Magnetic field generation in Higgs inflation model

TL;DR

This paper explores how magnetic fields can be generated during Higgs inflation by coupling the Higgs field to electromagnetic fields, resulting in observable magnetic fields today without back-reaction issues.

Contribution

It introduces a novel mechanism for magnetic field generation in Higgs inflation models using a dimension six operator, avoiding back-reaction problems common in other inflationary magnetogenesis models.

Findings

Magnetic fields of 10^{-6} Gauss can be produced during Higgs inflation.

The model achieves a coherence length of 100 kpc for the magnetic fields.

Back-reaction is suppressed by the large Higgs-curvature coupling.

Abstract

We study the generation of magnetic field in Higgs-inflation models where the Standard Model Higgs boson has a large coupling to the Ricci scalar. We couple the Higgs field to the Electromagnetic fields via a non- renormalizable dimension six operator suppressed by the Planck scale in the Jordan frame. We show that during Higgs inflation magnetic fields with present value $10^{-6}$ Gauss and comoving coherence length of $100 kpc$ can be generated in the Einstein frame. The problem of large back-reaction which is generic in the usual inflation models of magneto-genesis is avoided as the back-reaction is suppressed by the large Higgs-curvature coupling.