Searching for Bispectrum of Stochastic Gravitational Waves with Pulsar Timing Arrays

Abstract

We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the shape of the bispectrum carries valuable information of inflation models. We show that an appropriate filter function for three point correlations enables us to extract a specific configuration of momentum triangles in bispectra. We also calculate the overlap reduction functions and discuss strategy for detecting the bispectrum with multiple pulsars.

arXiv comment25 pages, 9 figures

References in corpus (42)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations
• Gravitational Wave Experiments and Early Universe Cosmology
• Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities
• The cosmological gravitational wave background from primordial density perturbations
• Quasi-Single Field Inflation and Non-Gaussianities
• European Pulsar Timing Array Limits On An Isotropic Stochastic Gravitational-Wave Background
• Detection methods for stochastic gravitational-wave backgrounds: a unified treatment
• The shape of non-Gaussianities
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• The NANOGrav 11-year Data Set: Pulsar-timing Constraints On The Stochastic Gravitational-wave Background
• Signatures of Supersymmetry from the Early Universe
• Upper Limits on the Stochastic Gravitational-Wave Background from Advanced LIGO's First Observing Run
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• The astrophysical gravitational wave stochastic background
• Optimal strategies for gravitational wave stochastic background searches in pulsar timing data
• Effective field theory approach to quasi-single field inflation and effects of heavy fields
• Non-Gaussianity as a Particle Detector
• Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
• Gravitational-wave cosmology across 29 decades in frequency
• Parity Violation in Graviton Non-gaussianity
• New Sources of Gravitational Waves during Inflation
• Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves
• An inflationary model with small scalar and large tensor nongaussianities
• Large Tensor Non-Gaussianity from Axion-Gauge Fields Dynamics
• Constraints of relic gravitational waves by Pulsar Timing Array: Forecasts for the FAST and SKA projects
• Detection methods for non-Gaussian gravitational wave stochastic backgrounds
• Effects of parity violation on non-gaussianity of primordial gravitational waves in Hořava-Lifshitz gravity
• Chiral Primordial Gravitational Waves from Dilaton Induced Delayed Chromo-natural Inflation
• Probing non-Gaussian Stochastic Gravitational Wave Backgrounds with LISA
• Probing circular polarization in stochastic gravitational wave background with pulsar timing arrays
• Upper limits on a stochastic gravitational-wave background using LIGO and Virgo interferometers at 600-1000 Hz
• Oscillating Chiral Tensor Spectrum from Axionic Inflation
• Measuring the non-Gaussian stochastic gravitational-wave background: a method for realistic interferometer data
• Heavy Particle Signatures in Cosmological Correlation Functions with Tensor Modes
• Detection regimes of the cosmological gravitational wave background from astrophysical sources
• Tensor non-Gaussianities from Non-minimal Coupling to the Inflaton
• Non-Gaussianity analysis of GW background made by short-duration burst signals
• A cosmological "probability event horizon" and its observational implications
• Primordial Gravitational Waves Induced by Magnetic Fields in an Ekpyrotic Scenario
• Non-Gaussianity test for discriminating gravitational wave backgrounds around 0.1-1Hz
• Gaussianity of LISA's confusion backgrounds

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• PBHs and secondary GWs from ultra slow roll and punctuated inflation
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• Phase decoherence of gravitational wave backgrounds
• Primordial Tensor Non-Gaussianity from Massive Gravity
• Flattened bispectrum of the scalar-induced gravitational waves