Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories

Abstract

In the Horndeski's most general scalar-tensor theories, we derive the three-point correlation function of scalar non-Gaussianities generated during single-field inflation in the presence of slow-variation corrections to the leading-order term. Unlike previous works, the resulting bispectrum is valid for any shape of non-Gaussianities. In the squeezed limit, for example, this gives rise to the same consistency relation as that derived by Maldacena in standard single-field slow-roll inflation. We estimate the shape close to the squeezed one at which the effect of the term inversely proportional to the scalar propagation speed squared begins to contribute to the bispectrum. We also show that the leading-order bispectrum can be expressed by the linear combination of two convenient bases whose shapes are highly correlated with equilateral and orthogonal types respectively. We present concrete models in which the orthogonal and enfolded shapes can dominate over the equilateral one.

27 pages, 8 figures

References in corpus (35)

• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• G-inflation: inflation driven by the Galileon field
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Non-Gaussianities in two-field inflation
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• On the consistency relation of the 3-point function in single field inflation
• Non-Gaussianity in the modulated reheating scenario
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
• Higgs G-inflation
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Multi-brid inflation and non-Gaussianity
• Non-Gaussianities in New Ekpyrotic Cosmology
• Non-gaussianity from the second-order cosmological perturbation
• Primordial non-Gaussianity from the DBI Galileons
• A numerical study of non-gaussianity in the curvaton scenario
• Fast Estimator of Primordial Non-Gaussianity from Temperature and Polarization Anisotropies in the Cosmic Microwave Background
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• Large non-Gaussianity from multi-brid inflation
• Primordial Non-Gaussianity in Multi-Scalar Slow-Roll Inflation
• Primordial non-Gaussianity from G-inflation
• Primordial Non-Gaussianities of General Multiple Field Inflation
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Large Nongaussianity from Nonlocal Inflation
• On Classification of Models of Large Local-Type Non-Gaussianity
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Potential-driven Galileon inflation
• Predictions for Nongaussianity from Nonlocal Inflation
• A new method for calculating the primordial bispectrum in the squeezed limit
• Non-Gaussianity Consistency Relation for Multi-field Inflation
• On the squeezed limit of the bispectrum in general single field inflation
• Non-Gaussianity of superhorizon curvature perturbations beyond $\delta$ N formalism
• Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation

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• Beyond the Cosmological Standard Model
• Planck 2013 results. XXII. Constraints on inflation
• Encyclopaedia Inflationaris
• Horndeski theory and beyond: a review
• Planck constraints on single-field inflation
• Observational signatures of anisotropic inflationary models
• The effective field theory of inflation/dark energy and the Horndeski theory
• Analytic study of the effect of dark energy-dark matter interaction on the growth of structures
• An Extended action for the effective field theory of dark energy: a stability analysis and a complete guide to the mapping at the basis of EFTCAMB
• Primordial black holes in nonminimal derivative coupling inflation with quartic potential and reheating consideration
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• The Effective Theory of Shift-Symmetric Cosmologies
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Primordial non-Gaussianities after Planck 2015: an introductory review
• Strong Planck constraints on braneworld and non-commutative inflation
• Non-Gaussianities and tensor-to-scalar ratio in non-local $R^2$-like inflation
• Multi-field G-inflation
• Primordial black holes ensued from exponential potential and coupling parameter in nonminimal derivative inflation model
• Reconstructing Horndeski models from the effective field theory of dark energy
• Primordial black holes in non-canonical scalar field inflation driven by quartic potential in the presence of bump
• DBI inflation with a non-minimally coupled Gauss-Bonnet term
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Large fluctuations and Primordial Black Holes
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Multi-disformal invariance of nonlinear primordial perturbations
• Primordial black holes formation and secondary gravitational waves in nonminimal derivative coupling inflation
• Cosmological matching conditions and galilean genesis in Horndeski's theory
• Inflationary gravitational waves in the effective field theory of modified gravity
• Primordial non-Gaussianities of gravitational waves beyond Horndeski
• Large Non-Gaussianity in Non-Minimally Coupled Derivative Inflation with Gauss-Bonnet Correction
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Gravitational Wave from Axion-SU(2) Gauge Fields: Effective Field Theory for Kinetically Driven Inflation
• G-inflation: From the intermediate, logamediate and exponential models
• Galileon intermediate inflation
• Large tensor mode, field range bound and consistency in generalized G-inflation
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Scalar Bispectrum Beyond Slow-Roll in the Unified EFT of Inflation
• Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Gradient expansion of superhorizon perturbations in G-inflation
• Constraining cosmological scaling solutions of a Galileon field
• Some Aspects of the Tachyon Inflation with Superpotential in Confrontation with Planck2018 Data
• Constraints on Single-Field Inflation
• Static Spherically Symmetric solutions in a subclass of Horndeski theories of gravity
• Warm inflation in Horndeski gravity
• Lowering the self-coupling of the scalar field in a generalized Higgs inflation
• More on the Non-Gaussianity of Perturbations in a Non-Minimal Inflationary Model
• Generic analysis of kinetically driven inflation
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Intermediate and Power-Law Inflation in the Tachyon Model with Constant Sound Speed
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Generalized Galileon Scenario Inspires Chaotic Inflation
• Testing a Two Field Inflation Beyond the Slow-Roll Approximation
• An ostentatious model of cosmological scalar-tensor theory
• Stochastic gravitational wave background anisotropies from inflation with non-Bunch-Davies states
• Testing an Inflation Model with Nonminimal Derivative Coupling in the Light of PLANCK 2015 Data
• The Black Hole Window on Cosmic Inflation