A fixed-point cascade in the asymptotically safe Standard Model predicts the near-diagonal CKM structure with two different precisions and preserves large PMNS mixing by dynamically suppressing neutrino Yukawa couplings.
Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems
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abstract
Combining asymptotically safe quantum gravity with a tensor field theory, we exhibit the first example of a theory with gravity and scalar fields in four dimensions which may realize asymptotic safety at a non-vanishing value of the scalar quartic coupling. We first present (further) evidence that in the asymptotic-safety paradigm, quantum fluctuations of gravity generically screen the quartic couplings in (multi-)scalar models. For a tensor field theory in which the scalar field transforms under an internal $O(N)^3$ symmetry, this has the effect of replacing asymptotic freedom, recently discovered at large $N$ on a fixed flat background, by an interacting fixed point in the presence of quantum gravity. The fixed point originates from the competition between the effects of the matter self-interactions which, contrary to the usual scalar models, are antiscreening, and the screening gravitational effects.
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Quark and lepton mixing in the asymptotically safe Standard Model
A fixed-point cascade in the asymptotically safe Standard Model predicts the near-diagonal CKM structure with two different precisions and preserves large PMNS mixing by dynamically suppressing neutrino Yukawa couplings.