Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism

TL;DR

This paper explores how asymptotically safe quantum gravity might resolve the gauge hierarchy problem through a resurgence mechanism involving running couplings and gravity-induced anomalous dimensions.

Contribution

It introduces a novel resurgence mechanism where the Higgs mass coupling behavior is explained by quantum gravity effects in the asymptotic safety scenario.

Findings

The Higgs mass coupling decreases then increases across energy scales.

Gravity induces a large anomalous dimension critical for the mechanism.

The model suggests a self-tuned criticality in the ultraviolet regime.

Abstract

The gauge hierarchy problem could find a solution within the scenario of asymptotic safety for quantum gravity. We discuss a "resurgence mechanism" where the running dimensionless coupling responsible for the Higgs scalar mass first decreases in the ultraviolet regime and subsequently increases in the infrared regime. A gravity induced large anomalous dimension plays a crucial role for the required "self-tuned criticality" in the ultraviolet regime beyond the Planck scale.