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High Energy Physics - Phenomenology

arXiv:1602.03290 (hep-ph)
This paper has been withdrawn by Franco D. Albareti
[Submitted on 10 Feb 2016 (v1), last revised 18 Nov 2016 (this version, v2)]

Title:Gravitational effects on the Higgs field within the Solar System

Authors:Franco D. Albareti, Antonio L. Maroto, Francisco Prada
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Abstract:The Higgs mechanism predicts, apart from the existence of a new scalar boson, the presence of a constant Higgs field that permeates all of space. The vacuum expectation value (VEV) of this field is affected by quantum corrections which are mainly generated by the self-interactions and couplings of the Higgs field to gauge bosons and heavy quarks. In this work we show that gravity can affect, in a non-trivial way, these quantum corrections through the finite parts of the one-loop contributions to the effective potential. In particular, we consider the corrections generated by the Standard Model Higgs self-interactions in slowly-varying weak gravitational backgrounds. The obtained results amount to the existence of non-negligible inhomogeneities in the Higgs VEV. Such inhomogeneities translate into spatial variations of the particle masses, and in particular of the proton-to-electron mass ratio. We find that these Higgs perturbations in our Solar System are controlled by the Eddington parameter, and are absent in pure General Relativity. Yet, they may be present in modified gravity theories. This predicted effect may be constrained by atomic clocks or high-resolution spectroscopic measurements, which could allow to improve current limits on modifications of Einstein's gravity.
Comments: This paper has been withdrawn by the authors due to an error detected in the inhomogeneous contribution to the effective potential
Subjects: High Energy Physics - Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:1602.03290 [hep-ph]
  (or arXiv:1602.03290v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1602.03290

Submission history

From: Franco D. Albareti [view email]
[v1] Wed, 10 Feb 2016 07:47:52 UTC (12 KB)
[v2] Fri, 18 Nov 2016 14:30:40 UTC (1 KB) (withdrawn)
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