Higgs inflation with non-minimal derivative coupling to gravity

We consider an extension of Higgs inflation in which the Higgs field is non-minimally coupled to gravity through its kinetic term. We analyzed power-law coupling functions with positive or negative integer power and found that the Higgs boson can drive a successful inflation only for the cases n = 2, 1, 0, -1. Theoretical predictions for both tensor to scalar ratio r and scalar spectral index n(s) are within the 2018 Planck 95% CL. The behavior of the self coupling lambda with respect to the scalar field at the horizon crossing was obtained, and it was found that it can take values in the interval lambda similar to (10(-7), 0.3). (C) 2020 Elsevier B.V. All rights reserved.