We consider Supersymmetric (SUSY) and non-SUSY models of chaotic inflation
based on the phi^n potential with n=2 or 4. We show that the coexistence of an
exponential nonminimal coupling to gravity, fR=Exp(cR phi^p), with a kinetic
mixing of the form fK=cK fR^m can accommodate inflationary observables favored
by the Planck and Bicep2/Keck Array results for p=1 and 2, 1<=m<=15 and
2.6x10^(-3)<=rRK=cR/cK^(p/2)<=1, where the upper limit is not imposed for p=1.
Inflation is of hilltop type and it can be attained for subplanckian inflaton
values with the corresponding effective theories retaining the perturbative
unitarity up to the Planck scale. The supergravity embedding of these models is
achieved employing two chiral gauge singlet supefields, a monomial
superpotential and several (semi)logarithmic or semipolynomial Kaehler
potentials.Comment: Minor revisions have been made; to appear in EPJ