Vacuum Decay in the Standard Model: Analytical Results with Running and Gravity

Abstract

A tunneling bounce driving the decay of a metastable vacuum must respect an integral constraint dictated by simple scaling arguments that is very useful to determine key properties of the bounce. After illustrating how this works in a simple toy model, the Standard Model Higgs potential is considered, including quartic coupling running and gravitational corrections as sources of scale invariance breaking. This approach clarifies the existence of the bounce and leads to simple and accurate analytical results in an expansion in the breaking parameters. Using the so-called tunneling-potential approach (generalized for nonminimal coupling to gravity) the integral constraint and the tunneling action are extended to second order in perturbations.

30 pages, 4 figures

References in corpus (8)

• Power-counting and the Validity of the Classical Approximation During Inflation
• Gravitational corrections to Standard Model vacuum decay
• On gravitational and thermal corrections to vacuum decay
• Decay Rate of Electroweak Vacuum in the Standard Model and Beyond
• A Fresh Look at the Calculation of Tunneling Actions
• Tunneling Without Bounce
• A Fresh Look at the Calculation of Tunneling Actions including Gravitational Effects
• Direct Higgs-gravity interaction and stability of our Universe

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• Pseudo-Bounces vs. New Instantons
• The Stabilizing Effect of Gravity Made Simple
• Higgs chameleon
• Exact solutions for Vacuum Decay in Unbounded Potentials
• At the End of the World: Local Dynamical Cobordism
• Fate of false vacuum in non-perturbative regimes: Gravity effects