Higgs inflation with loop corrections in the Palatini formulation

Abstract

We compare Higgs inflation in the metric and Palatini formulations of general relativity, with loop corrections are treated in a simple approximation. We consider Higgs inflation on the plateau, at a critical point, at a hilltop and in a false vacuum. In the last case there are only minor differences. Otherwise we find that in the Palatini formulation the tensor-to-scalar ratio is consistently suppressed, spanning the range $1\times 10^{-13}<r<7\times 10^{-5}$, compared to the metric case result $2\times 10^{-5}<r<0.2$. Even when the values of $n_s$ and $r$ overlap, the running and running of the running are different in the two formulations. Therefore, if Higgs is the inflaton, inflationary observables can be used to distinguish between different gravitational degrees of freedom, in this case to determine whether the connection is an independent variable. Non-detection of $r$ in foreseeable future observations would not rule out Higgs inflation, only its metric variant. We conclude that in order to fix the theory of Higgs inflation, not only the particle physics UV completion but also the gravitational degrees of freedom have to be explicated.

arXiv comment32 pages, 22 figures. v2: added references, clarified text, corrected typos. Published version

References in corpus (95)

• The Standard Model Higgs boson as the inflaton
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• The $\nu$MSM, Dark Matter and Baryon Asymmetry of the Universe
• The $\nu$MSM, Dark Matter and Neutrino Masses
• Formalising the Slow-Roll Approximation in Inflation
• BICEP2 / Keck Array VI: Improved Constraints On Cosmology and Foregrounds When Adding 95 GHz Data From Keck Array
• Higgs inflation: consistency and generalisations
• Higgs boson mass and new physics
• On the Naturalness of Higgs Inflation
• Standard Model Higgs boson mass from inflation: two loop analysis
• Hilltop Inflation
• 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
• Asymptotic safety of gravity and the Higgs boson mass
• On initial conditions for the Hot Big Bang
• Preheating in the Standard Model with the Higgs-Inflaton coupled to gravity
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• On Inflation with Non-minimal Coupling
• Gauge invariant MSSM inflaton
• Primordial Spectral Indices from Generalized Einstein Theories
• Cosmological implications of the Higgs mass measurement
• The cosmological Higgstory of the vacuum instability
• Higgs inflation at the critical point
• Higgs inflation still alive
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Living beyond the edge: Higgs inflation and vacuum metastability
• Question of quantum equivalence between Jordan frame and Einstein frame
• Higgs-Palatini Inflation and Unitarity
• The Higgs field as an inflaton
• Higgs boson, renormalization group, and naturalness in cosmology
• Equivalence of the Einstein and Jordan frames
• A joint analysis of Planck and BICEP2 B modes including dust polarization uncertainty
• Beginning inflation in an inhomogeneous universe
• Gravitational corrections to Standard Model vacuum decay
• Causality and Cosmic Inflation
• Violent Preheating in Inflation with Nonminimal Coupling
• Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Non-Gaussianity from Instant and Tachyonic Preheating
• On the robustness of the primordial power spectrum in renormalized Higgs inflation
• Multifield Dynamics of Higgs Inflation
• Extended Slow-Roll Conditions and Rapid-Roll Conditions
• Top Quark Mass Calibration for Monte Carlo Event Generators
• Self-healing of unitarity in Higgs inflation
• Holographic Gravity and the Surface term in the Einstein-Hilbert Action
• The Decay of the Standard Model Higgs after Inflation
• Combined Preheating on the lattice with applications to Higgs inflation
• A frame independent classification of single field inflationary models
• Bounds on the Nonminimal Coupling of the Higgs Boson to Gravity
• Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis
• Quantum corrections in Higgs inflation: the real scalar case
• UV (in)sensitivity of Higgs inflation
• Minimal Higgs inflation
• Higgs Inflation at NNLO after the Boson Discovery
• Gauge-Independent Scales Related to the Standard Model Vacuum Instability
• Late and early time phenomenology of Higgs-dependent cutoff
• Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
• On the Predictiveness of Single-Field Inflationary Models
• Quantum corrections in Higgs inflation: the Standard Model case
• The Higgs mass range from Standard Model false vacuum Inflation in scalar-tensor gravity
• Standard Model False Vacuum Inflation: Correlating the Tensor-to-Scalar Ratio to the Top Quark and Higgs Boson masses
• Running the running
• Is Higgs Inflation Dead?
• Eternal Hilltop Inflation
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Trapped Quintessential Inflation
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Meaning of the field dependence of the renormalization scale in Higgs inflation
• Inflection-point Higgs Inflation
• Non-Minimal Two-Loop Inflation
• Higgs inflation and quantum gravity: An exact renormalisation group approach
• Inflation from the Higgs field false vacuum with hybrid potential
• The Problem with False Vacuum Higgs Inflation
• Stationary configurations of the Standard Model Higgs potential: electroweak stability and rising inflection point
• Observational signatures of Higgs inflation
• Preheating the Universe from the Standard Model Higgs
• Uniqueness of the gauge invariant action for cosmological perturbations
• Goldstone bosons and a dynamical Higgs field
• Renormalization Group independence of Cosmological Attractors
• Hillclimbing inflation
• Hillclimbing Higgs inflation
• The Gravitational Wave Background and Higgs False Vacuum Inflation
• Higgs inflation and vacuum stability
• Can Inflation solve the Hierarchy Problem?
• What is the Homogeneity of our Universe Telling Us?
• Cosmological Constraints on the Higgs Boson Mass
• Red, Straight, no bends: primordial power spectrum reconstruction from CMB and large-scale structure
• Covariant one-loop quantum gravity and Higgs inflation
• Naturalness in Higgs inflation in a frame independent formalism
• Implications of the top (and Higgs) mass for vacuum stability
• Spectral tilt in A-term inflation
• Higgs Mass and Gravity Waves in Standard Model False Vacuum Inflation
• Non-Gaussianity in Nonminimally Coupled Scalar Field Theory

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• Inflation with $R^2$ term in the Palatini formalism
• Preheating in Palatini Higgs inflation
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• Gauging scale symmetry and inflation: Weyl versus Palatini gravity
• Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
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• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
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• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
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• Tachyonic Preheating in Palatini $R^2$ Inflation
• Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators
• Towards distinguishing variants of non-minimal inflation
• Palatini $R^2$ Quintessential Inflation
• Implications of Palatini gravity for inflation and beyond
• Gravitational dark matter production in Palatini preheating
• Higgs inflation and teleparallel gravity
• Non-minimally coupled quartic inflation with Coleman-Weinberg one-loop corrections in the Palatini formulation
• Constant-roll in the Palatini-$R^2$ models
• Hillclimbing inflation in metric and Palatini formulations
• Critical point Higgs inflation in the Palatini formulation
• Initial conditions for plateau inflation: a case study
• Slow-roll inflation in Palatini $F(R)$ gravity
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• Higgs-$R^2$ inflation -- full slow-roll study at tree-level
• Minimal $k$-inflation in light of the conformal metric-affine geometry
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Does Palatini Higgs Inflation Conserve Unitarity?
• Inflation and Reheating in f(R,h) theory formulated in the Palatini formalism
• Preheating in Palatini Higgs inflation on the lattice
• Preheating in Einstein-Cartan Higgs Inflation: Oscillon formation
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Multiple point criticality principle and Coleman-Weinberg inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• Higgs Criticality beyond the Standard Model
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Extended interactions in the Palatini-$R^2$ inflation
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Matching and running sensitivity in non-renormalizable inflationary models
• Invariant quantities of Scalar-Tensor Theories for stellar structure
• Violation of slow-roll in non-minimal inflation
• Cosmological constraints of Palatini $f(\mathcal{R})$ gravity
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Quintessential Inflation in Palatini Gravity
• Beyond (and back to) Palatini quadratic gravity and inflation
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• $\tilde{\xi }$-attractors in metric-affine gravity
• General Einstein-Cartan quadratic gravity with derivative couplings
• Destabilization of the EW vacuum in non-minimally coupled inflation
• Higgs inflation model with non-minimal coupling in hybrid Palatini approach
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Double inflation via non-minimally coupled spectator
• Palatini Higgs and Coleman-Weinberg inflation with non-minimal coupling
• Torsion and the Probability of Inflation
• Inflation in Symmergent Metric-Palatini Gravity
• Higgs inflation in complex geometrical scalar-tensor theory of gravity
• Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
• Natural inflation in Palatini $F(R,X)$
• Post-inflationary Leptogenesis and Dark Matter production: Metric versus Palatini formalism
• Scalar-tensor cosmologies in a minisuperspace formulation: a case study
• Frame-Dependence of the Hamilton-Jacobi Formalism for Inflation and Reheating in Non-Minimal Gravity
• Toward a gravitational network: Bridging metric-affine gravity and no-scale supergravity
• The Two-Measure Theory and an Overview of Some of its Manifestations
• $\beta$-function reconstruction of Palatini inflationary attractors
• Non-linear effects in early Universe cosmology
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Higgs-Dilaton Inflation in Einstein-Cartan gravity
• Large Field Polynomial Inflation in Palatini $f(R,\varphi )$ Gravity