Abstract
Consistent and phenomenologically successful scenarios of the Minimal Supersymmetric Standard Model (MSSM) include the Higgs potential which is positively defined at large fields and has two minima, one of them is true and stable vacuum in which we live. However, the effective terms of the MSSM potential which appear at a loop level can spoil the vacuum stability leading to a metastable or unstable vacuum configurations. Such a situation is analysed and the general necessary conditions of vacuum stability in the MSSM parameter space are imposed. For a majority of the MSSM “benchmark scenarios” which are used for reconstruction of production channels at the LHC, the effective potential is found to be always stable, except light stop and τ -phobic scenarios.
Highlights
The discovery of the Higgs boson with mass 125.09±0.24 GeV at the LHC [1] confirmed the fundamental concept of symmetry breaking in the scalar sector
In the Minimal Supersymmetric Standard Model (MSSM) the Higgs sector consists of five Higgs bosons
The conditions defined by eq (12) are not respected in this case and corrections coming from dimension-six operators spoil the vacuum stability
Summary
The discovery of the Higgs boson with mass 125.09±0.24 GeV at the LHC [1] confirmed the fundamental concept of symmetry breaking in the scalar sector. The properties of a new scalar, e.g. its spin, CP parity, and coupling strengths to the SM particles, are consistent within the statistical uncertainties with predictions of the Standard Model (SM). Combined results [2] for the Higgs boson production and decay rates as well as constraints on its couplings to the SM particles leave a room for meaningful contributions of physics beyond the SM. In the SM the scalar sector is single-field in the unitary gauge. In the SM extensions, the situation is more complicated because the Higgs sector includes several fields
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