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  All correlations must die: Assessing the significance of a stochastic gravitational-wave background in pulsar-timing arrays

Taylor, S. R., Lentati, L., Babak, S., Brem, P., Gair, J. R., Sesana, A., et al. (2017). All correlations must die: Assessing the significance of a stochastic gravitational-wave background in pulsar-timing arrays. Physical Review D, 95: 042002. doi:10.1103/PhysRevD.95.042002.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5E1B-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-A967-2
Genre: Journal Article

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Taylor, S. R., Author
Lentati, L., Author
Babak, S.1, Author              
Brem, P., Author
Gair, J. R., Author
Sesana, A.2, Author              
Vecchio, A., Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:1933290              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24013              

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Free keywords: Astrophysics, Instrumentation and Methods for Astrophysics, astro-ph.IM,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Experiment, hep-ex
 Abstract: We present two methods for determining the significance of a stochastic gravitational-wave background affecting a pulsar-timing array, where detection is based on recovering evidence for correlations between different pulsars, i.e. spatial correlations. Nulling these spatial correlations is crucial to understanding the response of our detection statistic under the null hypothesis so that we can properly assess the significance of plausible signals. The usual approach of creating many noise-only simulations is, albeit useful, undesirable since in that case detection significance is predicated on our (incomplete) understanding of all noise processes. Alternatively, destroying any possible correlations in our real datasets and using those (containing all actual noise features) is a much superior approach. In our first method, we perform random phase shifts in the signal-model basis functions, which has the effect of eliminating signal phase coherence between pulsars, while keeping the statistical properties of the pulsar timing residuals intact. We also explore a method to null correlations between pulsars by using a "scrambled" overlap-reduction function in the signal model for the array. This scrambled overlap-reduction function should be effectively orthogonal to what we expect of a real background signal. We demonstrate the efficacy of these methods in a set of simulated datasets that contain a stochastic gravitational wave background, using Bayesian model selection to compare models that do, or do not, account for the correlation between pulsars induced by this signal. Finally, we introduce an overarching formalism under which these two techniques can be seen as natural companions to each other. These methods are immediately applicable to all current pulsar-timing array datasets, and should become standard tools for future analyses.

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 Dates: 2016-06-292017
 Publication Status: Published in print
 Pages: 15 pages, 7 figures, 2 tables
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1606.09180
URI: http://arxiv.org/abs/1606.09180
DOI: 10.1103/PhysRevD.95.042002
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 95 Sequence Number: 042002 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258