NNLO corrections to false vacuum decay rate in thin-wall approximation

TL;DR

This paper develops a method to compute two-loop radiative corrections to false vacuum decay rates in scalar quantum field theory, enhancing the precision of decay rate calculations near the Planck scale.

Contribution

It introduces a technique for calculating two-loop corrections in false vacuum decay within the thin-wall approximation, using dimensional regularization and two renormalization schemes.

Findings

Calculated two-loop corrections in Coleman-Weinberg scheme.

Derived decay rates using the $ar{MS}$ scheme.

Enhanced accuracy of metastable vacuum decay analysis.

Abstract

Recently it was discovered that the Standard Model vacuum may suffer an essential metastability near the Planck scale. In this regard it makes sense to study in more detail the decay processes of the metastable vacuum and to develop methods for their more accurate analysis. In this article we develop a technique to calculate two loop radiative corrections to false vacuum decay rate in thin-wall approximation and apply it to false vacuum decay in scalar quantum field theory with cubic and quartic interactions. The results obtained use dimensional regularization and given in two different renormalization schemes: Coleman-Weinberg and $\overline{MS}$.