Mutated hybrid inflation on brane and reheating temperature

M. Ferricha-Alami; Z. Sakhi; H. Chakir; M. Bennai

doi:10.1140/epjp/i2017-11575-8

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2024 Impact factor 2.9

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2017) 132: 303
https://doi.org/10.1140/epjp/i2017-11575-8

Regular Article

Mutated hybrid inflation on brane and reheating temperature

M. Ferricha-Alami¹^,2^,3^*, Z. Sakhi¹^,3, H. Chakir²^,3 and M. Bennai¹^,3

¹ Equipe Physique Quantique et Applications, Laboratoire de Physique de la Matière Condensée, Faculté des Sciences Ben M’sik, Université Hassan II, Casablanca, Morocco
² Equipe de Recherche Subatomique et Applications, Laboratoire de Physique de la Matière Condensée, Faculté des Sciences Ben M’sik, Université Hassan II, Casablanca, Morocco
³ Centre of Physics and Mathematics, CPM, Rabat, Morocco

^* e-mail: ferrichaalami@yahoo.fr

Received: 9 September 2016
Accepted: 26 May 2017
Published online: 11 July 2017

Abstract

In the mutated hybrid-inflation standard case, the spectral index $n_{\rm s}$ is constrained by the e-folds number N, and the gravitational waves are negligible $(r\sim 10^{-4})$ . 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 ( $n_{\rm s}$ , r, and $\frac{{\rm d} n_{\rm s}}{{\rm d} \ln k}$ depend on all parameters. On the other hand, from the observed central value of the power spectrum perturbation $P_{\rm R}(k)$ , we have determined the energy scale which must be $V_{0}^{1/4} \succsim 10^{14}$ GeV and we evaluate the brane tension value $\lambda$ . We showed that the spectral index takes the central value $n_{\rm s}\sim 0.96$ and the gravitational waves becomes important $r\sim 2\times 10^{-2}$ . Furthermore the running $\frac{{\rm d} n_{\rm s}}{{\rm d} \ln k}$ is perfectly in agreement with the recent observations. For the reheating phase, we have determined the value of reheating temperature $T_{\rm re}\sim 10^{9}$ GeV.