Palatini-Higgs inflation with non-minimal derivative coupling

Abstract

The predictions of standard Higgs inflation in the framework of the metric formalism yield a tensor-to-scalar ratio $r\sim 10^{-3}$ which lies well within the expected accuracy of near-future experiments $\sim 10^{-4}$. When the Palatini formalism is employed, the predicted values of $r$ get highly-suppressed $r\sim 10^{-12}$ and consequently a possible non-detection of primordial tensor fluctuations will rule out only the metric variant of the model. On the other hand, the extremely small values predicted for $r$ by the Palatini approach constitute contact with observations a hopeless task for the foreseeable future. In this work, we propose a way to remedy this issue by extending the action with the inclusion of a generalized non-minimal derivative coupling term between the inflaton and the Einstein tensor of the form $m^{-2}(\varphi )G_{\mu \nu }{\nabla }^{\mu }\varphi {\nabla }^{\nu }\varphi$. We find that with such a modification, the Palatini predictions can become comparable with the ones obtained in the metric formalism, thus providing ample room for the model to be in contact with observations in the near future.

arXiv commenttypos fixed, references added, matches published version

References in corpus (106)

• Modified Gravity and Cosmology
• The Standard Model Higgs boson as the inflaton
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• The Primordial Inflation Explorer (PIXIE): A Nulling Polarimeter for Cosmic Microwave Background Observations
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• The Relation between Physical and Gravitational Geometry
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• Standard Model Higgs boson mass from inflation
• Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Exact cosmological solutions with nonminimal derivative coupling
• Cosmology with Nonminimal Derivative Couplings
• Higgs inflation
• Higgs-Palatini Inflation and Unitarity
• Primordial Black Holes from Inflation with Nonminimal Derivative Coupling
• Higgs inflation with loop corrections in the Palatini formulation
• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• Palatini inflation in models with an $R^2$ term
• Observational tests of inflation with a field derivative coupling to gravity
• Inflation with $R^2$ term in the Palatini formalism
• Preheating in Palatini Higgs inflation
• Reheating in $R^2$ Palatini inflationary models
• Generalized Higgs inflation
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Planck scale black hole dark matter from Higgs inflation
• Unifying Einstein and Palatini gravities
• The Palatini side of inflationary attractors
• Metric-affine Gravity and Inflation
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• The Theorem of Ostrogradsky
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• Cosmological disformal invariance
• Higgs inflation with the Holst and the Nieh-Yan term
• Dynamically induced Planck scale and inflation in the Palatini formulation
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• Hidden Inflaton Dark Matter
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Quantum Effects in Palatini Higgs Inflation
• Inflationary Perturbations in Palatini Generalised Gravity
• PICO: Probe of Inflation and Cosmic Origins
• Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Disformal Gravity Theories: A Jordan Frame Analysis
• Attractor Behaviour in Multifield Inflation
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Generalized Non-Minimal Derivative Coupling: Application to Inflation and Primordial Black Hole Production
• Disformal transformation of cosmological perturbations
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• K-inflationary Power Spectra in the Uniform Approximation
• Reheating in nonminimal derivative coupling model
• Scalar-metric-affine theories: Can we get ghost-free theories from symmetry?
• Palatini frames in scalar-tensor theories of gravity
• Trans-Planckian Censorship, Inflation and Dark Matter
• K-inflationary Power Spectra at Second Order
• Big Bounce cosmology for Palatini $R^2$ gravity with a Nieh-Yan term
• Higgs inflation in Einstein-Cartan gravity
• Inflationary dynamics and preheating of the non-minimally coupled inflaton field in the metric and Palatini formalisms
• Exact Mapping between Tensor and Most General Scalar Power Spectra
• Parameterized post-Newtonian limit of Horndeski's gravity theory
• Axion dark matter from Higgs inflation with an intermediate $H_{\ast }$
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Towards distinguishing variants of non-minimal inflation
• Higgs inflation in metric and Palatini formalisms: Required suppression of higher dimensional operators
• Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings
• Constraints on Kinetically Modified Inflation from WMAP5
• Gravitational dark matter production in Palatini preheating
• Sub-Planckian ${\varphi }^2$ Inflation in the Palatini Formulation of Gravity with an $R^2$ term
• Beyond dimensional analysis: Higgs and new Higgs inflations {\it do not} violate unitarity
• Non-minimally coupled quartic inflation with Coleman-Weinberg one-loop corrections in the Palatini formulation
• Non-minimal derivative coupling gravity in cosmology
• Einstein-Cartan gravity, matter, and scale-invariant generalization
• Constant-roll in the Palatini-$R^2$ models
• Hillclimbing inflation in metric and Palatini formulations
• Initial conditions for plateau inflation: a case study
• Cosmological constraints on general, single field inflation
• Particle Production after Inflation with Non-minimal Derivative Coupling to Gravity
• Self-unitarization of New Higgs Inflation and compatibility with Planck and BICEP2 data
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Filtering out the cosmological constant in the Palatini formalism of modified gravity
• Cosmological models in modified gravity theories with extended nonminimal derivative couplings
• Reheating predictions in Gravity Theories with Derivative Coupling
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• Cosmology of non-minimal derivative coupling to gravity in Palatini formalism and its chaotic inflation
• Post-inflationary phases stiffer than radiation and Palatini formulation
• Hybrid Higgs Inflation: The Use of Disformal Transformation
• Disformally coupled inflation
• Ghost-free Palatini derivative scalar-tensor theory: desingularization and the speed test
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• PPN parameters in gravitational theory with nonminimally derivative coupling
• Slow-Roll Inflation in Scalar-Tensor Models
• Higgs inflation with non-minimal derivative coupling to gravity
• Stability of Hybrid Higgs Inflation
• Warm inflation with an oscillatory inflaton in the non-minimal kinetic coupling model
• Inflaton decay and reheating in nonminimal derivative coupling
• A generalized Weyl structure with arbitrary non-metricity
• Inflation with Derivative Self-interaction and Coupling to Gravity
• The geometry of null-like disformal transformations
• Conformal and kinetic couplings as two Jordan frames of the same theory
• Constant-roll inflation driven by a scalar field with non-minimal derivative coupling
• Potential-driven Inflation with Disformal Coupling to Gravity
• Generalized Conformal Transformation and Inflationary Attractors
• When the regularized Lovelock tensors are kinetically coupled to scalar field

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• Anatomy of single-field inflationary models for primordial black holes
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• Critical point Higgs inflation in the Palatini formulation
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• General slow-roll inflation in $f(R)$ gravity under the Palatini approach
• On the number of $e$-folds in the Jordan and Einstein frames
• Multiple point criticality principle and Coleman-Weinberg inflation
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Extended interactions in the Palatini-$R^2$ inflation
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• Observable Gravitational Waves from Hyperkination in Palatini Gravity and Beyond
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• Cosmological constraints of Palatini $f(\mathcal{R})$ gravity
• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
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• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
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• General Einstein-Cartan quadratic gravity with derivative couplings
• $\tilde{\xi }$-attractors in metric-affine gravity
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Scalar fields with derivative coupling to curvature in the Palatini and the metric formulation
• Isocurvature modes and non-Gaussianity in affine inflation
• Constraining inflation with nonminimal derivative coupling with the Parkes Pulsar Timing Array third data release
• Natural inflation in Palatini $F(R,X)$
• Noether symmetry approach in non-minimal derivative coupling gravity
• Inflation with the Chern-Simons term in the Palatini formulation
• On the KG-constrained general disformal transformation of the Einstein-Hilbert action
• Constant-roll inflation with non-minimally derivative coupling
• $\beta$-function reconstruction of Palatini inflationary attractors
• Intermediate inflation in generalized non-minimal derivative coupling model
• Cosmic inflation in metric-affine gravity
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Inflation with the Gauss-Bonnet term in the Palatini formulation
• Large Field Polynomial Inflation in Palatini $f(R,\varphi )$ Gravity