Axion inflationary magnetogenesis and baryogenesis
Pseudoscalar inflation or axion inflation is one of the most well-motivated models of inflation because the approximate shift symmetry guarantees the flatness of the potential against the quantum corrections. The CP and shift symmetric properties of pseudoscalar inflaton allows it to have a coupling to the Chern-Pontryagin density of the gauge fields. In this talk, I will argue that if the inflaton has such a coupling to the hyper U(1) gauge fields in the Standard Model, it can give a significant impact on the baryon asymmetry of the Universe. Namely, through the chiral anomaly, baryon asymmetry is directly produced at the end of inflation together with the helical magnetic fields. Although this asymmetry suffers from the sphaleron washout, I will show that it is likely that the present baryon asymmetry can be explained together with the contribution from the hypermagnetic helicity decay. I will explain some details of relevant phenomena in the scenario. I will also show a variant of this scenario in the gauged B-L theory.