Non-minimal inflation revisited

We reconsider an inflationary model that inflaton field is non-minimally coupled to gravity. We study the parameter space of the model up to the second (and in some cases third) order of the slow-roll parameters. We calculate inflation parameters in both Jordan and Einstein frames, and the results are compared in these two frames and also with observations. Using the recent observational data from combined WMAP5 + SDSS + SNIa datasets, we study constraints imposed on our model parameters, especially the non-minimal coupling xi.