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Supergroup Symmetries and the Hierarchy Problem

2024/09/05 by Craig, Nathaniel, Gendy, Emanuele, Howard, Jessica N.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2409.03824

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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