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

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arxiv 2111.05621 v3 pith:EHY24RYH submitted 2021-11-10 astro-ph.CO gr-qchep-phhep-th

Asuka Ito , Wafaa Khater , Syksy Rasanen This is my paper
classification astro-ph.COgr-qchep-phhep-th
keywords formulationunitaritypalatinilimitmetricplancktexttree-level
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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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Cited by 3 Pith papers

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  1. Torsion induced current-scalaron coupling in Einstein-Cartan gravity

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In Einstein-Cartan gravity, torsion-current couplings induce scalaron-current and scalaron Chern-Simons interactions, with explicit decay constants and a classification of their asymptotic behavior.

  2. Kinetically Modified Palatini Inflation Meets ACT Data

    hep-ph 2025-05 conditional novelty 6.0 of 10

    Palatini chaotic inflation with kinetic mixing f_K = f_R^m can shift the predicted spectral index up to the ACT DR6 value n_s = 0.974 while keeping r below current bounds.

  3. Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6

    hep-ph 2026-02 unverdicted novelty 5.0 of 10

    A Palatini-supergravity Higgs-inflation model with induced gravity predicts a scalar spectral index ns≈0.972-0.974, consistent with ACT DR6, and favors split supersymmetry with gravitino mass 40-60 PeV.

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