Standard Model vacuum stability in the presence of gauge invariant nonrenormalizable operators

TL;DR

This paper investigates how adding gauge-invariant nonrenormalizable operators affects the stability of the Standard Model vacuum, demonstrating gauge independence and mapping potential lifetimes.

Contribution

It provides the first gauge-independent analysis of SM vacuum stability with nonrenormalizable operators and explores the impact of RGE improvements.

Findings

Vacuum stability analysis remains gauge independent with nonrenormalizable operators.

Mapped the lifetimes of the vacuum under various operator configurations.

Discussed the implications of RGE improvements on stability results.

Abstract

Analysis of the Standard Model effective potential can reveal certain properties of the UV completion of SM. We discuss the issue of stability of the SM potential after inclusion of new nonrenormalizable interactions. We present the map of lifetimes resulting from different configurations of the new operators. The key result is proof of gauge independence of our results after inclusion of nonrenormalizable operators. We also discuss the consequences of RGE improvement of the potential.