Bayesian analysis for a class of ?-attractor inflationary models

We perform a Bayesian study of a generalization of the basic alpha-attractor T model given by the potential V (phi) = V0 1 - sechp phi/root 6 alpha Mpl where phi is the inflaton field and the parameter alpha corresponds to the inverse curvature of the scalar manifold in the conformal or superconformal realizations of the attractor models. Such generalization is characterized by the power p which includes the basic or base model for p = 2. Once the priors for the parameters of the alpha-attractor potential are set by numerical exploration, we perform the corresponding statistical analysis for the cases p = 1, 2, 3, 4, and derive posteriors. Consid-ering the original alpha-attractor potential as the base model, we calculate the evidence for our generalization, and conclude that the p = 4 model is preferred by the CMB data. We also present constraints for the parameter alpha. Interestingly, all the cases studied prefer a specific value for the tensor-to-scalar ratio given by r ' 0.0025.