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Large Field Polynomial Inflation in R2 Gravity with non-minimal coupling: Palatini formalism
(Türkiye Enerji, Nükleer ve Maden Araştırma Kurumu (TENMAK), 2024-10-11) Bostan,Nilay; Karahan, Canan; Sargın, Ozan
In this paper, we employ the Palatini formalism to investigate the dynamics of large field inflation using a renormalizable polynomial inflaton potential in the context of quadratic gravity. Assuming instant reheating, we make a comparative analysis of Large Field Polynomial Inflation (LFPI). We first consider inflaton (i) minimally and (ii) nonminimally coupled to R gravity, and then we continue with inflaton (iii) minimally and (iv) non-minimally coupled to R + R2 gravity. We scan the parameter space for the inflationary predictions (ns and r) consistent with the Planck and BICEP/Keck 2018 results as well as the sensitivity forecast of the future CMB-S4 and depict the compliant regions in the ϕ0 −β plane where ϕ0 and β are two parameters of polynomial inflation model which control the saddle point of the potential and the flatness in that region respectively. Furthermore, for the polynomial potential, we display the behavior of the running of the spectral index αs ≡ dns/d ln k with respect to the spectral index ns itself for all the cases.