Ultraviolet behaviour of Higgs inflation models

Abstract

We study the ultraviolet behaviour of Higgs inflation models above the apparent unitarity violation scale arising from the large non minimal coupling to gravity, by computing on-shell 4-point scattering amplitudes in the presence of a large inflaton background, away from the electroweak vacuum. We find that all tree-level amplitudes are well behaved at high energies below the inflaton background that can thus take values up to the Planck scale. This result holds in both the metric and Palatini formulation, and is independent of the frame (Jordan or Einstein) as expected. The same result also holds if an $R^2$ term is added to the action.

arXiv comment21 pages, 0 figures

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• Axion Quality Problem and Non-Minimal Gravitational Coupling in the Palatini Formulation
• Gauge Field Theory Vacuum and Cosmological Inflation without Scalar Field
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Baryogenesis from Higgs Inflation
• Induced-Gravity Palatini-Like Higgs Inflation in Supergravity Confronts ACT DR6
• Higgs-Dilaton Inflation in Einstein-Cartan gravity
• Addendum to "Ultraviolet behaviour of Higgs inflation models"
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation
• Self-healing unitarity is an optical illusion