Theorem on vacuum stability

Fuente: arXiv
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Main Authors: Milagre, André, Lavoura, Luís
Format: Preprint
Published: 2024
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author Milagre, André
Lavoura, Luís
author_facet Milagre, André
Lavoura, Luís
contents We consider an extension of the Standard Model with one or more scalar multiplets beyond the Higgs doublet $Φ$. The additional scalar multiplets are supposed to carry arbitrary hypercharges. We prove that, in such a model, if the field configuration where only $Φ$ has a nonzero vacuum expectation value (VEV) is a local minimum of the potential, then it has a lower value of the potential than any field configuration where both $Φ$ and other scalar multiplets have nonzero VEVs.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19063
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Theorem on vacuum stability
Milagre, André
Lavoura, Luís
High Energy Physics - Phenomenology
High Energy Physics - Theory
We consider an extension of the Standard Model with one or more scalar multiplets beyond the Higgs doublet $Φ$. The additional scalar multiplets are supposed to carry arbitrary hypercharges. We prove that, in such a model, if the field configuration where only $Φ$ has a nonzero vacuum expectation value (VEV) is a local minimum of the potential, then it has a lower value of the potential than any field configuration where both $Φ$ and other scalar multiplets have nonzero VEVs.
title Theorem on vacuum stability
topic High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2411.19063