Effective potential and vacuum stability

Abstract

By following previous work on this subject, we investigate the issue of the instability of the electroweak vacuum against the top loop corrections by performing an accurate analysis of a Higgs-Yukawa model. We find that, when the physical cutoff is properly implemented in the theory, the potential does not exhibit any instability. Moreover, contrary to recent claims, we show that this instability cannot be understood in terms of the very insightful work of Wu and Weinberg on the non-convexity of the one-loop effective potential of a scalar theory. Some of the theoretical and phenomenological consequences of our results are briefly discussed.

10 pages, 4 figures

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• Search for resonant and non-resonant Higgs boson pair production in the $b\bar{b}{\tau }^{+}{\tau }^{-}$ decay channel using 13 TeV $pp$ collision data from the ATLAS detector
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• Direct Higgs-gravity interaction and stability of our Universe
• Degeneracy induced scaling of the correlation length for periodic models
• Self-consistent radiative corrections to false vacuum decay