Supergroup Symmetries and the Hierarchy Problem

TL;DR

This paper demonstrates that scalar fields in certain supergroup symmetries have mass protection against quantum corrections, potentially offering insights into the Higgs boson's lightness despite issues with unitarity.

Contribution

It introduces a novel mechanism where supergroup symmetries protect scalar masses at one-loop level, suggesting a new approach to the hierarchy problem.

Findings

Scalar mass is protected at one-loop from quantum corrections.

Negative-norm states prevent unitarity but do not affect mass protection.

Ultraviolet insensitivity may provide a new perspective on the Higgs mass.

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.