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Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry

J. A. Casas·J. R. Espinosa·M. Quiros
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Abstract

We re-examine the lower bound on the mass of the Higgs boson, $M_H$, from Standard Model vacuum stability including next-to-leading-log radiative corrections. This amounts to work with the full one-loop effective potential, $V(ϕ)$, improved by two-loop RGE, and allows to keep control of the scale invariance of $V$ in a wide range of the $ϕ$-field. Our results show that the bound is ${\cal O}\ (10\ GeV)$ less stringent than in previous estimates. In addition we perform a detailed comparison between the SM lower bounds on $M_H$ and the supersymmetric upper bounds on it. It turns out that depending on the actual value of the top mass, $M_t$, the eventually measured Higgs mass can discard the pure SM, the Minimal Supersymmetric Standard Model or both.

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J. A. Casas, J. R. Espinosa, M. Quiros. 1994-09-30. Improved Higgs Mass Stability Bound in the Standard Model and Implications for Supersymmetry. https://doi.org/10.1016/0370-2693(94)01404-z

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