TL;DR
This paper investigates how primordial black holes influence the stability of the Higgs vacuum by potentially reducing the energy barrier for transitions to a new vacuum state, impacting the universe's evolution.
Contribution
It provides a detailed analysis of how black holes affect the nucleation rate of vacuum decay in the Standard Model and its extensions.
Findings
Black holes significantly lower the energy barrier for vacuum transitions.
Primordial black holes could alter Higgs vacuum stability conditions.
The analysis constrains the compatibility of black holes with Higgs potential stability.
Abstract
We study the effect of primordial black holes on the classical rate of nucleation of AdS regions within the standard electroweak vacuum. We find that the energy barrier for transitions to the new vacuum, which characterizes the exponential suppression of the nucleation rate, can be reduced significantly in the black-hole background. A precise analysis is required in order to determine whether the the existence of primordial black holes is compatible with the form of the Higgs potential at high temperature or density in the Standard Model or its extensions.
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