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Naturally small Yukawa couplings from trans-Planckian asymptotic safety

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arxiv 2204.00866 v2 pith:5VFXZOHM submitted 2022-04-02 hep-ph

classification hep-ph
keywords yukawacouplingsasymptoticfixedmechanismmodelnaturallyneutrinos
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In gauge-Yukawa systems embedded in the framework of trans-Planckian asymptotic safety we discuss the dynamical generation of arbitrarily small Yukawa couplings driven by the presence of a non-interactive infrared-attractive fixed point in the renormalization group flow. Additional ultraviolet-attractive fixed points guarantee that the theory remains well defined up to an infinitely high scale. We apply this mechanism to the Yukawa couplings of the Standard Model extended with right-handed neutrinos, finding that asymptotically safe solutions in agreement with the current experimental determination of the masses and mixing angles exist for Dirac neutrinos with normal mass ordering. We generalize the discussion by applying the same mechanism to a new-physics model with sterile-neutrino dark matter, where we generate naturally the feeble Yukawa interaction required to reproduce via freeze-in the correct relic abundance.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.

  2. Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.

  3. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  4. Quark and lepton mixing in the asymptotically safe Standard Model

    hep-ph 2025-07 conditional novelty 6.0 of 10

    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.

  5. Neutrino mass generation in asymptotically safe gravity

    hep-ph 2025-05 conditional novelty 6.0 of 10

    In asymptotically safe gravity, the Weinberg operator is shown to be irrelevant, so Standard Model neutrinos cannot get masses without new fields; type-I seesaw scales are bounded from above.

  6. Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems

    hep-th 2025-01 conditional novelty 6.0 of 10

    Adding asymptotically safe gravity to the O(N)^3 tensor field theory converts its asymptotic freedom into an interacting fixed point at a non-zero quartic coupling.

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