Field redefinitions, perturbative unitarity and Higgs inflation
arXiv:2203.09534 · doi:10.1007/JHEP06(2022)132
Abstract
For inflation driven by the Higgs field coupled non-minimally to gravity, we study the cutoff energy scale above which perturbation theory breaks down. Employing the metric formulation, we first give an overview of known results and then provide a new way to calculate a lower bound on the cutoff. Our approach neither relies on a gauge choice nor does it require any calculation of amplitudes. Instead, it exploits the fact that the S-matrix is invariant under field redefinitions. In agreement with previous findings, we demonstrate that the cutoff is significantly higher during inflation than in vacuum, which ensures the robustness of semi-classical predictions. Along the way, we generalize our findings to the Palatini formulation and comment on a useful parametrization of the Higgs doublet in both scenarios.
arXiv comment24 pages; v2: small improvements and updated references, matches published version
References in corpus (36)
- The Standard Model Higgs boson as the inflaton
- Higgs inflation: consistency and generalisations
- On the Naturalness of Higgs Inflation
- Standard Model Higgs boson mass from inflation: two loop analysis
- Running Inflation in the Standard Model
- Inflation scenario via the Standard Model Higgs boson and LHC
- Power-counting and the Validity of the Classical Approximation During Inflation
- Standard Model Higgs boson mass from inflation
- Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
- Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
- Scale invariance, unimodular gravity and dark energy
- Higgs-Dilaton Cosmology: From the Early to the Late Universe
- Living beyond the edge: Higgs inflation and vacuum metastability
- Unitarizing Higgs Inflation
- UV-Completion by Classicalization
- Higgs-Palatini Inflation and Unitarity
- Higgs boson, renormalization group, and naturalness in cosmology
- Higgs Scalaron Mixed Inflation
- A Geometric Formulation of Higgs Effective Field Theory: Measuring the Curvature of Scalar Field Space
- Higgs-Dilaton Cosmology: an effective field theory approach
- Self-healing of unitarity in effective field theories and the onset of new physics
- Higgs inflation with the Holst and the Nieh-Yan term
- Higgs inflation in the Palatini formulation with kinetic terms for the metric
- On the geometrical interpretation of scale-invariant models of inflation
- Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
- Classicalization of Gravitons and Goldstones
- Higgs inflation in Einstein-Cartan gravity
- Standard Model Meets Gravity: Electroweak Symmetry Breaking and Inflation
- Unitarity-violation in Generalized Higgs Inflation Models
- Scale-invariance as the origin of dark radiation?
- Higgs inflation and teleparallel gravity
- Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
- On UV-completion of Palatini-Higgs inflation
- Symmetry and geometry in generalized Higgs effective field theory -- Finiteness of oblique corrections v.s. perturbative unitarity
- Unitarity and predictiveness in new Higgs inflation
- Ultraviolet behaviour of Higgs inflation models