Abstract

In this paper the control parameters of the Higgs potential are considered in the framework of supersymmetric models MSSM and Next-to-MSSM. The determination of these parameters is an important part related to the explanation of the CP violation evidence and electroweak phase transition evolution from the energy of the supersymmetry scale to the standard model energy scale. There is a discussion here on the problem of violation of CP invariance and its effect on the Higgs potential control parameters determination and the dark matter experimental constraints. Also the problem of determining the Potential ↔ Free Energy parameters from the points of temperature field theory and critical temperatures view is considered.

Highlights

  • Inconsistency of conditions for the first-order phase transition in the SM and experimental data on the Higgs boson mass provided by LHC initiates the beyond standard model analyses where the case of MSSM and next-tominimal supersymmetry (NMSSM) were investigated in the first place [1, 2]

  • Preliminary analysis of the zero and nonzero finite-temperature MSSM and NMSSM effective potentials has been performed [3,4,5] in the various scenarios

  • "Genuine one-loop" MSSM and NMSSM diagrams with the Higgs bosons interacting with the third generation of scalar quarks and gluinos were evaluated (socalled "threshold corrections" to the boundary condition for the two-doublet potential in terms of control parameters λ1 = λ2 = (g21 + g22)/8, λ3 = (g22 − g21)/4, etc. at the scale MS US Y )

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Summary

Introduction

Inconsistency of conditions for the first-order phase transition in the SM and experimental data on the Higgs boson mass provided by LHC initiates the beyond standard model analyses where the case of MSSM and NMSSM were investigated in the first place [1, 2]. "Genuine one-loop" MSSM and NMSSM diagrams with the Higgs bosons interacting with the third generation of scalar quarks and gluinos were evaluated (socalled "threshold corrections" to the boundary condition for the two-doublet potential in terms of control parameters λ1 = λ2 = (g21 + g22)/8, λ3 = (g22 − g21)/4, etc. The surface of field configurations must ensure positively defined squared masses of Higgs bosons. Some examples of the effective potential surface for stationary points and the regions of positively defined CP-even Higgs boson masses can be found in [6]. The focus is on the Higgs potential and parameters, which, to date, do not have a precise definition, but are important, because they arise further in the calculation of the masses of the Higgs bosons, and other physical parameters of the model

On the phase transition
Restrictions on the parameters of the MSSM
Restrictions on the parameters from the dark matter data
Conclusion

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