Gauge hierarchy problem in asymptotically safe gravity - The resurgence mechanism

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. (C) 2017 The Author(s). Published by Elsevier B.V.