Electroweak Vacuum Stability and Gravitational Vacuum Polarization in Schwarzschild Black-hole Background
Year: 2017
Type: preprint
Abstract: In this paper, we investigate how the gravitational vacuum polarization affects stabilities of the electroweak vacuum in the Schwarzschild black-hole background. By using the renormalized vacuum field fluctuation $\left _{\rm ren}$ which is approximately expressed by the thermal Hawking temperature $T_{\rm H}$ around the black-hole horizon ($r\approx 2M_{BH}$), we discuss the vacuum stability around the Schwarzschild black hole. In particular, we newly investigate the stability of the electroweak vacuum around evaporating primordial black holes (PBHs) by taking into account the back-reaction effects on the effective Higgs potential $V_{\rm eff}\left( \phi \right)$ which was ignored in past works. By incorporating these effects and analyzing the stability of the vacuum, we show that one evaporating black hole does not cause serious problems in vacuum stability of the standard model Higgs and obtain an upper bound on the evaporating PBH abundance $\beta \lesssim \mathcal{O}\left(10^{-21}\right) \left({m_{\rm PBH}}/{10^{9}{\rm g}} \right)^{3/2}$ not to induce any catastrophes.
Source: arXiv (Cornell University)
Authors: Kazunori Kohri, Hiroki Matsui
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2745212937