Multi-wavelength constraints on the inflationary consistency relation

Abstract

We present the first attempt to use a combination of CMB, LIGO, and PPTA data to constrain both the tilt and the running of primordial tensor power spectrum through constraints on the gravitational wave energy density generated in the early universe. Combining measurements at different cosmological scales highlights how complementary data can be used to test the predictions of early universe models including the inflationary consistency relation. Current data prefers a slightly positive tilt ($n_t=0.06_{-0.89}^{+0.63}$) and a negative running ($n_{t,\mathrm{run}}<-0.22$) for the tensor power spectrum spectrum. Interestingly, the addition of direct gravitational wave detector data alone puts strong bounds on the tensor-to-scalar ratio $r<0.2$ since the large positive tensor tilt preferred by the \textit{Planck} temperature power spectrum is no longer allowed. Adding the recently released BICEP2/KECK and Planck 353 GHz Polarization cross correlation data puts an even stronger bound $r<0.1$ . We comment on possible effects of a large positive tilt on the background expansion and show that depending on the assumptions regarding the UV cutoff ($k_{\mathrm{UV}}/k_{\ast }=10^{24}$) of the primordial spectrum of gravitational waves, the strongest bounds on $n_t=0.07_{-0.80}^{+0.52}$ are derived from this effect.

arXiv commentMatches published version

References in corpus (41)

• The Sloan Digital Sky Survey: Technical Summary
• Planck 2013 results. XVI. Cosmological parameters
• Efficient Computation of CMB anisotropies in closed FRW models
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Gravitational Wave Experiments and Early Universe Cosmology
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• Relic neutrino decoupling including flavour oscillations
• Gravitational-wave sensitivity curves
• Formalising the Slow-Roll Approximation in Inflation
• COSMOS : Hubble Space Telescope Observations
• The Parkes Pulsar Timing Array Project
• COBE, Gravitational Waves, Inflation and Extended Inflation
• Ekpyrotic and Cyclic Cosmology
• Signatures of Relativistic Neutrinos in CMB Anisotropy and Matter Clustering
• Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers
• How Massless Neutrinos Affect the Cosmic Microwave Background Damping Tail
• Improved Calculation of the Primordial Gravitational Wave Spectrum in the Standard Model
• A new cosmic microwave background constraint to primordial gravitational waves
• Relating gravitational wave constraints from primordial nucleosynthesis, pulsar timing, laser interferometers, and the CMB: implications for the early universe
• Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
• Gravitational-wave Limits from Pulsar Timing Constrain Supermassive Black Hole Evolution
• The cosmic gravitational wave background in a cyclic universe
• Improved Upper Limits on the Stochastic Gravitational-Wave Background from 2009-2010 LIGO and Virgo Data
• Blue-tilted Tensor Spectrum and Thermal History of the Universe
• Can superhorizon cosmological perturbations explain the acceleration of the universe?
• New Sources of Gravitational Waves during Inflation
• Grand Unification, Gravitational Waves, and the Cosmic Microwave Background Anisotropy
• Observing the Inflaton Potential
• B-modes and the Nature of Inflation
• Gravitational Waves and the Scale of Inflation
• Deciphering Inflation with Gravitational Waves: Cosmic Microwave Background Polarization vs. Direct Detection with Laser Interferometers
• Observational Constraints on Theories with a Blue Spectrum of Tensor Modes
• Gravitational wave consistency relations for multifield inflation
• Blue Gravity Waves from BICEP2 ?
• How much can we learn about the physics of inflation?
• Inflationary Tensor Perturbations After BICEP
• Inflation and Mixed Dark Matter Models
• B-modes and the sound speed of primordial fluctuations

Cited by in corpus (42)

• Planck 2018 results. X. Constraints on inflation
• Planck 2013 results. XXII. Constraints on inflation
• Cosmological Backgrounds of Gravitational Waves
• CMB-S4 Science Case, Reference Design, and Project Plan
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
• Gravitational-wave cosmology across 29 decades in frequency
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• New constraints on primordial gravitational waves from Planck 2015
• Primordial gravitational waves for universality classes of pseudoscalar inflation
• Finding the chiral gravitational wave background of an axion-SU(2) inflationary model using CMB observations and laser interferometers
• Measuring the spectrum of primordial gravitational waves with CMB, PTA and Laser Interferometers
• Updated Constraints and Forecasts on Primordial Tensor Modes
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Primordial backgrounds of relic gravitons
• Inflation and Early Dark Energy with a Stage II Hydrogen Intensity Mapping Experiment
• The $H_0$ and ${\sigma }_8$ tensions and the scale invariant spectrum
• Constraints on Scalar and Tensor spectra from $N_{eff}$
• Primordial gravitational waves and the H0-tension problem
• Broken blue-tilted inflationary gravitational waves: a joint analysis of NANOGrav 15-year and BICEP/Keck 2018 data
• Precision cosmology and the stiff-amplified gravitational-wave background from inflation: NANOGrav, Advanced LIGO-Virgo and the Hubble tension
• Probing Decoupling in Dark Sectors with the Cosmic Microwave Background
• Towards a reliable calculation of relic radiation from primordial gravitational waves
• Constraining early dark energy with gravitational waves before recombination
• Gravitational Waves in Bouncing Cosmologies from Gauge Field Production
• Implications for primordial black holes from cosmological constraints on scalar-induced gravitational wave
• Primordial Gravitational Waves with LISA
• Probing the primordial universe with gravitational waves detectors
• No evidence for the blue-tilted power spectrum of relic gravitational waves
• Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations
• How much primordial tensor mode is allowed?
• An Étude on the Regularization and Renormalization of Divergences in Primordial Observables
• The effect of quantum decoherence on inflationary gravitational waves
• Improving Constraints on Inflation with CMB Delensing
• Detecting a Gravitational-Wave Background from Inflation with Null Energy Condition Violation: Prospects for Taiji
• Optimistic estimation on probing primordial gravitational waves with CMB B-mode polarization
• Multimodality in the Search for New Physics in Pulsar Timing Data and the Case of Kination-amplified Gravitational-wave Background from Inflation
• Analytic Correlation of Inflationary Potential to Power Spectrum Shape: Limits of Validity, and `No-Go' for Small Field Model Analytics
• SageNet: Fast Neural Network Emulation of the Stiff-amplified Gravitational Waves from Inflation
• Axion Dark Matter Archaeology with Primordial Gravitational Waves
• Time-dependent deflection reconstruction: new technique to search for gravitational waves with the cosmic microwave background
• Cosmic Neutrinos and Other Light Relics