Abstract
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 ns are within the 2018 Planck 95% CL. The behavior of the self coupling λ with respect to the scalar field at the horizon crossing was obtained, and it was found that it can take values in the interval λ∼(10−7,0.3).
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