Mutated hybrid inflation on brane and reheating temperature

. In the mutated hybrid-inflation standard case, the spectral index n s 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 ( n s , r , and d n s d ln k depend on all parameters. On the other hand, from the observed central value of the power spectrum perturbation P R ( k ) , we have determined the energy scale which must be V 0 1 / 4 ≿ 10 14 GeV and we evaluate the brane tension value λ . We showed that the spectral index takes the central value n s ∼ 0 . 96 and the gravitational waves becomes important r ∼ 2 × 10 - 2 . Furthermore the running d n s d ln k is perfectly in agreement with the recent observations. For the reheating phase, we have determined the value of reheating temperature T re ∼ 10 9 GeV.