Mutated hybrid inflation on brane and reheating temperature

Abstract

In the mutated hybrid-inflation standard case, the spectral index ns is constrained by the e-folds number N, and the gravitational waves are negligible (r∼10-4). Therefore, we propose to study this model in the framework of the Randall-Sundrum II braneworld scenario. Using the latest observational measurements from Planck data, we have shown that the inflation observables ( ns, r, and dnsdlnk depend on all parameters. On the other hand, from the observed central value of the power spectrum perturbation PR(k), we have determined the energy scale which must be V01/4≿1014 GeV and we evaluate the brane tension value λ. We showed that the spectral index takes the central value ns∼0.96 and the gravitational waves becomes important r∼2×10-2. Furthermore the running dnsdlnk is perfectly in agreement with the recent observations. For the reheating phase, we have determined the value of reheating temperature T re ∼109 GeV.