N-Relaxion: Large Field Excursions from a Few Site Relaxion Model

TL;DR

The paper introduces an N-site relaxion model that naturally achieves large field excursions necessary for addressing the hierarchy problem, utilizing non-abelian fields and a continuum limit akin to a warped extra dimension.

Contribution

It presents a novel multi-site relaxion framework that overcomes UV completion challenges and enables large decay constants through non-abelian field constructions.

Findings

Model achieves large decay constants naturally.

Allows controlled high energy behavior with non-abelian fields.

Admits a continuum limit interpreted as a warped extra dimension.

Abstract

Relaxion models are an interesting new avenue to explain the radiative stability of the Standard Model scalar sector. They require very large field excursions, which are difficult to generate in a consistent UV completion and to reconcile with the compact field space of the relaxion. We propose an N-site model which naturally generates the large decay constant needed to address these issues. Our model offers distinct advantages with respect to previous proposals: the construction involves non-abelian fields, allowing for controlled high energy behaviour and more model building possibilities, both in particle physics and inflationary models, and also admits a continuum limit when the number of sites is large, which may be interpreted as a warped extra dimension.