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

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

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

4. What is SUSY ? Edward Witten

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

6. Edward Witten

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

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

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  Effective SUSY (Natural SUSY) Low energy SUSY (M SUSY < TeV) seems not true ~

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

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

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

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

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

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

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

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

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

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

27. How to enhance the di-photon rate at the LHC ? 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 gg  h   hgg coupling not enhanced to enhance B(h  )

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

30. Implication for XENON100:

31. 3 Conclusion and outlook From Higgs search (125 GeV Higgs):

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

33. 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

34. Thanks !