# Asymptotic safety of gravity, the Higgs boson mass and beyond the Standard Model physics

## TL;DR

This paper explores the asymptotic safety of gravity and its implications for the Standard Model, predicting the Higgs mass and examining beyond Standard Model scenarios like axion and $U(1)_{B-L}$ models, including a gravitational solution to the strong CP problem.

## Contribution

It provides new predictions for the Higgs mass within minimal BSM models considering gravitational effects and proposes a gravitational solution to the strong CP problem.

## Key findings

- Predicted Higgs mass around 130 GeV with gravitational corrections.
- The $U(1)_{B-L}$ model with a $Z'$ boson matches the Higgs mass prediction.
- Sterile quark models have minimal impact on the Higgs mass prediction.

## Abstract

There are many hints that gravity is asymptotically safe. The inclusion of gravitational corrections can result in the ultraviolet fundamental Standard Model and constrain the Higgs mass to take the smallest value such that electroweak vacuum is stable. Taking into account the current top quark mass measurements this value is $m_H \approx 130$ GeV.\\ This article considers the predictions of the Higgs mass in two minimal Beyond Standard Model scenarios, where the stability is improved. One is the sterile quark axion model, while the other is the $U(1)_{B-L}$ gauge symmetry model introducing a new massive $Z'$ gauge boson. The inclusion of $Z'$ boson gives the correct prediction for this mass, while inclusion of sterile quark(s) gives only a slight effect.\\ Also a new, gravitational solution to the strong CP problem is discussed.