Influence of the Schwinger effect on radiatively corrected Higss inflationary magnetogenesis

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 of our previous work in (Kamarpour, M.: Magnetogenesis in Higgs inflation model. General Relat. Gravit. (2021). https://doi.org/10.1007/s10714-021-02824-0) . 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 x 10(9) and chi(1) = 7.5 x 10(9), the back-reaction is weak and our analysis is valid. When we switch on the Schwinger effect,there is no difference in background inflaton field. Therefore, for range of parameters considered and analyzed in this model, the Schwinger effect in Radiatively corrected Higgs model is quite negligible and play no roles in magnetogenesis.