Emergence of Maximal Symmetry

TL;DR

This paper explores the concept of maximal symmetry in composite Higgs models, showing how it can improve the Higgs potential's behavior and proposing implementations that balance tuning and experimental constraints.

Contribution

It introduces the emergence conditions of maximal symmetry and presents simple models, including N-site and warped extra-dimensional frameworks, demonstrating their phenomenological advantages.

Findings

Maximal symmetry can soften the Higgs potential's ultraviolet behavior.

Models with maximal symmetry can reduce tuning in the Higgs sector.

Some implementations allow heavy top partners to evade LHC bounds.

Abstract

An emergent global symmetry of the composite sector (called maximal symmetry) can soften the ultraviolet behavior of the Higgs potential and also significantly modify its structure. We explain the conditions for the emergence of maximal symmetry as well as its main consequences. We present two simple implementations and generalize both to N-site as well as full warped extra dimensional models. The gauge symmetry of these models enforces the emergence of maximal symmetry. The corresponding Higgs potentials have unique properties: one case minimizes the tuning while the other allows heavy top partners evading direct LHC bounds.