Higher-Curvature Corrections and Tensor Modes

Abstract

Higher-curvature corrections to the effective gravitational action may leave signatures in the spectrum of primordial tensor perturbations if the inflationary energy scale is sufficiently high. In this paper we further investigate the effects of a coupling of the Inflaton field to higher-curvature tensors in models with a minimal breaking of conformal symmetry. We show that an observable violation of the tensor consistency relation from higher-curvature tensors implies also a relatively large running of the tensor tilt, enhanced even by some order of magnitude with respect to the standard slow roll case. This may leave signatures in the tensor two-point function that we could test to recognize higher-curvature effects, above all if they are translated into a blue tilted spectrum visible by future Gravitational Wave experiments. Exploiting current cosmic microwave background and gravitational wave data we also derive constraints on the inflationary parameters, inferring that large higher-curvature corrections seem to be disfavored.

11 pages, 3 figures

References in corpus (29)

• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Laser Interferometer Space Antenna
• The Effective Field Theory of Inflation
• Effective Field Theory for Inflation
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Swampland Implications of GW170817-compatible Einstein-Gauss-Bonnet Gravity
• CLASS: The Cosmology Large Angular Scale Surveyor
• Resilience of the standard predictions for primordial tensor modes
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• Inflation and String Theory
• Prospects for direct detection of primordial gravitational waves
• Anomalous CMB polarization and gravitational chirality
• Measuring the speed of cosmological gravitational waves
• Non-Minimally Coupled Einstein Gauss Bonnet Inflation Phenomenology in View of GW170817
• The Photospheric Temperatures of Betelgeuse during the Great Dimming of 2019/2020: No New Dust Required
• Gravitational Waves and the Scale of Inflation
• Observational Constraints on Theories with a Blue Spectrum of Tensor Modes
• How Well Can We Really Determine the Scale of Inflation?
• Cosmological Shapes of Higher-Spin Gravity
• WMAP-normalized Inflationary Model Predictions and the Search for Primordial Gravitational Waves with Direct Detection Experiments
• Supersymmetry Breaking and Inflation from Higher Curvature Supergravity
• Simplifying the EFT of Inflation: Generalized Disformal Transformations and Redundant Couplings
• Canonical Scalar Field Inflation with String and $R^2$-Corrections
• Probing the primordial universe with gravitational waves detectors
• Revisiting slow-roll dynamics and the tensor tilt in general single-field inflation
• Non-minimally Coupled Einstein-Gauss-Bonnet Gravity with Massless Gravitons: The Constant-roll Case