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http://hdl.handle.net/20.500.11889/7868
Title: | Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation | Authors: | Ito, Asuka Khater, Wafaa Rasanen, Syksy |
Keywords: | Astro-ph.CO;Polarization (Nuclear physics);Quantum cosmology;Particles (Nuclear physics);High energy physics;General relativity (Physics);Phenomenology;Cosmology of Theories BSM;Early Universe Particle Physics | Issue Date: | 10-Jun-2022 | 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, $\xi<2.5\times10^{31}$. | Description: | 15+8 pages, 3 figures. v2: Corrected calculation, significant change in the metric case results. Added references, removed one reference. v3: Corrected typos. Published version | URI: | http://hdl.handle.net/20.500.11889/7868 | DOI: | http://arxiv.org/abs/2111.05621v3 10.1007/JHEP06(2022)164 http://arxiv.org/abs/2111.05621v3 |
Appears in Collections: | Fulltext Publications |
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JHEP06(2022)164.pdf | 1.03 MB | Adobe PDF | View/Open |
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