Gravity loop corrections to the standard model Higgs in Einstein gravity

TL;DR

This paper investigates how one-loop quantum gravity corrections influence the stability of the standard model Higgs potential near the Planck scale, revealing that gravity effects can compete with the Higgs potential in high-energy regimes.

Contribution

It provides the first detailed calculation of one-loop gravity corrections to the Higgs potential in Einstein gravity using a momentum cut-off, highlighting their impact on stability at Planck energies.

Findings

Gravity corrections are comparable to the Higgs potential near the Planck scale.

These corrections can alter the stability conditions of the Higgs potential.

The standard model potential becomes nearly zero at high energies, making gravity effects significant.

Abstract

We study one-loop quantum gravity corrections to the standard model Higgs potential $V(\phi)$ $\grave{\rm a}$ la Coleman-Weinberg and examine the stability question of $V(\phi)$ in the energy region of Planck mass scale, $\mu\simeq M_{\rm Pl}$ ($M_{\rm Pl}=1.22\times10^{19}{\rm GeV}$). We calculate the gravity one-loop corrections to $V(\phi)$ in Einstein gravity by using the momentum cut-off $\Lambda$. We have found that even small gravity corrections compete with the standard model term of $V(\phi)$ and affect the stability argument of the latter part alone. This is because the latter part is nearly zero in the energy region of $M_{\rm Pl}$.