Viability of quantum-gravity induced ultraviolet completions for matter

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Abstract
We highlight how the existence of an ultraviolet completion for interacting standard-model type matter puts constraints on the viable microscopic dynamics of asymptotically safe quantum gravity within truncated Renormalization Group flows. A first constraint—the weak-gravity bound—is rooted in the destruction of quantum scale-invariance in the matter system by strong quantum-gravity fluctuations. A second constraint arises by linking Planck-scale dynamics to the dynamics at the electroweak scale. Specifically, we delineate how to extract a prediction of the top quark mass from asymptotically safe gravity and stress that a finite top mass could be difficult to accommodate in a significant part of the gravitational coupling space.
Funding Information
  • Deutsche Forschungsgemeinschaft (EI-1037-1)
  • Government of Canada
  • Ontario Ministry of Economic Development and Innovation
  • Studienstiftung des Deutschen Volkes

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