Bounds on the Higgs mass in the Standard Model and the Minimal Supersymmetric Standard Model

Details Bounds on the Higgs mass in the Standard Model and the Minimal Supersymmetric Standard Model Bounds on the Higgs mass in the Standard Model and the Minimal Supersymmetric Standard Model

1995-09-26

arxiv.org/abs/hep-ph/9509395v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, latex + sprocl + psfig.sty, 6 uuencoded figures. Based on talk given at the International Workshop on Elementary Par

Scientific paper

Depending on the Higgs-boson and top-quark masses, $M_H$ and $M_t$, the effective potential of the {\bf Standard Model} can develop a non-standard minimum for values of the field much larger than the weak scale. In those cases the standard minimum becomes metastable and the possibility of decay to the non-standard one arises. Comparison of the decay rate to the non-standard minimum at finite (and zero) temperature with the corresponding expansion rate of the Universe allows to identify the region, in the ($M_H$, $M_t$) plane, where the Higgs field is sitting at the standard electroweak minimum. In the {\bf Minimal Supersymmetric Standard Model}, approximate analytical expressions for the Higgs mass spectrum and couplings are worked out, providing an excellent approximation to the numerical results which include all next-to-leading-log corrections. An appropriate treatment of squark decoupling allows to consider large values of the stop and/or sbottom mixing parameters and thus fix a reliable upper bound on the mass of the lightest CP-even Higgs boson mass. The discovery of the Higgs boson at LEP~2 might put an upper bound (below the Planck scale) on the scale of new physics $\Lambda$ and eventually disentangle between the Standard Model and the Minimal Supersymmetric Standard Model.

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