Stability of Electroweak Vacuum and Supersymmetric Contribution to Muon g-2

TL;DR

This paper investigates how large supersymmetric contributions to muon g-2 can threaten electroweak vacuum stability, deriving bounds on slepton masses to ensure vacuum longevity.

Contribution

It provides a detailed one-loop calculation method for vacuum decay rate and establishes upper bounds on slepton masses linked to muon g-2 contributions.

Findings

Enhanced SUSY contributions can destabilize the electroweak vacuum.

An upper bound on slepton masses is derived based on vacuum stability.

A full one-loop decay rate calculation method is presented.

Abstract

We study the stability of the electroweak vacuum in the supersymmetric (SUSY) standard model (SM), paying particular attention to its relation to the SUSY contribution to the muon anomalous magnetic moment $a_\mu$. If the SUSY contribution to $a_\mu$ is sizable, the electroweak vacuum may become unstable because of enhanced trilinear scalar interactions in particular when the sleptons are heavy. Consequently, assuming enhanced SUSY contribution to $a_\mu$, an upper bound on the slepton masses is obtained. We give a detailed prescription to perform a full one-loop calculation of the decay rate of the electroweak vacuum for the case that the SUSY contribution to $a_\mu$ is enhanced. We also give an upper bound on the slepton masses as a function of the SUSY contribution to $a_\mu$.