Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction

Abstract

The slow-roll inflation for a single scalar field that couples to the Gauss-Bonnet (GB) term represents an important higher-order curvature correction inspired by string theory. With the arrival of the era of precision cosmology, it is expected that the high-order corrections become more and more important. In this paper we study the observational predictions of the slow-roll inflation with the GB term by using the third-order uniform asymptotic approximation method. We calculate explicitly the primordial power spectra, spectral indices, running of the spectral indices for both scalar and tensor perturbations, and the ratio between tensor and scalar spectra. These expressions are all written in terms of the Hubble and GB coupling flow parameters and expanded up to the next-to-leading order in the slow-roll expansions. The upper bounds of errors of the approximations at the third-order are $0.15\%$, so they represent the most accurate results obtained so far in the literature. We expect that the understanding of the GB corrections in the primordial spectra and their constraints by forthcoming observational data will provide clues for the UV complete theory of quantum gravity, such as the string/M-theory.

revtex4, no figures and no tables. Typos were corrected, and new references added

References in corpus (8)

• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Hořava Gravity at a Lifshitz Point: A Progress Report
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Observational constraints on slow-roll inflation coupled to a Gauss-Bonnet term
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• Shortcomings of New Parametrizations of Inflation
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Power spectra and spectral indices of $k$-inflation: high-order corrections

Cited by in corpus (22)

• Inflation with Gauss-Bonnet coupling
• Polarized primordial gravitational waves in the ghost-free parity-violating gravity
• Gauss-Bonnet term corrections in scalar field cosmology
• De Sitter solutions in Einstein-Gauss-Bonnet gravity
• Gauss-Bonnet Inflation after Planck2018
• Stability analysis of de Sitter solutions in models with the Gauss-Bonnet term
• Non-adiabatic Evolution of Primordial Perturbations and non-Gaussinity in Hybrid Approach of Loop Quantum Cosmology
• Higher-Curvature Corrections and Tensor Modes
• Slow-Roll Inflation with Exponential Potential in Scalar-Tensor Models
• Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
• Slow-Roll Inflation in Scalar-Tensor Models
• Background dynamics of pre-inflationary scenario in Brans-Dicke loop quantum cosmology
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Preinflationary perturbations from the closed algebra approach in loop quantum cosmology
• Inflationary perturbation spectrum in extended effective field theory of inflation
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Langer Modification, Quantization condition and Barrier Penetration in Quantum Mechanics
• Inflationary perturbation spectra at next-to-leading slow-roll order in effective field theory of inflation
• Inflationary Cosmology with Quantum Gravitational Effects and the Swampland Conjectures
• Reheating era in Gauss-Bonnet theories of gravity compatible with the GW170817 event
• Implications of pulsar timing arrays for Gauss-Bonnet Inflation
• Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology