Noise analysis in the European Pulsar Timing Array data release 2 and its implications on the gravitational-wave background search

Abstract

The European Pulsar Timing Array (EPTA) collaboration has recently released an extended data set for six pulsars (DR2) and reported evidence for a common red noise signal. Here we present a noise analysis for each of the six pulsars. We consider several types of noise: (i) radio frequency independent, "achromatic", and time-correlated red noise; (ii) variations of dispersion measure and scattering; (iii) system and band noise; and (iv) deterministic signals (other than gravitational waves) that could be present in the PTA data. We perform Bayesian model selection to find the optimal combination of noise components for each pulsar. Using these custom models we revisit the presence of the common uncorrelated red noise signal previously reported in the EPTA DR2 and show that the data still supports it with a high statistical significance. Next, we confirm that there is no preference for or against the Hellings-Downs spatial correlations expected for the stochastic gravitational-wave background. The main conclusion of the EPTA DR2 paper remains unchanged despite a very significant change in the noise model of each pulsar. However, modelling the noise is essential for the robust detection of gravitational waves and its impact could be significant when analysing the next EPTA data release, which will include a larger number of pulsars and more precise measurements.

arXiv comment21 pages, 11 figures, 7 tables, 1 appendix figure and 1 appendix table, accepted for publication to MNRAS

References in corpus (54)

• The NumPy array: a structure for efficient numerical computation
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• TEMPO2, a new pulsar timing package. I: Overview
• Gravitational Wave Experiments and Early Universe Cosmology
• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Switched magnetospheric regulation of pulsar spin-down
• European Pulsar Timing Array Limits On An Isotropic Stochastic Gravitational-Wave Background
• High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array
• The International Pulsar Timing Array: First Data Release
• Gravitational Waves Probe the Coalescence Rate of Massive Black Hole Binaries
• Low-Frequency Gravitational Waves from Massive Black Hole Binaries: Predictions for LISA and Pulsar Timing Arrays
• Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: current limits and future prospects
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
• Low-frequency gravitational radiation from coalescing massive black hole binaries in hierarchical cosmologies
• The International Pulsar Timing Array: Second data release
• Common-red-signal analysis with 24-yr high-precision timing of the European Pulsar Timing Array: Inferences in the stochastic gravitational-wave background search
• Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays
• Ultra-Low Frequency Gravitational Radiation from Massive Black Hole Binaries
• Assessing the Role of Spin Noise in the Precision Timing of Millisecond Pulsars
• European Pulsar Timing Array Limits on Continuous Gravitational Waves from Individual Supermassive Black Hole Binaries
• Measurement and correction of variations in interstellar dispersion in high-precision pulsar timing
• Timing stability of millisecond pulsars and prospects for gravitational-wave detection
• On measuring the gravitational-wave background using Pulsar Timing Arrays
• The NANOGrav 12.5 yr Data Set: Observations and Narrowband Timing of 47 Millisecond Pulsars
• Understanding and analysing time-correlated stochastic signals in pulsar timing
• Dispersion Measure Variations and their Effect on Precision Pulsar Timing
• Hyper-efficient model-independent Bayesian method for the analysis of pulsar timing data
• Limitations in timing precision due to single-pulse shape variability in millisecond pulsars
• The Parkes Pulsar Timing Array Project: Second data release
• A study of spatial correlations in pulsar timing array data
• From Spin Noise to Systematics: Stochastic Processes in the First International Pulsar Timing Array Data Release
• New advances in the Gaussian-process approach to pulsar-timing data analysis
• Frequency-Dependent Dispersion Measures and Implications for Pulsar Timing
• Testing Theories of Gravitation Using 21-Year Timing of Pulsar Binary J1713+0747
• Identifying and mitigating noise sources in precision pulsar timing data sets
• LEAP: the large European array for pulsars
• Pulsar Observations of Extreme Scattering Events
• A pulsar-based timescale from the International Pulsar Timing Array
• From Bright Binaries To Bumpy Backgrounds: Mapping Realistic Gravitational Wave Skies With Pulsar-Timing Arrays
• High-fidelity radio astronomical polarimetry using a millisecond pulsar as a polarized reference source
• Pulsar timing noise from superfluid turbulence
• Bayesian model selection without evidences: application to the dark energy equation-of-state
• Profile shape stability and phase jitter analyses of millisecond pulsars
• The noise properties of 42 millisecond pulsars from the European Pulsar Timing Array and their impact on gravitational wave searches
• A Second Chromatic Timing Event of Interstellar Origin toward PSR J1713+0747
• Efficient computation of the gravitational wave spectrum emitted by eccentric massive black hole binaries in stellar environments
• The NANOGrav Nine-Year Data Set: Noise Budget for Pulsar Arrival Times on Intraday Timescales
• A Measurement Model for Precision Pulsar Timing
• Low-rank approximations for large stationary covariance matrices, as used in the Bayesian and generalized-least-squares analysis of pulsar-timing data
• Measuring Interstellar Delays of PSR J0613-0200 over 7 years, using the Large European Array for Pulsars
• Model Dependence of Bayesian Gravitational-Wave Background Statistics for Pulsar Timing Arrays
• Improving timing sensitivity in the microhertz frequency regime: limits from PSR J1713$+$0747 on gravitational waves produced by super-massive black-hole binaries
• Is there a spectral turnover in the spin noise of millisecond pulsars?
• Timing Noise in Pulsars and Magnetars and the Magnetospheric Moment of Inertia

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• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
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• Practical approaches to analyzing PTA data: Cosmic strings with six pulsars
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• Status Report on Global Pulsar-Timing-Array Efforts to Detect Gravitational Waves
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• The Chinese Pulsar Timing Array data release I. Single pulsar noise analysis
• Never bet against Einstein
• Impact of the observation frequency coverage on the significance of a gravitational wave background detection in PTA data
• Improving pulsar timing precision through superior Time-of-Arrival creation
• Robust parameter estimation from pulsar timing data
• Rapid Construction of Joint Pulsar Timing Array Datasets: The Lite Method
• The Indian Pulsar Timing Array Data Release 2: II. Customised Single-Pulsar Noise Analysis and Noise Budget
• Theoretical Radio Signals from Radio-Band Gravitational Waves Converted from the Neutron Star Magnetic Field
• Explanation of the exceptionally strong timing noise of PSR J0337+1715 by a circum-ternary planet and consequences for gravity tests
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• The impact of outliers on pulsar timing arrays
• The NANOGrav 15 yr Data Set: Customized Chromatic Noise Models