Randall–Sundrum II model from small field inflation in light of planck data and reheating temperature

Abstract

We focus on the behaviours of small field of an arctangent potential form, in Randall–Sundrum II braneworld. Within this framework, there is only one brane with positive tension while the second membrane is sent to infinity, and the configuration the model allows to localize the gravity on the curvature of the bulk. In that context, we found that inflationary observables (n_s, r, and dn_s/dlnk) depend only on the e-folding number N. From the power perturbation value P_R(k) given by the latest observational measurements, we evaluate the values of brane tension λ and the energy scale V₀, and we have shown that the various inflationary perturbation parameters are widely consistent with the recent Planck data for a suitable choice of value of the number N. Concerning the reheating phase, we found a large value of the temperature T_re ∼ 5 × 10¹⁴ GeV.