Pulsar-timing measurement of the circular polarization of the stochastic gravitational-wave background

Abstract

Pulsar-timing arrays (PTAs) are in the near future expected to detect a stochastic gravitational-wave background (SGWB) produced by a population of inspiralling super-massive black hole binaries. In this work, we consider a background that can be anisotropic and circularly polarized. We use the expansion of the intensity and the circular polarization in terms of spherical harmonics and the overlap reduction functions for each term in this expansion. We propose an unbiased real-space estimator that can separate the intensity and circular-polarization contributions of the SGWB to pulsar-timing-residual correlations and then validate the estimator on simulated data. We compute the signal-to-noise ratio of a circular-polarization component that has a dipole pattern under different assumptions about the PTA. We find that a nearly-maximal circular-polarization dipole may be detectable, which can aid in determining whether or not the background is dominated by a handful of bright sources.

arXiv comment10 pages, 3 figures

References in corpus (38)

• Detecting a stochastic background of gravitational radiation: Signal processing strategies and sensitivities
• The stochastic gravitational-wave background from massive black hole binary systems: implications for observations with Pulsar Timing Arrays
• High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array
• Gravitational Waves Probe the Coalescence Rate of Massive Black Hole Binaries
• The International Pulsar Timing Array: Second data release
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Ultra-Low Frequency Gravitational Radiation from Massive Black Hole Binaries
• Optimal strategies for gravitational wave stochastic background searches in pulsar timing data
• Characterising gravitational wave stochastic background anisotropy with Pulsar Timing Arrays
• Detection of gravitational waves from the QCD phase transition with pulsar timing arrays
• Detection of Anisotropies in the Gravitational-Wave Stochastic Background
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays
• The Parkes Pulsar Timing Array Project: Second data release
• Measuring a Parity Violation Signature in the Early Universe via Ground-based Laser Interferometers
• Time-domain Implementation of the Optimal Cross-Correlation Statistic for Stochastic Gravitational-Wave Background Searches in Pulsar Timing Data
• Does a 'stochastic' background of gravitational waves exist in the pulsar timing band?
• The stochastic gravity-wave background: sources and detection
• Constraining astrophysical observables of Galaxy and Supermassive Black Hole Binary Mergers using Pulsar Timing Arrays
• Constraints of relic gravitational waves by Pulsar Timing Array: Forecasts for the FAST and SKA projects
• Polarization analysis of gravitational-wave backgrounds from the correlation signals of ground-based interferometers: measuring a circular-polarization mode
• Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution
• Prospects for direct detection of circular polarization of gravitational-wave background
• Constraints On The Dynamical Environments Of Supermassive Black-hole Binaries Using Pulsar-timing Arrays
• Quest for circular polarization of gravitational wave background and orbits of laser interferometers in space
• Pulsar Timing Array Analysis for Black Hole Backgrounds
• Pulsar-timing arrays, astrometry, and gravitational waves
• Probing circular polarization in stochastic gravitational wave background with pulsar timing arrays
• Forecast constraints on cosmic strings from future CMB, pulsar timing and gravitational wave direct detection experiments
• Common-spectrum process versus cross-correlation for gravitational-wave searches using pulsar timing arrays
• The effect of small inter-pulsar distance variations in stochastic gravitational wave background searches with Pulsar Timing Arrays
• Chirality of the gravitational-wave background and pulsar-timing arrays
• Fisher formalism for anisotropic gravitational-wave background searches with pulsar timing arrays
• The NANOGrav Program for Gravitational Waves and Fundamental Physics
• The search for anisotropy in the gravitational-wave background with pulsar-timing arrays
• Pulsar science with the CHIME telescope
• Cosmological and astrophysical constraints on superconducting cosmic strings
• pinta: The uGMRT Data Processing Pipeline for the Indian Pulsar Timing Array
• Proving the short-wavelength approximation in Pulsar Timing Array gravitational-wave background searches

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