Observational consequences of chaotic inflation with nonminimal coupling to gravity

Recently there was an extensive discussion of Higgs inflation in the theory with the potential λ/4 (ϕ 2 − v 2 ) 2 and nonminimal coupling to gravity ξ/2 ϕ 2 R , for ξ ≫ 1 and v ≪ 1. We extend this investigation to the theories m 2 /2 ϕ 2 and λ/4 (ϕ 2 − v 2 ) 2 with arbitrary values of ξ and v and describe implementation of these models in supergravity. We analyze observational consequences of these models and find a surprising coincidence of the inflationary predictions of the model λ/4 (ϕ 2 − v 2 ) 2 with ξ < 0 in the limit |ξ| v 2 → 1 with the predictions of the Higgs inflation scenario for ξ ≫ 1.