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We investigate inflation driven by the Higgs boson in the Palatiniformulation of General Relativity. Our analysis primarily focuses on a smallnon-minimal coupling of the Higgs field to gravity in the range $0<\xi\lesssim1$. We incorporate the renormalization group running of the relevant parametersas computed within the Standard Model and allow for small corrections. Inaddition to $\xi$, our model features two tunable parameters: the low-energyvalue of the top Yukawa coupling and an effective jump of the Higgsself-interaction. Our results indicate that critical points leading to a largeenhancement of the power spectrum can be produced. However, the observedamplitude of perturbations in the CMB cannot be matched within this setting. Onthe one hand, this makes it difficult to generate a sizable abundance ofprimordial black holes. On the other hand, our finding can be viewed as furtherevidence that Palatini Higgs inflation has favourable high-energy propertiesdue to robustness against quantum corrections.

Critical Points in Palatini Higgs Inflation with Small Non-Minimal Coupling