Two-loop corrections to false vacuum decay in scalar field theory

TL;DR

This paper calculates two-loop radiative corrections to false vacuum decay in a scalar field theory, providing analytical expressions for the decay rate using dimensional regularization and the $ar{MS}$ scheme.

Contribution

It presents the first analytical computation of two-loop corrections to false vacuum decay in four-dimensional scalar field theory.

Findings

Derived explicit two-loop decay rate expressions

Utilized thin wall approximation for analytical tractability

Applied dimensional regularization and $ar{MS}$ scheme

Abstract

We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were able to get analytical expression for the decay rate up to two loop order. The results obtained employ dimensional regularization and $\overline{MS}$ renormalization scheme.