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arXiv · 2111.05621

Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation

Asuka Ito·Wafaa Khater·Syksy Rasanen
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Abstract

We calculate the tree-level amplitudes for electrically neutral $2\to2$ scattering for the Standard Model Higgs doublet non-minimally coupled to the Ricci scalar. We consider both the metric and the Palatini formulation of gravity. We find the partial wave unitarity limit for a general background field value. Our results are in agreement with previous work. In the electroweak vacuum, tree-level unitarity is violated at $\sim M_\text{Planck}/\xi$ in the metric formulation, and at $\sim M_\text{Planck}/\sqrt{\xi}$ in the Palatini formulation. In the inflationary large field background, the unitarity limit is at $\sim M_\text{Planck}/\sqrt{\xi}$ in both formulations. We compare the unitarity violation energy to scales relevant during inflation. We also calculate a direct collider limit on $\xi$ in the Palatini formulation, $\xi<2.5\times10^{31}$.

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Asuka Ito, Wafaa Khater, Syksy Rasanen. 2021-11-10. Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation. https://doi.org/10.1007/jhep06(2022)164

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