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SUSY after LHC 2011 Data: A Brief Look

This brief overview delves into the implications of LHC results on Supersymmetry (SUSY), focusing on sparticle and Higgs boson search outcomes. The analysis suggests scenarios such as Natural SUSY and introduces models like mSUGRA and NMSSM. The discussion covers the mass range of the Higgs boson and examines potential fixes in various SUSY models. Additionally, it explores the decay of the Higgs boson to dark matter in SUSY, as well as strategies to enhance di-photon rates in models like MSSM and NMSSM. The conclusions point towards possibilities of Natural NMSSM and offer outlooks on potential discoveries at the LHC.

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SUSY after LHC 2011 Data: A Brief Look

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  1. SUSY after LHC 2011 Data: A Brief Look 杨 金 民 中国科学院 理论物理研究所 重庆 2012.5.8

  2. Outline 1 Introduction 2 Implication of LHC results on SUSY • Implication of sparticle search results • Implication of Higgs search results 3 Conclusion and outlook

  3. 1 Introduction ---Warm up SUSY • What is SUSY • Why believe SUSY • Models of SUSY

  4. What is SUSY ? Edward Witten

  5. Why believe SUSY ? Edward Witten • cosmic dark matter (WIMP)

  6. Edward Witten

  7. Models: Targets of LHC mSUGRA GMSB … … SUSY NMSSM AMSB MSSM

  8. 2 SUSY search results and implications LHC (7TeV, 5/fb) • Sparticle search results and implications • Higgs search results and implications

  9. 2.1 Sparticle search results at LHC ------ null results • First two generations of squarks > 1 TeV • If only 3rd generation sfermions are light, then • gluino > 600~800 GeV • 3rd generation squarks > 200~300 GeV

  10. Any implication from sparticle search results ? First two generations of squarks are heavy (> TeV) The 3rd generation squarks may still be light Low energy SUSY (MSUSY < TeV) seems not true ~  Effective SUSY (Natural SUSY)

  11. 2.2 Higgs boson search results and implication • LHC: 3-sigma at 125 GeV (di-photon signal rate is above SM prediction) • Tevatron: 2.2-sigma in 115-135 GeV

  12. If a light fundamental Higgs boson exists, Then theoretically (naturalness, hierarchy problem): • SM is not a natural, comfortable place for Higgs • SUSY is a paradise for Higgs ---a peaceful, harmonious place for Higgs 125 GeV Higgs: support SUSY !

  13. SUSY: Mh < 90 GeV at tree-level Mh < 130 GeV at loop-level

  14. However, 125 GeV Higgs is not so comfortable for SUSY It needs loop effects (mainly from stops)  heavy stops little fine-tuning

  15. Let’s check Higgs mass in some SUSY Models: • CMSSM (mSUGRA, GMSB, AMSB,…) • MSSM, NMSSM, nMSSM, …

  16. Higgs mass in mSUGRA (≤125 GeV) Cao, Heng, Li, Yang, arXiv:1112.4391

  17. Higgs mass in AMSB (<125 GeV) Baer, Barger, Mustafayev, arXiv:1202.4038

  18. Higgs mass in GMSB (<125 GeV) Baer, Barger, Mustafayev, arXiv:1202.4038

  19. How to repair GMSB to give a 125 GeV Higgs ?

  20. One way to repair GMSB: Kang, Li, Liu, Tong, Yang, arXiv:1203.2336

  21. Higgs mass in MSSM, NMSSM, nMSSM (125 GeV OK !) Cao, Heng, Liu, Yang, arXiv:1103.0631

  22. Higgs decay to dark matter in SUSY Cao, Heng, Yang, Zhu, arXiv:1203.0694

  23. Higgs decay to dark matter in SUSY: detectable at LHC ? Cao, Heng, Yang, Zhu, arXiv:1203.0694

  24. Take a careful look at MSSM and NMSSM: Cao, Heng, Yang, Zhang, Zhu, arXiv:1202.5821 MSSM: NMSSM:

  25. How to enhance the di-photon rate at the LHC ? gg  h   to enhance B(h) hgg coupling not enhanced NMSSM: it is easy • h-b-b coupling can be suppressed • so B(h) can be enhanced MSSM:it is hard • h-b-b coupling cannot be suppressed • need a light stau to enhance h coupling

  26. How about pphZZ* (WW*) at the LHC ?

  27. Implication for XENON100:

  28. 3 Conclusion and outlook From Higgs search (125 GeV Higgs):

  29. From sparticle search: First two generations of squarks are heavy (> TeV) The 3rd generation squarks may still be light Higgs search: Sparticle search:  Natural SUSY + NMSSM = Natural NMSSM

  30. Some guess (outlook): Discover stop, sbottom and gluino (but no other squarks)  Natural SUSY Discover gluino and/or chargino (but no any sfermions)  Split-SUSY Discover nothing (no sparticles)  High-scale SUSY

  31. Thanks !

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