On the vacuum stability of SUSY models

TL;DR

This paper investigates the stability of vacua in supersymmetric models, focusing on the existence of multiple minima, their implications, and the methods to evaluate tunneling times and potential risks in specific SUSY frameworks.

Contribution

It provides a detailed analysis of vacuum stability, including the identification of multiple minima and the evaluation of tunneling times in the CMSSM and B-L extended MSSM.

Findings

Multiple minima can exist in SUSY models affecting stability.

Tunneling times between vacua are calculable and relevant.

Color/charge breaking minima pose potential threats to vacuum stability.

Abstract

The existence of multiple non-equivalent minima of the scalar potential in SUSY models both raises technical challenges and introduces interesting physics. The technical challenges are now that one has to find several minima and evaluate which is the deepest, as well as calculate the tunneling time from a false vacuum to the true vacuum. We present here studies on the vacuum stability and color/charge breaking minima in the CMSSM and R parity violating minima in a B-L extended MSSM.