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Electroweak symmetry breaking by gravity

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arxiv 2305.17582 v3 pith:RDFPGQXT submitted 2023-05-27 hep-ph gr-qchep-th

classification hep-phgr-qchep-th
keywords higgsbosonbreakingcaseelectroweakmajoranamassscale-invariant
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider a simple scale-invariant action coupling the Higgs field to the metric scalar curvature $R$ and containing an $R^2$ term that exhibits spontaneous breaking of scale invariance and electroweak symmetry. The coefficient of the $R^2$ term in this case determines the self-coupling of the Higgs boson in the Einstein frame, and the scalaron becomes a dilaton weakly coupled to the Higgs boson. Majorana mass terms for right-handed neutrinos can be generated in a scale-invariant manner by using the Higgs-field invariant; in this case, the existing experimental limits on the Higgs-boson total width rule out Majorana mass values in a certain range. The model inherits the naturalness issues of general relativity connected with the smallness of the gravitational and cosmological constants.

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Forward citations

Cited by 2 Pith papers

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

  1. Spacetime and Planck mass generation from scale-invariant degenerate gravity

    hep-th 2024-11 reject novelty 5.0 of 10

    The paper computes a one-loop effective potential that can produce a Planck mass from a scalar vacuum, but the curvature that seeds it is assumed by hand and the vierbein scale factor runs away.

  2. Geometrical origin of inflation in Weyl-invariant Einstein-Cartan gravity

    gr-qc 2025-01 conditional novelty 4.0 of 10

    The scalar mode of Weyl-invariant Einstein-Cartan quadratic gravity yields the same inflationary potential as pseudoscalaron inflation and can fit CMB data for large parameter q.

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