Vacuum Decay Rate in D-dimensional Electroweak theories

Fuente: arXiv
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Main Authors: Wang, Jingwei, Bian, Ligong
Format: Preprint
Published: 2026
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author Wang, Jingwei
Bian, Ligong
author_facet Wang, Jingwei
Bian, Ligong
contents We present a systematic framework for calculating the vacuum decay rate in D-dimensional electroweak theories, providing a unified treatment of quantum fluctuations for scalar, fermion, and gauge boson fields via a combined WKB expansion and dimensional regularization. This method ensures rapid convergence even at large angular momenta. Application to a $D=4$ standard model effective field theory gives $\log_{10}(γ\times \text{Gyr} \times \text{Gpc}^3)=183$. In the finite-temperature, dimensionally reduced standard model effective field theory with $D=3$, the values are $\log_{10}(Γ_T \times \text{Gyr} \times \text{Gpc}^3)=42.4$ at tree level and $116.1$ at two-loop order. The approach offers a general and efficient tool for analyzing vacuum stability and decay across dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13008
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Vacuum Decay Rate in D-dimensional Electroweak theories
Wang, Jingwei
Bian, Ligong
High Energy Physics - Phenomenology
High Energy Physics - Theory
We present a systematic framework for calculating the vacuum decay rate in D-dimensional electroweak theories, providing a unified treatment of quantum fluctuations for scalar, fermion, and gauge boson fields via a combined WKB expansion and dimensional regularization. This method ensures rapid convergence even at large angular momenta. Application to a $D=4$ standard model effective field theory gives $\log_{10}(γ\times \text{Gyr} \times \text{Gpc}^3)=183$. In the finite-temperature, dimensionally reduced standard model effective field theory with $D=3$, the values are $\log_{10}(Γ_T \times \text{Gyr} \times \text{Gpc}^3)=42.4$ at tree level and $116.1$ at two-loop order. The approach offers a general and efficient tool for analyzing vacuum stability and decay across dimensions.
title Vacuum Decay Rate in D-dimensional Electroweak theories
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2601.13008