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arXiv · 2409.03824

Supergroup Symmetries and the Hierarchy Problem

Nathaniel Craig·Emanuele Gendy·Jessica N. Howard
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Abstract

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.

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Nathaniel Craig, Emanuele Gendy, Jessica N. Howard. 2024-09-05. Supergroup Symmetries and the Hierarchy Problem. https://arxiv.org/abs/2409.03824

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