壊が起きるから R-Parityを課すのがいいよ。  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009...
SUSY and R-parity Standard Model                                      (SM)  › VERY NICE theory!!   › But has some problem...
SUSY and R-parityBut SUSY also has some problems.  › Many Particles (do they exist?),  › Many Models (How to break SUSY?),...
Proton decay @ MSSMUnder MSSM (Minimal Supersymmetric Standard Model), we have following interactions:And then……    [Lunch...
Proton decay @ MSSM    Proton decays!![Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <7>
Proton decay @ MSSM                                                                 ( i, j, k for generations.)Unreasonabl...
SUSY and R-parity Howshould we do? → Review the Standard Model case. Why  does not proton decay under SM?→ BecauseBaryon...
Proton decay @ SMUnder SM, 湯川 interactions are only                                         and their Hermitian conjugates...
Proton decay @ SM Roughly   speaking,       Proton decay, such as                 is B-/L-violating process. Therefore, ...
Proton decay @ MSSM B nor L!      MSSM conserves neitherHowever, under SUSY models, possible interactions are:            ...
SUSY and R-parity We    want to omit           these B/L-breaking terms. → We introduce R-Parity.                        ...
SUSY and R-parity R-Parity           forbids these interactions.  → B/L are conserved again!  → Proton become stable agai...
SUSY and R-parity And         as you know, since R-Parity makes LSP stable,                            (Lightest Supersym...
2. Other Ways でも実はR-Parityじゃない対称性 でもいいよ  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <16>
Other ways But       Why R-Parity?  › Evidence for R-Parity conserving?  › No other symmetry can prohibit    Proton Decay...
Proton decay @ MSSM Roughly speaking,    Proton Decay needs     both B-violating and L-violating term.                   ...
Proton decay @ MSSM Roughlyprecisely, Or a bit speaking,    Proton Decay needs     Proton decay doesn’t occur if     bot...
Other ways Thereforewe can easily find “other ways.”  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06...
Other ways                     L-violate                               B-violate Baryon              Parity › Proton → no...
Other ways                     L-violate                               B-violate Lepton              Parity › Proton → no...
Other ways                      L-violate                               B-violate R-Parity  › Proton → not decay         ...
Other ways That   is,     we can ADD     B- or L-violating interactions!![Example]   [Lunch Seminar] SUSY@LHC without R-P...
Other WaysNOTE◊ From a practical viewpoint,   “Which symmetry is installed?”                              is a secondary c...
3. What I’m studying  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <26>
What I’m studyingBy               the way, [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <27>
What I’m studyingalmostALLstudies on LHC [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <28>
What I’m studyingis assumingR-Parity conservation.  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08...
What I’m studyingHowever, as we’ve seen,We can violateR-Parity!  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto  ...
What I’m studying R-Parity             violation introduce  additional   interactions                                    ...
What I’m studying Therefore   if R-Parity is violated,      we will observe different  LHC event from R-Parity conserving...
What I’m studyingThen, if R-parity is violated,What willhappen in LHC?   [Lunch Seminar] SUSY@LHC without R-Parity / Sho I...
What I’m studyingThen, if R-parity is violated,What willhappen in LHC?   [Lunch Seminar] SUSY@LHC without R-Parity / Sho I...
What I’m studying   Therefore        I’m interested in[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/...
What I’m studying   LHC study        without        R-Parity.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2...
What I’m studying  Why is this themeBut not explored?  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06...
What I’m studying  someIs there PROBLEM?   [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <38>
4. Why not explored? R-Parityを仮定しないと,LHCで のSUSY eventの検出がとてもむ つかしくなるから。  [Lunch Seminar] SUSY@LHC without R-Parity / Sho ...
Why not explored? If   R-parity is conserved…   [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 ) ...
Why not explored? If   R-parity is conserved…   [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 ) ...
Why not explored? If   R-parity is conserved…                jet                   jet   [Lunch Seminar] SUSY@LHC without...
Why not explored? If   R-parity is conserved…                jet                                                       Cr...
Why not explored?                                                          we can’t observe!                              ...
Why not explored?Here, These LSPs are NOT observed!!![Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/0...
Why not explored?Here, These LSPs are NOT observed!!!→ Momentum seems to be   NOT conserved.→ Large “Missing Energy”This w...
Why not explored? However,if R-Parity is not conserved,    LSP DOES       DECAY!!  [Lunch Seminar] SUSY@LHC without R-Par...
Why not explored?                                                                           Observable!                   ...
Why not explored?Here, These LSPs are NOT observed!!!→ Momentum seems to be   NOT conserved.→ Large “Missing Energy”This w...
Why not explored?No more“Large   ”                                      signal[Lunch Seminar] SUSY@LHC without R-Parity /...
Why not explored? Thenhow can we “detect” SUSY in LHC-experiment?                  This is what I want to study! ……     ...
5. Exemplary Study この分野での過去の研究を紹介 します。                   B. C. Allanach et al.                   R-Parity violating minim...
Exemplary Study SUSY model : mSUGRA R-parity   : Broken LSP        :  [Lunch Seminar] SUSY@LHC without R-Parity / Sho I...
Now STAU is LSP. If   R-parity is conserved,       LSP = DM must be neutral.                                             ...
Now STAU is LSP. But if no R-parity, then    LSP can be charged, and…                                                    ...
Exemplary Study Then, what is observed in LHC?  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 ) ...
Exemplary Study The       paper discussed                case &                                                       cas...
Exemplary Study                   case Only                                  is available, i.e.                          ...
[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <59>
case LSP                will decay into 4-leptons.[Example] NLSP                       will decay as    [Lunch Seminar] ...
case Simulation                         ResultEvents with sparticle pair production are:          •Each event is acompani...
case              Features: Simulation Result              •Multi lepton final state (≧4)              •Multi tau final s...
case Key          point › Many                 s → Identification of   is                                 important for L...
case Key          point › Many                 s → Identification of   is                                 important for L...
case ConclusionIn this                                case,  › Multi tau  › Multi lepton  ›               (but not so lar...
caseBut really? We can really distinguish tau-jets? No Backgrounds?    (i.e. Aren’t similar final states created by SM e...
That’s all.  Thank you   for listening.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <67>
Appendix   Superpotential
Hierarchy Problem In   Standard Model with Higgs,  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08...
Hierarchy Problem[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/08 )   <70>
Hierarchy Problem In   MSSM (or other SUSY models),  [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto   ( 2009/06/...
Hierarchy Problem   And its superpartner goes round!                                                                     C...
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(20090608 ut)susy with-r-parity_violation

  1. 1. SUSY@LHC without R-Parity 岩本 祥 [Sho Iwamoto] 2009/06/08 Lunch Seminar @ UT/HongoB. C. Allanach et al.R-Parity violating minimal supergravity at the LHCarXiv: 0710.2034 [hep-ph]
  2. 2. Contents1. SUSY and R-Parity2. Other ways3. What I’m studying4. Why not Explored?5. Exemplary Study (if we have time, that is, if I’m not trapped anywhere.) B. C. Allanach et al. R-Parity violating minimal supergravity at the LHC arXiv: 0710.2034 [hep-ph] [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <2>
  3. 3. 1. SUSY and R-Parity SUSYだと陽子崩壊が起きるから R-Parityを課すのがいいよ。 [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <3>
  4. 4. SUSY and R-parity Standard Model (SM) › VERY NICE theory!! › But has some problems…. such as  Hierarchy problem, Neutrino mass, ….→ The most hopeful theory is….. SUSY (or Models with supersymmetry) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <4>
  5. 5. SUSY and R-parityBut SUSY also has some problems. › Many Particles (do they exist?), › Many Models (How to break SUSY?), › Many Parameters (Real values are…?)And furthermore, Proton decays!!! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <5>
  6. 6. Proton decay @ MSSMUnder MSSM (Minimal Supersymmetric Standard Model), we have following interactions:And then…… [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <6>
  7. 7. Proton decay @ MSSM Proton decays!![Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <7>
  8. 8. Proton decay @ MSSM ( i, j, k for generations.)Unreasonably constrained! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <8>
  9. 9. SUSY and R-parity Howshould we do? → Review the Standard Model case. Why does not proton decay under SM?→ BecauseBaryon number B and Lepton Number L are accidentally conserved. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <9>
  10. 10. Proton decay @ SMUnder SM, 湯川 interactions are only and their Hermitian conjugates.→ B and L are accidentally conserved by the gauge symmetry.→ Proton decay, e.g. , is forbidden. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <10>
  11. 11. Proton decay @ SM Roughly speaking, Proton decay, such as is B-/L-violating process. Therefore, “Protect B and L as SM” may be a good solution. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <11>
  12. 12. Proton decay @ MSSM B nor L! MSSM conserves neitherHowever, under SUSY models, possible interactions are: ( B / L conserving ) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <12>
  13. 13. SUSY and R-parity We want to omit these B/L-breaking terms. → We introduce R-Parity. ( s : spin ) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <13>
  14. 14. SUSY and R-parity R-Parity forbids these interactions. → B/L are conserved again! → Proton become stable again!!! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <14>
  15. 15. SUSY and R-parity And as you know, since R-Parity makes LSP stable, (Lightest Supersymmetric Particle) ∴ LSP → a Candidate for Dark Matter!! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <15>
  16. 16. 2. Other Ways でも実はR-Parityじゃない対称性 でもいいよ [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <16>
  17. 17. Other ways But Why R-Parity? › Evidence for R-Parity conserving? › No other symmetry can prohibit Proton Decay?… Actually we don’t have to BELIEVE R-Parity conservation. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <17>
  18. 18. Proton decay @ MSSM Roughly speaking, Proton Decay needs both B-violating and L-violating term. B L More precise? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <18>
  19. 19. Proton decay @ MSSM Roughlyprecisely, Or a bit speaking, Proton Decay needs Proton decay doesn’t occur if both B-violating and L-violating term. • Baryon number is conserved OR • (Lepton number is conserved and B L) More precise? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <19>
  20. 20. Other ways Thereforewe can easily find “other ways.” [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <20>
  21. 21. Other ways L-violate B-violate Baryon Parity › Proton → not decay Good! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <21>
  22. 22. Other ways L-violate B-violate Lepton Parity › Proton → not decay if Good! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <22>
  23. 23. Other ways L-violate B-violate R-Parity › Proton → not decay Good! › LSP → can be DM Lucky! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <23>
  24. 24. Other ways That is, we can ADD B- or L-violating interactions!![Example] [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <24>
  25. 25. Other WaysNOTE◊ From a practical viewpoint, “Which symmetry is installed?” is a secondary concern.◊ What is important is “Which terms are in Lagrangian?” [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <25>
  26. 26. 3. What I’m studying [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <26>
  27. 27. What I’m studyingBy the way, [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <27>
  28. 28. What I’m studyingalmostALLstudies on LHC [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <28>
  29. 29. What I’m studyingis assumingR-Parity conservation. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <29>
  30. 30. What I’m studyingHowever, as we’ve seen,We can violateR-Parity! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <30>
  31. 31. What I’m studying R-Parity violation introduce additional interactions to the Lagrangian. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <31>
  32. 32. What I’m studying Therefore if R-Parity is violated, we will observe different LHC event from R-Parity conserving case. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <32>
  33. 33. What I’m studyingThen, if R-parity is violated,What willhappen in LHC? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <33>
  34. 34. What I’m studyingThen, if R-parity is violated,What willhappen in LHC? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <34>
  35. 35. What I’m studying Therefore I’m interested in[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <35>
  36. 36. What I’m studying LHC study without R-Parity.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <36>
  37. 37. What I’m studying Why is this themeBut not explored? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <37>
  38. 38. What I’m studying someIs there PROBLEM? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <38>
  39. 39. 4. Why not explored? R-Parityを仮定しないと,LHCで のSUSY eventの検出がとてもむ つかしくなるから。 [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <39>
  40. 40. Why not explored? If R-parity is conserved… [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <40>
  41. 41. Why not explored? If R-parity is conserved… [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <41>
  42. 42. Why not explored? If R-parity is conserved… jet jet [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <42>
  43. 43. Why not explored? If R-parity is conserved… jet Created in pair! jet Then… [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <43>
  44. 44. Why not explored? we can’t observe! (e.g. ) Therefore[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <44>
  45. 45. Why not explored?Here, These LSPs are NOT observed!!![Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <45>
  46. 46. Why not explored?Here, These LSPs are NOT observed!!!→ Momentum seems to be NOT conserved.→ Large “Missing Energy”This would be a good SUSY signal.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <46>
  47. 47. Why not explored? However,if R-Parity is not conserved, LSP DOES DECAY!! [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <47>
  48. 48. Why not explored? Observable! Therefore[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <48>
  49. 49. Why not explored?Here, These LSPs are NOT observed!!!→ Momentum seems to be NOT conserved.→ Large “Missing Energy”This would be a good SUSY signal.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto [Lunch Seminar] SUSY ( 2009/06/08 ) ) 2010/02/11 <49>
  50. 50. Why not explored?No more“Large ” signal[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <50>
  51. 51. Why not explored? Thenhow can we “detect” SUSY in LHC-experiment? This is what I want to study! …… It is “case by case.” So,SUSY/LHC without R-Parity is difficult. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <51>
  52. 52. 5. Exemplary Study この分野での過去の研究を紹介 します。 B. C. Allanach et al. R-Parity violating minimal supergravity at the LHC arXiv: 0710.2034 [hep-ph] [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <52>
  53. 53. Exemplary Study SUSY model : mSUGRA R-parity : Broken LSP : [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <53>
  54. 54. Now STAU is LSP. If R-parity is conserved, LSP = DM must be neutral. Since DM must be neutral for cosmological reason. (which I don’t know well) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <54>
  55. 55. Now STAU is LSP. But if no R-parity, then LSP can be charged, and… Large parameter region is NOW OPEN!! B [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <55>
  56. 56. Exemplary Study Then, what is observed in LHC? [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <56>
  57. 57. Exemplary Study The paper discussed case & case. But today we focus only on case. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <57>
  58. 58. Exemplary Study case Only is available, i.e. Parameters [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <58>
  59. 59. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <59>
  60. 60. case LSP will decay into 4-leptons.[Example] NLSP will decay as [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <60>
  61. 61. case Simulation ResultEvents with sparticle pair production are: •Each event is acompanied by 2-4 jets. •Total cross section is . (100-1000events per year @ LHC’s best) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <61>
  62. 62. case Features: Simulation Result •Multi lepton final state (≧4) •Multi tau final state (≧4, in general)Events with sparticle pair production are: •Missing energy (from neutrinos) •Each event is acompanied by 2-4 jets. •Total cross section is . (100-1000events per year @ LHC’s best) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <62>
  63. 63. case Key point › Many s → Identification of is important for LHC! is observed as jet, and › Few jets (2-4) → Not so difficult to identify. And also › is also a good sign, because… [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <63>
  64. 64. case Key point › Many s → Identification of is important for LHC! is observed as jet, and › Few jets (2-4) → Not so difficult to identify. And also › is also a good sign, because… Peak of is lower than LSP-missing. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <64>
  65. 65. case ConclusionIn this case, › Multi tau › Multi lepton › (but not so large as O(100) GeV )are good signs of SUSY events. [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <65>
  66. 66. caseBut really? We can really distinguish tau-jets? No Backgrounds? (i.e. Aren’t similar final states created by SM events?) Detector simulation! How about on other parameter points?→ Need improvement! (or more detailed analysis.) [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <66>
  67. 67. That’s all. Thank you for listening.[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <67>
  68. 68. Appendix Superpotential
  69. 69. Hierarchy Problem In Standard Model with Higgs, [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <69>
  70. 70. Hierarchy Problem[Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <70>
  71. 71. Hierarchy Problem In MSSM (or other SUSY models), [Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <71>
  72. 72. Hierarchy Problem And its superpartner goes round! Cancelled![Lunch Seminar] SUSY@LHC without R-Parity / Sho Iwamoto ( 2009/06/08 ) <72>
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