Higgs data constraints on the minimal supersymmetric standard model

Abstract: We perform global fits to the most recent data (after summer 2014) on Higgs boson signal strengths in the framework of the minimal supersymmetric standard model (MSSM). We further impose the existing limits on the masses of charginos, staus, stops and sbottoms together with the current Higgs mass constraint $|M_{H_1} - 125.5\,{\rm GeV}| < 6$ GeV. The heavy supersymmetric (SUSY) particles such as squarks enter into the loop factors of the $Hgg$ and $H\gamma\gamma$ vertices while other SUSY particles such as sleptons and charginos also enter into that of the $H\gamma\gamma$ vertex. We also take into account the possibility of other light particles such as other Higgs bosons and neutralinos, such that the 125.5 GeV Higgs boson can decay into. We use the data from the ATLAS, CMS, and the Tevatron, with existing limits on SUSY particles, to constrain on the relevant SUSY parameters. We obtain allowed regions in the SUSY parameter space of squark, slepton and chargino masses, and the $\mu$ parameter. We find that $|\Delta S^\gamma/S^\gamma_{\rm SM}|\lsim 0.1$ at $68\%$ confidence level when $M_{\tilde{\chi}^{\pm}_1}>300$ GeV and $M_{\tilde{\tau}1}>300$ GeV, irrespective of the squarks masses. Furthermore, $|\Delta S^\gamma/S^\gamma{\rm SM}|\lsim 0.03 $ when $M_{\tilde{\chi}^\pm_1,{\tilde{\tau}_1}} > 500$ GeV and $M_{{\tilde t}_1,{\tilde b}_1} \gsim 600$ GeV.