Vacuum decay constraints on the Higgs curvature coupling from inflation

We derive lower bounds for the Higgs-curvature coupling from vacuum stability during inflation in three inflationary models: quadratic and quartic chaotic inflation, and Starobinsky-like power-law inflation. In contrast to most previous studies we take the time-dependence of the Hubble rate into acc...

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Authors: Mantziris, Andreas, Markkanen, Tommi, Rajantie, Arttu
Format: Article
Language:English
Subjects:
Coupling
Curvature
Decay
Lower bounds
Quarks
Online Access:Get full text
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Summary:We derive lower bounds for the Higgs-curvature coupling from vacuum stability during inflation in three inflationary models: quadratic and quartic chaotic inflation, and Starobinsky-like power-law inflation. In contrast to most previous studies we take the time-dependence of the Hubble rate into account both in the geometry of our past light-cone and in the Higgs effective potential, which is approximated with three-loop renormalisation group improvement supplemented with one-loop curvature corrections. We find that in all three models, the lower bound is \(\xi\gtrsim 0.051\ldots 0.066\) depending on the top quark mass. We also demonstrate that vacuum decay is most likely to happen a few \(e\)-foldings before the end of inflation.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.03763