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We investigate the sensitivity of Higgs(-like) inflation to higherdimensional operators in the nonminimal couplings and in the potential, both inthe metric and Palatini formalisms. We find that, while inflationarypredictions are relatively stable against the higher dimensional operatorsaround the attractor point in the metric formalism, they are extremelysensitive in the Palatini one: for the latter, inflationary predictions arespoiled by $|\xi_4| \gtrsim 10^{-6}$ in the nonminimal couplings $(\xi_2 \phi^2+ \xi_4 \phi^4 + \cdots)R$, or by $|\lambda_6| \gtrsim 10^{-16}$ in theJordan-frame potential $\lambda_4 \phi^4 + \lambda_6 \phi^6 + \cdots$ (both inPlanck units). This extreme sensitivity results from the absence of attractorin the Palatini formalism. Our study underscores the challenge of realizinginflationary models with the nonminimal coupling in the Palatini formalism.

Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators