Black holes don't source fast Higgs vacuum decay

TL;DR

This paper demonstrates that primordial black holes do not significantly catalyze Higgs vacuum decay, as the process is highly suppressed and unaffected by the Higgs-gravity coupling.

Contribution

It provides a non-perturbative analysis showing the negligible impact of primordial black holes on Higgs vacuum decay, regardless of Higgs-gravity coupling.

Findings

Decay rate is negligible due to small Higgs quartic coupling.

Decay rate is independent of Higgs non-minimal coupling to gravity.

Primordial black holes do not pose a threat to vacuum stability.

Abstract

We argue that the rate of Standard Model vacuum or thermal decay seeded by primordial black holes is negligible (because non-perturbatively suppressed by the small quartic Higgs coupling) and independent of the non-minimal coupling of the Higgs to gravity.