Supergroup Symmetries and the Hierarchy Problem

We show that the mass of a scalar field transforming in the fundamental of an $SU(N|N+1)$ supergroup internal symmetry is protected against one-loop corrections from quartic, gauge, and yukawa interactions. Although the negative-norm states responsible for this protection are likely fatal to a unita...

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Bibliographic Details
Main Authors Craig, Nathaniel, Gendy, Emanuele, Howard, Jessica N
Format Journal Article
LanguageEnglish
Published 05.09.2024
Subjects
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
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Summary:We show that the mass of a scalar field transforming in the fundamental of an $SU(N|N+1)$ supergroup internal symmetry is protected against one-loop corrections from quartic, gauge, and yukawa interactions. Although the negative-norm states responsible for this protection are likely fatal to a unitary interpretation of the theory, such ultraviolet insensitivity may open a new avenue to understanding the lightness of the Higgs.
DOI:10.48550/arxiv.2409.03824