Higgs inflation with loop corrections in the Palatini formulation

Understand

We compare Higgs inflation in the metric and Palatini formulations of general relativity, with loop corrections are treated in a simple approximation.

• We consider Higgs inflation on the plateau, at a critical point, at a hilltop and in a false vacuum.
• In the last case there are only minor differences.
• Otherwise we find that in the Palatini formulation the tensor-to-scalar ratio is consistently suppressed, spanning the range $1\times10^{-13}<r<7\times10^{-5}$, compared to the metric case result $2\times10^{-5}<r<0.2$.