Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion

Abstract

We calculate the power spectra of primordial curvature and isocurvature perturbations from a general two field inflation model at next-to-leading order correction in a slow-roll expansion. In particular we calculate the spectral indices to second order in slow-roll parameters. We show that the cross-correlation of the curvature and isocurvature perturbations at the time of Hubble-exit during inflation is non-zero at first-order in slow-roll parameters. We apply our results to different classes of inflation, including inflaton and curvaton scenarios. The spectrum of primordial gravitational waves, curvature and isocurvature perturbations obey generalised consistency relations in two-field inflation models. We give the first two consistency relations in an infinite hierarchy.

arXiv comment16 pages, no figures; v2- version published in PRD; v3- corrections to second order terms in several equations

References in corpus (30)

• Generating the curvature perturbation without an inflaton
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Inflation Dynamics and Reheating
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• Reconstructing the Inflaton Potential --- an Overview
• The primordial density perturbation in the curvaton scenario
• Adiabatic and entropy perturbations from inflation
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• Assisted inflation
• Instant Preheating
• CBR Anisotropy and the Running of the Scalar Spectral Index
• Scalar perturbations during multiple-field slow-roll inflation
• Correlated adiabatic and isocurvature perturbations from double inflation
• An Observational Test of Two-field Inflation
• Generalized Assisted Inflation
• Dynamics of Assisted Inflation
• Adiabatic and Isocurvature Perturbations from Inflation: Power Spectra and Consistency Relations
• Correlated perturbations from inflation and the cosmic microwave background
• Correlated Primordial Perturbations in Light of CMB and LSS Data
• Cosmological perturbation with two scalar fields in reheating after inflation
• The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion
• Curvature Perturbations from Broken Symmetries
• Correlated adiabatic and isocurvature CMB fluctuations in the wake of the WMAP
• Oscillations During Inflation and the Cosmological Density Perturbations
• A New delta N Formalism for Multi-Component Inflation
• Multiple-field inflation and the CMB
• Scale-invariant Perturbations from Chaotic Inflation
• The consistency equation hierarchy in single-field inflation models

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• Exploring Cosmic Origins with CORE: Inflation
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• The Observational Status of Cosmic Inflation after Planck
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• MultiModeCode: An efficient numerical solver for multifield inflation
• Scalar Dark Matter Production from Preheating and Structure Formation Constraints
• Generating primordial features at large scales in two field models of inflation
• Planck and BICEP/Keck Array 2018 constraints on primordial gravitational waves and perspectives for future B-mode polarization measurements
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
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• Constraints on generating the primordial curvature perturbation and non-Gaussianity from instant preheating
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• Constraints on scalar and tensor perturbations in phenomenological and two-field inflation models: Bayesian evidences for primordial isocurvature and tensor modes
• Non-Gaussianity, Isocurvature Perturbation, Gravitational Waves and a No-Go Theorem for Isocurvaton
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• Uncorrelated Compensated Isocurvature Perturbations from kSZ Tomography
• Multi-Field Inflation from String Theory
• Entropy production in inflation from spectator loops
• Coupling structure of multi-field primordial perturbations
• CMB spectral distortions in generic two-field models
• A Universal Bound on Excitations of Heavy Fields during Inflation
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• Spectrum of Curvature Perturbation of Multi-field Inflation with Small-Field Potential
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• 1/R Correction to Gravity in the Early Universe
• Covariant evolution of perturbations during reheating in two-field inflation
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• Particle physics model of curvaton inflation in a stable universe
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• Lecture notes on non-Gaussianity
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