Observational constraints on a hyperbolic potential in brane-world inflation

Resumo

We focus on the large field of a hyperbolic potential form, which is characterized by a parameter f, in the framework of the brane-world inflation in Randall-Sundrum-II model. From the observed form of the power spectrum P_R(k), the parameter f should be of order 0.1m_p to 0.001m_p, the brane tension must be in the range λ ~ (1−10)×10⁵⁷ GeV⁴, and the energy scale is around V₀^1/4 ~ 10¹⁵ GeV. We find that the inflationary parameters (n_s, r, and dn_s/d(ln k) depend only on the number of e-folds N. The compatibility of these parameters with the last Planck measurements is realized with large values of N.