Magnetogenesis in Higgs inflation

TL;DR

This paper investigates how magnetic fields can be generated during Higgs inflation by introducing axial coupling, considering quantum corrections, and analyzing the resulting electromagnetic spectrum.

Contribution

It introduces a radiatively corrected Higgs inflation model with axial coupling to produce magnetic fields, extending previous models with one-loop quantum corrections.

Findings

Back-reaction remains weak for specific coupling values

Spectrum of electromagnetic fields is derived with quantum corrections

Model remains self-consistent under certain parameters

Abstract

We study the generation of magnetic fields in the Higgs inflation model with the axial coupling in order to break the conformal invariance of the Maxwell action and produce strong magnetic fields. We consider radiatively corrected Higgs inflation potential. In comparison to the Starobinsky potential, we obtain an extra term as a one loop correction and determine the spectrum of generalized electromagnetic fields. For two values of coupling parameter $\chi_{1}=5\times 10^{9}$ and $\chi_{1}=7.5\times 10^{9}$, the back-reaction is weak and our analysis is self-consistent.