Quadratic, Higgs and hilltop potentials in the Palatini gravity
Abstract
In this work, we study inflation with the non-minimally coupled quadratic, Standard Model (SM) Higgs and hilltop potentials through φ2R term in the Palatini gravity. We first analyze observational parameters of Palatini quadratic potential as functions of for high-N scenario and low-N scenario. In addition to this, taking into account inflaton φ has a non-zero vacuum expectation value v afterwards inflation, we display observational parameters of well-known symmetry-breaking potentials type of Higgs potential and its generalizations which are hilltop potentials in the Palatini formalism for high-N scenario and low-N scenario. We calculate inflationary parameters of Palatini Higgs potential as functions of v for different values where inflaton values both φ>v and φ<v during inflation as well as we show that observational parameters of Palatini Higgs potential in the induced gravity limit for high-N scenario. On the other hand, we illustrate different from the Higgs potential the effect of on hilltop potentials which can agree with the observations for inflaton value solely φ<v and , v1 for both two scenarios, which we mentioned above. For each considered potentials, we also display ns-r values fit the current data given by the Keck Array/BICEP2 and Planck collaborations.