pNGB Higgs Naturalness at a Tipping Point

TL;DR

This paper explores the naturalness of the pNGB Higgs model at a critical point where experimental searches and precision measurements intersect, proposing a comprehensive model that combines multiple naturalness approaches.

Contribution

It introduces a 'Kitchen Sink' model combining Supersymmetry, Twin Higgs, and pNGB Higgs with Gegenbauer potential, illustrating their interplay and implications for future colliders.

Findings

Maximally natural model constructed with combined approaches.

Demonstrates the transition point between direct searches and precision.

Discusses implications for FCC-ee and FCC-hh.

Abstract

In scenarios where the Higgs is viewed as a pseudo Nambu-Goldstone boson (pNGB) the question of naturalness finds itself, from a phenomenological perspective, at a tipping point between direct searches and precision. If, by the end of the High-Luminosity LHC operation, all experimental results were to remain consistent with the Standard Model, precision Higgs coupling measurements will begin to drive the naturalness tension. To illustrate this from a fresh perspective we construct a maximally natural `Kitchen Sink' model, throwing into the mix three approaches to symmetry-based naturalness: Supersymmetry, Twin Higgs, and pNGB Higgs models with a Gegenbauer potential. In other words, we build a `Supersymmetric Gegenbauer's Twin' model. This model not only maximises naturalness, at least from a technical perspective, but can also interpolate between all three ingredients smoothly, revealing the interplay between direct exploration and precision. Implications for FCC-ee and FCC-hh are discussed.