Gravity and the stability of the Higgs sector

TL;DR

This paper investigates how strong gravitational fields affect the Higgs effective potential, revealing that gravity-induced terms can influence potential stability and necessitate further study in curved spacetime.

Contribution

It provides the first calculation of the one-loop corrected Higgs effective potential in arbitrary curved spacetime within the gauge-less top-Higgs sector.

Findings

Gravity-induced terms affect the Higgs potential in various field regions.

Results suggest high curvature impacts Higgs stability analysis.

Highlights need for further research in full Standard Model context.

Abstract

We pursued the question of the influence of a strong gravitational field on the structure of the Higgs effective potential in the gauge-less top-Higgs sector of the Standard Model with an additional scalar singlet. To this end, we calculated the one-loop corrected effective potential in an arbitrary curved spacetime. We have found that the gravity induced terms in the effective potential may influence its behavior in both small and large field regions. This result indicated the necessity of a more careful investigation of the effect of high curvature in the problems concerning the stability of the Higgs effective potential in the full Standard Model.