Asymptotic safety and gauged baryon number

TL;DR

This paper explores how gauged baryon number models can become asymptotically safe when gravitational effects are included, analyzing fixed points and their phenomenological implications at TeV scales.

Contribution

It introduces a framework for gauged baryon number models to achieve asymptotic safety considering gravitational effects, and studies the resulting fixed points and parameter restrictions.

Findings

Identification of ultraviolet fixed points in the model

Restrictions on parameter space at TeV scale from fixed point requirements

Discussion of phenomenological implications of symmetry breaking at TeV scale

Abstract

We consider a model with gauged baryon number that may be rendered asymptotically safe when gravitational effects above the Planck scale are taken into account. We study the ultraviolet fixed points in this theory and determine the restrictions on the parameter space of the model at the TeV scale following from the requirement that the asymptotic fixed points are reached. Assuming that the new gauge symmetry is broken at the TeV scale, we comment on the phenomenological implications of these restrictions.