Influence of the Schwinger effect on radiatively corrected Higgs inflationary magnetogenesis

Influence of tachyonic instability on the Schwinger effect in Higgs inflation model

“…We only consider two expressions for strong field regime. It has been shown in [1,2,74,78] that the Schwinger effect in weak field regime is quite negligible and irrelevant to our calculations. Thus, for numerical calculations we only need following expressions…”

“…We use the potential of the Higgs inflation model that was introduced in [1,2,53,75]. For more details see our previous works in [1,2,53,75]. This potential is valid for all stage of inflation…”

“…For more details about obtaining the above equation and decomposition function in Fourier space and orthogonality relations, see our previous works in [1,2,53,75]. Both without (blue) the Schwinger effect and with (red) the Schwinger effect.…”

“…In numerical calculations we use n s = 0.960 691 for spectral index and for tensor to scalar ratio r = 0.001 902 86 and A I = −3 ,number of e-folds N * = 60 and finally ϕ 0 = 5.205 68M p , ϕ e = 0.933 47M p . See [1,53,75]. We label prefactor of potential (1)…”

“…We have recently shown that in Higgs inflation model, the Schwinger effect with conformal coupling or non-coupling function to gravity is quite negligible whereas at the same model with the simplest coupling function is considerable and even in latter work shows the so-called the Schwinger reheating scenario-framework. See [1,2]. In both works we identified k H = aH as the standard horizon scale for boundary terms.…”