Effective potential (in)stability and lower bounds on the scalar (Higgs) mass

Abstract

It is widely believed that the top loop corrections to the Higgs effective potential destabilise the electroweak (EW) vacuum and that, imposing stability, lower bounds on the Higgs mass can be derived. With the help of a scalar-Yukawa model, we show that this apparent instability is due to the extrapolation of the potential into a region where it is no longer valid. Stability turns out to be an intrinsic property of the theory (rather than an additional constraint to be imposed on it). However, lower bounds for the Higgs mass can still be derived with the help of a criterium dictated by the properties of the potential itself. If the scale of new physics lies in the Tev region, sizeable differences with the usual bounds are found. Finally, our results exclude the alternative meta-stability scenario, according to which we might be living in a sufficiently long lived meta-stable EW vacuum.

38 pages, 9 figures

References in corpus (4)

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• A Precision Measurement of the Mass of the Top Quark
• Triviality and the Higgs mass lower bound
• Large logarithmic rescaling of the scalar condensate: a subtlety with substantial phenomenological implications

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• Global flow of the Higgs potential in a Yukawa model
• Can the Renormalization Group Improved Effective Potential be used to estimate the Higgs Mass in the Conformal Limit of the Standard Model?
• Higgs stability-bound and fermionic dark matter
• Effective potential and vacuum stability
• Direct Higgs-gravity interaction and stability of our Universe
• Renormalization Group Flow of the Higgs Potential
• Fine-tuning and vacuum stability in Wilsonian effective action
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• Radiative generation of metastable minima in a scalar-fermion model