Abstract
Abstract We revisit the constraints on the parameter space of the Minimal Supersymmetric Standard Model (MSSM), from charge and color breaking minima in the light of information on the Higgs from the LHC so far. We study the behavior of the scalar potential keeping two light sfermion fields along with the Higgs in the pMSSM framework and analyze the stability of the vacuum. We find that for lightest stops ≲ 1 TeV and small μ ≲ 500 GeV, the absolute stability of the potential can be attained only for $ \left| {{X_t}} \right|\lesssim \sqrt{{6{m_{{\widetilde{t}1}}}{m_{{\widetilde{t}2}}}}} $. The bounds become stronger for larger values of the μ parameter. Note that this is approximately the value of Xt which maximizes the Higgs mass. Our bounds on the low scale MSSM parameters are more stringent than those reported earlier in literature. We reanalyze the stau sector as well, keeping both staus. We study the connections between the observed Higgs rates and vacuum (meta)stability. We show how a precision study of the ratio of signal strengths, (μ γγ /μ ZZ ) can shed further light.
Highlights
JHEP02(2014)110 and αs [7,8,9,10,11,12]
We revisit the constraints on the parameter space of the Minimal Supersymmetric Standard Model (MSSM), from charge and color breaking minima in the light of information on the Higgs from the LHC so far
We study the behavior of the scalar potential keeping two light sfermion fields along with the Higgs in the phenomenological MSSM (pMSSM) framework and analyze the stability of the vacuum
Summary
The recent discovery of the Higgs boson at the LHC around 125 GeV [1, 2] puts severe constraints on the MSSM [25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40]. While such a value of the Higgs mass can be accommodated within MSSM, this would require a special choice of the parameters, in particular the trilinear stop mixing term, Xt. Including the leading one loop corrections, the lightest CP even Higgs in the MSSM has a. For stops of the O(1 TeV), a value of 125 GeV for the mass of the light Higgs requires a significant contribution from the Xt terms. The contribution from these terms gets maximized for values of |Xt| ∼ 6 mt1mt. It would be interesting to know whether large At values required to satisfy the Higgs mass measurement lead to color and charged breaking (CCB) minima. Out of the twenty-two parameters the most relevant parameters for the analysis are just the stop and Higgs sector parameters (mA, tan β, mQ33, mU33, μ). √ From figure 1 we see that√CCB constraints start playing an important role for |Xt|
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