The Constraints Of B_s�'μ~+μ~-on CMSSM And Its Implications On Higgs Physics At The LHC

In the past decades, the wonderful agreement of experiment with theory testifies the correctness of theStandard Model （SM） in describing the electro-weak physics. However, the theoretical defects of the SMitself suggest the existence of new physics. Supersymmetry（SUSY） is one of the most favorable newphysics models. The Minimal Supersymmetric Model（MSSM） is the simplest SUSY model and the studyof its phenomenology is one of the most popular themes. In this paper,we talk about the constraint fromthe rare decay B_s�'μ⁺μ^-under the mSUGRA-like constrained Minimal Supersymmetric Model（CMSSM） with unified value at the GUT scale, and its implications on Higgs physics at the LHC.The rare decayB_s�'μ⁺μ^-, because of the disagreement between experiment value and theoreticalcalculation value-in fact the former is larger than the later in the Standard model framework, is seen tobe an important evidence for New Physics（NP） existing and also to be an important way of probing NewPhysics. In MSSM, the branch ratio ofB_s�'μ⁺μ^-can be lifted by neutral Higgs particles（H, h, A） andchargino-stop loop, and increases with tan β. Therefore it is considered to be a good method of checkingthe existent of sparticles, although its upper limit is still updating. For example the latest upper limit of therare decayB_s�'μ⁺μ^-in2012has changed from1.1×10^-8（in2011） to7.7×10^-9（CMSCollaboration） or4.5×10^-9(LHCb Collaboration, it turns to be6.0×10^-9after considering the theoriticaluncertainty). In the present time, there are many papers about the rare decayB_s�'μ⁺μ^-in MSSM. Inthis paper, we talk about the constraints of the branch ratio of rare decayB_s�'μ⁺μ^-in CMSSM, usingthe newest value （July2011） ofB_s�'μ⁺μ^-, and discuss its phenomenology and implications on Higgsphysics at the LHC.NMSSMTools package is used to scan our selected parameter space, meanwhile we consider variousexperimental constraints. Besides direct talking about the rare decayB_s�'μ⁺μ^-, We also investigate theconstraints on the parameter space of the CMSSM using the method of double ratio R which includes thedecayB_s�'μ⁺μ^-. For the surviving points, we show the characteristics of them and study theirimplications on Higgs physics at the LHC in different projection planes. We know that large tan β and smallm_Aspace are necessary in searching non SM-like Higgs atLHC, but the rare decayB_s�'μ⁺μ^-shift the parameter space to the small tanβand largem_Aspace.Then it is likely to find the only SM-like Higgs particle at LHC, but will be difficult for the othersupersymmetric Higgs bosons. In conclusion, after considering the constraints, it is impossible to discoverthe Higgs bosons other than the SM-like Higgs boson at the LHC for30fb^-1integrated luminosity.