In this work , we study inflation with the non-minimally coupled quadratic , Standard Model ( SM ) Higgs and hilltop potentials through \xi \phi ^ { 2 } R term in the Palatini gravity .
We first analyze observational parameters of Palatini quadratic potential as functions of \xi for high- N scenario and low- N scenario .
In addition to this , taking into account inflaton \phi 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 \xi values where inflaton values both \phi > v and \phi < 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 \xi on hilltop potentials which can agree with the observations for inflaton value solely \phi < v and \xi , v \ll 1 for both two scenarios , which we mentioned above .
For each considered potentials , we also display n _ { s } - r values fit the current data given by the Keck Array/BICEP2 and Planck collaborations .