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arxiv: 1612.03069 · v2 · pith:73AP6FPNnew · submitted 2016-12-09 · ✦ hep-th · gr-qc· hep-ph

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

classification ✦ hep-th gr-qchep-ph
keywords regimegaugegravityhierarchymechanismproblemresurgenceultraviolet
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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.

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