On UV-completion of Palatini-Higgs inflation

Abstract

We investigate the UV-completion of the Higgs inflation in the metric and the Palatini formalisms. It is known that the cutoff scales for the perturbative unitarity of these inflation models become much smaller than the Planck scale to be consistent with observations. Expecting that the low cutoff scale originates in the curvature of a field-space spanned by the Higgs fields, we consider embedding the curved field-space into a higher dimensional flat space and apply this procedure to the metric-Higgs and the Palatini-Higgs scenarios. The new field introduced in this way successfully flattens the field-space and UV-completes the Higgs inflation in the metric formalism. However, in the Palatini formalism, the new field cannot uplift the cutoff up to the Planck scale. We also discuss the unavoidable low cutoff in the Palatini formalism in the context of the local conformal symmetry.

22 pages; v2 matches the published version in JCAP

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Cited by in corpus (18)

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• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Field redefinitions, perturbative unitarity and Higgs inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• Nonminimally-coupled warm Higgs inflation: Metric vs. Palatini Formulations
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Observable Primordial Gravitational Waves from Non-minimally Coupled $R^2$ Palatini Modified Gravity
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Beyond (and back to) Palatini quadratic gravity and inflation
• General Einstein-Cartan quadratic gravity with derivative couplings
• $\tilde{\xi }$-attractors in metric-affine gravity
• Hybrid metric-Palatini Higgs inflation
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Natural inflation in Palatini $F(R,X)$
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity