Hypermagnetic Fields and Baryon Asymmetry from Pseudoscalar Inflation

TL;DR

This paper demonstrates how hypermagnetic fields generated during pseudoscalar inflation can account for the universe's baryon asymmetry, linking magnetic helicity to baryogenesis and suggesting future observational tests.

Contribution

It shows that hypermagnetic fields from pseudoscalar inflation can produce the observed baryon asymmetry, constraining natural inflation models and connecting magnetic topology to baryogenesis.

Findings

Hypermagnetic fields can generate baryon asymmetry via the B+L anomaly.

Most natural inflation models lead to baryon overproduction.

Magnetic helicity's magnitude and sign could be detected in future gamma ray data.

Abstract

We show that maximally helical hypermagnetic fields produced during pseudoscalar inflation can generate the observed baryon asymmetry of the universe via the B+L anomaly in the Standard Model. We find that most of the parameter space of pseudoscalar inflation that explains the cosmological data leads to baryon overproduction, hence the models of natural inflation are severely constrained. We also point out a connection between the baryon number and topology of the relic magnetic fields. Both the magnitude and sign of magnetic helicity can be detected in future diffuse gamma ray data. This will be a smoking gun evidence for a link between inflation and the baryon asymmetry of the Universe.