Higgs-Dilaton Inflation in Einstein-Cartan gravity

Abstract

We study the phenomenology of the Higgs-Dilaton model in the context of Einstein-Cartan gravity, focusing on the separate impact of the Holst and Nieh-Yan terms on the inflationary observables. Using analytical and numerical techniques, we show the predictions of these scenarios to display an attractor-like behaviour intrinsically related to the curvature of the field-space manifold in the metric formulation of the theory. Beyond that, the analysis of the Nieh-Yan case reveals the existence of an additional attractor solution induced by a cubic pole in the inflaton kinetic term that becomes relevant at large dilaton couplings. This constitutes a unique feature of the Einstein-Cartan formulation as compared to the metric and Palatini counterparts.

arXiv comment25 pages, 9 figures v2: this version matches the on in JCAP

References in corpus (84)

• emcee: The MCMC Hammer
• Cosmology and the Fate of Dilatation Symmetry
• Planck 2018 results. X. Constraints on inflation
• The Standard Model Higgs boson as the inflaton
• Causality, Analyticity and an IR Obstruction to UV Completion
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• The $\nu$MSM, Dark Matter and Neutrino Masses
• On the Naturalness of Higgs Inflation
• The Unity of Cosmological Attractors
• Power-counting and the Validity of the Classical Approximation During Inflation
• Real and complex connections for canonical gravity
• On initial conditions for the Hot Big Bang
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• Comment on Higgs Inflation and Naturalness
• On Inflation with Non-minimal Coupling
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Primordial Black Hole production in Critical Higgs Inflation
• Quantum Gravity and Regge Calculus
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Higgs inflation at the critical point
• Higgs inflation still alive
• Living beyond the edge: Higgs inflation and vacuum metastability
• Quantum Gravity, Torsion, Parity Violation and all that
• Higgs inflation
• Transverse Fierz-Pauli symmetry
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Higgs-Palatini Inflation and Unitarity
• Beyond Amplitudes' Positivity and the Fate of Massive Gravity
• Higgs Scalaron Mixed Inflation
• Higgs inflation with loop corrections in the Palatini formulation
• Naturally Speaking: The Naturalness Criterion and Physics at the LHC
• Why should we care about the top quark Yukawa coupling?
• Violent Preheating in Inflation with Nonminimal Coupling
• Higgs-Dilaton Cosmology: an effective field theory approach
• Preheating in Palatini Higgs inflation
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• Emergent scale symmetry: Connecting inflation and dark energy
• Scale-invariant alternatives to general relativity
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• 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
• Multifield Dynamics of Higgs Inflation
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
• Combined Preheating on the lattice with applications to Higgs inflation
• Higgs inflation with the Holst and the Nieh-Yan term
• Hidden Inflaton Dark Matter
• Quantum Effects in Palatini Higgs Inflation
• On the geometrical interpretation of scale-invariant models of inflation
• No fifth force in a scale invariant universe
• Inflation in a scale invariant universe
• Immirzi parameter and fermions with non-minimal coupling
• Spontaneously Broken Conformal Symmetry: Dealing with the Trace Anomaly
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Higgs-Dilaton cosmology: Universality vs. criticality
• Low-energy general relativity with torsion: a systematic derivative expansion
• General Poincaré gauge theory: Hamiltonian structure and particle spectrum
• 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
• Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
• Affine Inflation
• Quantum Einstein-Cartan theory with the Holst term
• Ghost and tachyon free Poincaré gauge theories: a systematic approach
• R^2-inflation with conformal SM Higgs field
• Scale independent $R^2$ inflation
• Dynamical Emergence of Scalaron in Higgs Inflation
• Shift-Symmetric Orbital Inflation: single field or multi-field?
• Higgs Inflation as Nonlinear Sigma Model and Scalaron as its $\sigma$-meson
• Fifth forces, Higgs portals and broken scale invariance
• Matter matters in Einstein-Cartan gravity
• Higgs inflation and teleparallel gravity
• To Positivity and Beyond, where Higgs-Dilaton Inflation has never gone before
• Gravity, Scale Invariance and the Hierarchy Problem
• Cosmological Constraints on Higgs-Dilaton Inflation
• Conformal symmetry: towards the link between the Fermi and the Planck scales
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• Higgs inflation and vacuum stability
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Ultraviolet behaviour of Higgs inflation models
• Gravitating magnetic monopole via the spontaneous symmetry breaking of pure $R^2$ gravity
• Dilaton-assisted generation of the Fermi scale from the Planck scale
• Endlessly flat scalar potentials and $\alpha$-attractors

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