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Status of low energy SUSY models after LHC (7 TeV) Higgs data. Jin Min Yang. (ITP, Beijing). KITPC (2012.6.25). Outline. 1 Low energy SUSY. 2 Implication of LHC search data. 3 Conclusion and outlook. 1 Low energy SUSY. --- Warm up SUSY. What is SUSY. Why believe SUSY.
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Status of low energy SUSY models after LHC (7 TeV) Higgs data Jin Min Yang (ITP, Beijing) KITPC (2012.6.25)
Outline 1 Low energy SUSY 2 Implication of LHC search data 3 Conclusion and outlook
1 Low energy SUSY --- Warm up SUSY • What is SUSY • Why believe SUSY • Models of SUSY
What is SUSY ? Edward Witten
Why believe SUSY ? Edward Witten • cosmic dark matter (WIMP)
Models: Targets of LHC mSUGRA GMSB … … SUSY NMSSM AMSB MSSM
2 Implication of LHC search data LHC (7TeV, 5/fb) • Sparticle search results and implications • Higgs search results and implications
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
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 really … ~ Effective SUSY (Natural SUSY)
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
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 !
SUSY: Mh < 90 GeV at tree-level Mh < 130 GeV at loop-level
However, 125 GeV Higgs is not so comfortable for SUSY It needs loop effects (mainly from stops) heavy stops little fine-tuning
Let’s check Higgs mass in some SUSY Models: • CMSSM (mSUGRA, GMSB, AMSB,…) • MSSM, NMSSM, nMSSM, …
Higgs mass in CMSSM/mSUGRA (≤125 GeV) Cao, Heng, Li, Yang, arXiv:1112.4391
Higgs mass in AMSB (<125 GeV) Baer, Barger, Mustafayev, arXiv:1202.4038
Higgs mass in GMSB (<125 GeV) Baer, Barger, Mustafayev, arXiv:1202.4038
One way to repair GMSB: Kang, Li, Liu, Tong, Yang, arXiv:1203.2336
Higgs mass in MSSM, NMSSM, nMSSM (125 GeV OK !) Cao, Heng, Liu, Yang, arXiv:1103.0631
Higgs decay to dark matter in SUSY Cao, Heng, Yang, Zhu, arXiv:1203.0694
Higgs decay to dark matter in SUSY: detectable at LHC ? Cao, Heng, Yang, Zhu, arXiv:1203.0694
Take a careful look at MSSM and NMSSM: Cao, Heng, Yang, Zhang, Zhu, arXiv:1202.5821 MSSM: NMSSM:
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
How about pphZZ* (WW*) at the LHC ? arXiv:1202.5821
Implication for XENON100: arXiv:1202.5821
Finally, comparison for CMSSM, MSSM, NMSSM, nMSSM
3 Conclusion and outlook From Higgs search (125 GeV Higgs):
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
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