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The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
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We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate high-energy regime with electroweak symmetry breaking to strongly correlated QCD in the infrared. All flows are computed with a self-consistent functional renormalisation group approach, using a vertex expansion in the fluctuation fields. In particular, this approach takes care of all physical threshold effects and the respective decoupling of ultraviolet degrees of freedom. Standard Model and gravity couplings and masses are fixed by their experimental low energy values. Importantly, we accommodate for the difference between the top pole mass and its Euclidean analogue. Both, the correct mass determination and the threshold effects have a significant impact on the qualitative properties, and in particular on the stability properties of the specific ultraviolet-infrared trajectory with experimental Standard Model physics in the infrared. We show that in the present rather advanced approximation the matter part of the asymptotically safe Standard Model has the same number of relevant parameters as the Standard Model, and is asymptotically free. This result is based on the novel UV fixed point found in the present work: the fixed point Higgs potential is flat but has two relevant directions. These results and their analysis are accompanied by a thorough discussion of the systematic error of the present truncation, also important for systematic improvements.
Forward citations
Cited by 12 Pith papers
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The fermion sector of the SMEFT from asymptotically safe gravity
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.
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Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality
A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.
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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity
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.
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Impact of quantum gravity on the UV sensitivity of extremal black holes
Asymptotically safe quantum gravity predicts a positive Goroff-Sagnotti Wilson coefficient at the Planck scale, which would keep extremal Kerr black hole tidal forces finite, but the paper's bound on the quantum gravi...
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Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity
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.
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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.
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Matter Spectral Functions from Quantum Gravity
Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.
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Asymptotic safety meets tensor field theory: towards a new class of gravity-matter systems
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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$e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model
Using reconstructed timelike graviton spectral functions, the authors find that the e+e- to mu+mu- cross-section in the asymptotically safe Standard Model falls as 1/s in the ultraviolet and is compatible with unitarity.
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Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory
Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.
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Fermi scale from quantum gravity scaling solution
The Fermi/Planck ratio is claimed to be predictable from the analyticity of the quantum-gravity scaling solution for the cosmon-Higgs coupling, with numerics showing the coupling flows to a tiny, near-critical value.
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Charting GLOBs in Asymptotically Safe Gravity
Within the Einstein-Weyl truncation, asymptotically safe gravity predicts a Weyl coefficient m_2 = 1.4 m_Pl, which constrains the phase diagram of compact objects: attractive naked singularities are disfavored while w...
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