Higgs inflation in Einstein-Cartan gravity

Abstract

We study inflation driven by the Higgs field in the Einstein-Cartan formulation of gravity. In this theory, the presence of the Holst and Nieh-Yan terms with the Higgs field non-minimally coupled to them leads to three additional coupling constants. For a broad range of parameters, we find that inflation is both possible and consistent with observations. In most cases, the spectral index is given by $n_s=1-2/N_{\star }$ (with $N_{\star }$ the number of e-foldings) whereas the tensor-to-scalar ratio $r$ can vary between about $10^{-10}$ and $1$. Thus, there are scenarios of Higgs inflation in the Einstein-Cartan framework for which the detection of gravitational waves from inflation is possible in the near future. In certain limits, the known models of Higgs inflation in the metric and Palatini formulations of gravity are reproduced. Finally, we discuss the robustness of inflationary dynamics against quantum corrections due to the scalar and fermion fields.

arXiv comment26 pages, 8 figures, 1 appendix; v2: updated figures and references, added short comparison with arXiv:2007.12595, minor corrections to formulas in sections 6.2 and 6.3, other small improvements; matches published version (including erratum)

References in corpus (35)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2018 results. X. Constraints on inflation
• The Standard Model Higgs boson as the inflaton
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Physical Aspects of the Space-Time Torsion
• Higgs inflation: consistency and generalisations
• Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action
• On the Naturalness of Higgs Inflation
• Power-counting and the Validity of the Classical Approximation During Inflation
• Real and complex connections for canonical gravity
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Quantum Gravity and Regge Calculus
• 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
• Quantum Gravity, Torsion, Parity Violation and all that
• Higgs inflation
• Higgs-Palatini Inflation and Unitarity
• Why should we care about the top quark Yukawa coupling?
• Higgs-Dilaton Cosmology: an effective field theory approach
• Preheating in Palatini Higgs inflation
• Cosmology with a spin
• Measurement of $\mathrm{t}\bar{\mathrm{t}}$ normalised multi-differential cross sections in pp collisions at $\sqrt{s}=13$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions
• Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
• On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection
• Higgs inflation with the Holst and the Nieh-Yan term
• Immirzi parameter and fermions with non-minimal coupling
• Low-energy general relativity with torsion: a systematic derivative expansion
• Measurement of the top-quark mass in $t\bar{t}+1$-jet events collected with the ATLAS detector in $pp$ collisions at $\sqrt{s}=8$ TeV
• Affine Inflation
• Standard Model Meets Gravity: Electroweak Symmetry Breaking and Inflation
• Einstein-Cartan Portal to Dark Matter
• Conformal symmetry: towards the link between the Fermi and the Planck scales
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Dilaton-assisted generation of the Fermi scale from the Planck scale

Cited by in corpus (34)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Palatini-Higgs inflation with non-minimal derivative coupling
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
• Higgs-Modular Inflation
• Palatini $R^2$ Quintessential Inflation
• Tachyonic Preheating in Palatini $R^2$ Inflation
• Einstein-Cartan Portal to Dark Matter
• Matter matters in Einstein-Cartan gravity
• Independent connection in ACTion during inflation
• Einstein-Cartan gravity, matter, and scale-invariant generalization
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Field redefinitions, perturbative unitarity and Higgs inflation
• Coupling Metric-Affine Gravity to the Standard Model and Dark Matter Fermions
• Electroweak vacuum decay in metric-affine gravity
• Cosmological Perturbation Theory in Metric-Affine Gravity
• Inflation in Weyl-invariant Einstein-Cartan gravity
• Extended interactions in the Palatini-$R^2$ inflation
• Einstein-Proca theory from the Einstein-Cartan formulation
• Massless Preheating and Electroweak Vacuum Metastability
• Effect of Torsion on Neutron Star Structure in Einstein-Cartan Gravity
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Cartan $F(R)$ Gravity and Equivalent Scalar-Tensor Theory
• Isocurvature modes and non-Gaussianity in affine inflation
• Friedmann cosmology with hyperfluids
• Barbero-Immirzi Value from Experiment
• Toward a gravitational network: Bridging metric-affine gravity and no-scale supergravity
• Evolution of the early universe in Einstein-Cartan theory
• Dynamically induced spin-2 mass in a Weyl-invariant framework
• Reheating in geometric Weyl-invariant Einstein-Cartan gravity
• Minimalistic musings about the Standard Model
• Twisting inflation to sub-Planckian axion decay constants
• The Higgs boson, naturalness, and the Universe