In a classically scale-invariant quantum field theory, tunneling rates are infrared divergent
due to the existence of instantons of any size. While one expects such divergences to be …

The decay rate of the electroweak (EW) vacuum is calculated in the framework of the
standard model (SM) of particle physics, using the recent progress in the understanding of …

We perform a precise calculation of the decay rate of the electroweak vacuum in the
standard model as well as in models beyond the standard model. We use a recently …

A bstract We clarify issues of convexity, gauge-dependence and radiative corrections in
relation to tunneling rates. Despite the gauge dependence of the effective action at zero and …

In this paper, we discuss the Higgs vacuum stability around evaporating black holes. We
provide a new approach to investigate the false vacuum decay around the black hole and …

The measured (central) values of the Higgs and top quark masses indicate that the standard
model (SM) effective potential develops an instability at high field values. The scale of this …

A bstract We consider the requirements that all coupling constants remain perturbative and
the electroweak vacuum metastable up to the Planck scale in high-scale thermal …

We study the gauge invariance of the decay rate of the false vacuum for the model in which
the scalar field responsible for the false vacuum decay has gauge quantum number. In order …

We obtain the two-loop effective potential for general renormalizable theories, using a
generalized gauge-fixing scheme that includes as special cases the background-field R ξ …

A bstract The decay rate of a false vacuum is studied in gauge theory, paying particular
attention to its gauge invariance. Although the decay rate should not depend on the gauge …