English

Supergroup Symmetries and the Hierarchy Problem

High Energy Physics - Phenomenology 2024-09-09 v1 High Energy Physics - Theory

Abstract

We show that the mass of a scalar field transforming in the fundamental of an SU(NN+1)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.

Keywords

Cite

@article{arxiv.2409.03824,
  title  = {Supergroup Symmetries and the Hierarchy Problem},
  author = {Nathaniel Craig and Emanuele Gendy and Jessica N. Howard},
  journal= {arXiv preprint arXiv:2409.03824},
  year   = {2024}
}

Comments

5 pages

R2 v1 2026-06-28T18:35:47.417Z