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Weyl-invariant Einstein-Cartan gravity: unifying the strong CP and hierarchy puzzles

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arxiv 2406.11956 v1 pith:SR7ANAXS submitted 2024-06-17 hep-th gr-qchep-ph

Weyl-invariant Einstein-Cartan gravity: unifying the strong CP and hierarchy puzzles

classification hep-th gr-qchep-ph
keywords massmodelparticlestandardeinstein-cartangravitysolvestrong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the minimal Weyl-invariant Einstein-Cartan gravity in combination with the Standard Model of particle physics contains just one extra scalar degree of freedom (in addition to the graviton and the Standard Model fields) with the properties of an axion-like particle which can solve the strong CP-problem. The smallness of this particle's mass as well as of the cosmological constant is ensured by tiny values of the gauge coupling constants of the local Lorentz group. The tree value of the Higgs boson mass and that of Majorana leptons (if added to the Standard Model to solve the neutrino mass, baryogenesis and dark matter problems) are very small or vanishing, opening the possibility of their computability in terms of the fundamental parameters of the theory due to nonperturbative effects.

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Cited by 4 Pith papers

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

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    A naturally light scalar-like distortion field emerges in generalized gravity and mixes with the Higgs boson.

  2. Fermi scale from quantum gravity scaling solution

    hep-th 2026-01 conditional novelty 5.0

    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.

  3. QCD axion from broken scale symmetry

    hep-th 2026-05 unverdicted novelty 4.0

    Dilaton from broken scale symmetry meets all conditions for non-compact QCD axion cosmology including non-periodicity and timely domain-wall collapse.

  4. Cosmic Dynamics in Einstein-Cartan Theory: Analysing Hubble Tension through Curvature and Torsion field

    astro-ph.CO 2024-10 unverdicted novelty 4.0

    Einstein-Cartan model with torsion and H = -α φ assumption fitted via MCMC to CC data produces H0 values of 66-69 km/s/Mpc favoring the CMB side of the Hubble tension.