Recently there was an extensive discussion of Higgs inflation in the theory with the potential { \lambda \over 4 } ( \phi ^ { 2 } - v ^ { 2 } ) ^ { 2 } and nonminimal coupling to gravity { \xi \over 2 } \phi ^ { 2 } R , for \xi \gg 1 and v \ll 1 .
We extend this investigation to the theories { m ^ { 2 } \over 2 } \phi ^ { 2 } and { \lambda \over 4 } ( \phi ^ { 2 } - v ^ { 2 } ) ^ { 2 } with arbitrary values of \xi 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 { \lambda \over 4 } ( \phi ^ { 2 } - v ^ { 2 } ) ^ { 2 } with \xi < 0 in the limit | \xi|v ^ { 2 } \to 1 with the predictions of the Higgs inflation scenario for \xi \gg 1 .