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Placing limits on the stochastic gravitational‐wave background using European Pulsar Timing Array data

Identifieur interne : 006351 ( Main/Exploration ); précédent : 006350; suivant : 006352

Placing limits on the stochastic gravitational‐wave background using European Pulsar Timing Array data

Auteurs : R. Van Haasteren [Pays-Bas] ; Y. Levin [Australie, Pays-Bas] ; G. H. Janssen [Royaume-Uni] ; K. Lazaridis [Allemagne] ; M. Kramer [Allemagne, Royaume-Uni] ; B. W. Stappers [Royaume-Uni, Pays-Bas] ; G. Desvignes [France, États-Unis] ; M. B. Purver [Royaume-Uni] ; A. G. Lyne [Royaume-Uni] ; R. D. Ferdman [France] ; A. Jessner [Allemagne] ; I. Cognard [France] ; G. Theureau [France] ; N. D Mico [Italie] ; A. Possenti [Italie] ; M. Burgay [Italie] ; A. Corongiu [Italie] ; J. W. T. Hessels [Pays-Bas] ; R. Smits [Royaume-Uni, Pays-Bas] ; J. P. W. Verbiest [Allemagne]

Source :

RBID : ISTEX:844CF7F1713E2E0C5BA7491E0AF3024404E6072A

Descripteurs français

English descriptors

Abstract

Direct detection of low‐frequency gravitational waves (GWs,  Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB) whose characteristic strain is expected to approximately follow a power‐law of the form , where f is the GW frequency. In this paper we use the current data from the European PTA to determine an upper limit on the GWB amplitude A as a function of the unknown spectral slope α with a Bayesian algorithm, by modelling the GWB as a random Gaussian process. For the case α=−2/3, which is expected if the GWB is produced by supermassive black hole binaries, we obtain a 95 per cent confidence upper limit on A of 6 × 10−15, which is 1.8 times lower than the 95 per cent confidence GWB limit obtained by the Parkes PTA in 2006. Our approach to the data analysis incorporates the multitelescope nature of the European PTA and thus can serve as a useful template for future intercontinental PTA collaborations.

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DOI: 10.1111/j.1365-2966.2011.18613.x


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Le document en format XML

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<term>Confidence limit</term>
<term>Correlation matrices</term>
<term>Cosmic strings</term>
<term>Cosmology</term>
<term>Damour vilenkin</term>
<term>Data analysis</term>
<term>Data sets</term>
<term>Deterministic processes</term>
<term>Different data sets</term>
<term>Different epta observatories</term>
<term>Different observatories</term>
<term>Different radio telescopes</term>
<term>Dispersion measure</term>
<term>Efac</term>
<term>Efac parameter</term>
<term>Efac value</term>
<term>Effelsberg</term>
<term>Effelsberg toas</term>
<term>Epta</term>
<term>Epta data</term>
<term>Epta data sets</term>
<term>Epta telescopes</term>
<term>Equad parameter</term>
<term>Equad parameters</term>
<term>Error bars</term>
<term>Functional form</term>
<term>Gaussian processes</term>
<term>General relativity</term>
<term>Gravitational waves</term>
<term>Haasteren</term>
<term>Hobbs</term>
<term>Hobbs edwards</term>
<term>Hole binaries</term>
<term>Jaffe backer</term>
<term>Jenet</term>
<term>Large number</term>
<term>Limit calculation</term>
<term>Lovell telescope</term>
<term>Marginalized</term>
<term>Marginalized posteriors</term>
<term>Millisecond pulsars</term>
<term>Mnras</term>
<term>Model parameter</term>
<term>Model parameters</term>
<term>Monthly notices</term>
<term>More pulsars</term>
<term>Multitelescope nature</term>
<term>Nancay radio telescope</term>
<term>Noise amplitude</term>
<term>Noise component</term>
<term>Noise parameters</term>
<term>Observatory</term>
<term>Other pulsars</term>
<term>Other timing model parameters</term>
<term>Parameter</term>
<term>Parameter space</term>
<term>Posterior distribution</term>
<term>Power law</term>
<term>Previous section</term>
<term>Probability distribution</term>
<term>Pulsar</term>
<term>Pulsar timing</term>
<term>Pulsar timing observations</term>
<term>Pulsars</term>
<term>Pulse freq</term>
<term>Quantum grav</term>
<term>Radio telescope</term>
<term>Radiometre noise</term>
<term>Residual</term>
<term>Respective volume</term>
<term>Same pulsar</term>
<term>Several telescopes</term>
<term>Single pulsar</term>
<term>Spectral index</term>
<term>Stochastic</term>
<term>Stochastic background</term>
<term>Stochastic processes</term>
<term>Strict periodicity</term>
<term>String tension</term>
<term>Supermassive</term>
<term>Supermassive black hole</term>
<term>Systematic contributions</term>
<term>Telescope</term>
<term>Tempo2</term>
<term>Timing</term>
<term>Timing model</term>
<term>Timing model parameters</term>
<term>Timing noise</term>
<term>Timing residuals</term>
<term>Timing solution</term>
<term>Timing solutions</term>
<term>Toas</term>
<term>Upper bound</term>
<term>Upper limit</term>
<term>Upper limits</term>
<term>Vhlml</term>
<term>Vilenkin</term>
<term>White noise</term>
<term>Wsrt</term>
<term>Wyithe loeb</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr">
<term>Algorithme</term>
<term>Analyse donnée</term>
<term>Borne supérieure</term>
<term>Cosmologie</term>
<term>Limite confiance</term>
<term>Loi puissance</term>
<term>Onde gravitationnelle</term>
<term>Processus gaussien</term>
<term>Processus stochastique</term>
<term>Pulsar</term>
<term>Timing</term>
<term>Trou noir supermassif</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en">
<term>Algorithm</term>
<term>Archival arecibo data</term>
<term>Backer</term>
<term>Bayesian</term>
<term>Bayesian algorithm</term>
<term>Bayesian analysis</term>
<term>Best estimates</term>
<term>Binary</term>
<term>Characteristic strain</term>
<term>Characteristic strain spectrum</term>
<term>Correlation matrices</term>
<term>Cosmic strings</term>
<term>Damour vilenkin</term>
<term>Data analysis</term>
<term>Data sets</term>
<term>Deterministic processes</term>
<term>Different data sets</term>
<term>Different epta observatories</term>
<term>Different observatories</term>
<term>Different radio telescopes</term>
<term>Dispersion measure</term>
<term>Efac</term>
<term>Efac parameter</term>
<term>Efac value</term>
<term>Effelsberg</term>
<term>Effelsberg toas</term>
<term>Epta</term>
<term>Epta data</term>
<term>Epta data sets</term>
<term>Epta telescopes</term>
<term>Equad parameter</term>
<term>Equad parameters</term>
<term>Error bars</term>
<term>Functional form</term>
<term>General relativity</term>
<term>Gravitational waves</term>
<term>Haasteren</term>
<term>Hobbs</term>
<term>Hobbs edwards</term>
<term>Hole binaries</term>
<term>Jaffe backer</term>
<term>Jenet</term>
<term>Large number</term>
<term>Limit calculation</term>
<term>Lovell telescope</term>
<term>Marginalized</term>
<term>Marginalized posteriors</term>
<term>Millisecond pulsars</term>
<term>Mnras</term>
<term>Model parameter</term>
<term>Model parameters</term>
<term>Monthly notices</term>
<term>More pulsars</term>
<term>Multitelescope nature</term>
<term>Nancay radio telescope</term>
<term>Noise amplitude</term>
<term>Noise component</term>
<term>Noise parameters</term>
<term>Observatory</term>
<term>Other pulsars</term>
<term>Other timing model parameters</term>
<term>Parameter</term>
<term>Parameter space</term>
<term>Posterior distribution</term>
<term>Previous section</term>
<term>Probability distribution</term>
<term>Pulsar</term>
<term>Pulsar timing</term>
<term>Pulsar timing observations</term>
<term>Pulse freq</term>
<term>Quantum grav</term>
<term>Radio telescope</term>
<term>Radiometre noise</term>
<term>Residual</term>
<term>Respective volume</term>
<term>Same pulsar</term>
<term>Several telescopes</term>
<term>Single pulsar</term>
<term>Spectral index</term>
<term>Stochastic</term>
<term>Stochastic background</term>
<term>Stochastic processes</term>
<term>Strict periodicity</term>
<term>String tension</term>
<term>Supermassive</term>
<term>Systematic contributions</term>
<term>Telescope</term>
<term>Tempo2</term>
<term>Timing</term>
<term>Timing model</term>
<term>Timing model parameters</term>
<term>Timing noise</term>
<term>Timing residuals</term>
<term>Timing solution</term>
<term>Timing solutions</term>
<term>Toas</term>
<term>Upper limit</term>
<term>Upper limits</term>
<term>Vhlml</term>
<term>Vilenkin</term>
<term>White noise</term>
<term>Wsrt</term>
<term>Wyithe loeb</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr">
<term>Cosmologie</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract" xml:lang="en">Direct detection of low‐frequency gravitational waves (GWs,  Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB) whose characteristic strain is expected to approximately follow a power‐law of the form , where f is the GW frequency. In this paper we use the current data from the European PTA to determine an upper limit on the GWB amplitude A as a function of the unknown spectral slope α with a Bayesian algorithm, by modelling the GWB as a random Gaussian process. For the case α=−2/3, which is expected if the GWB is produced by supermassive black hole binaries, we obtain a 95 per cent confidence upper limit on A of 6 × 10−15, which is 1.8 times lower than the 95 per cent confidence GWB limit obtained by the Parkes PTA in 2006. Our approach to the data analysis incorporates the multitelescope nature of the European PTA and thus can serve as a useful template for future intercontinental PTA collaborations.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Allemagne</li>
<li>Australie</li>
<li>France</li>
<li>Italie</li>
<li>Pays-Bas</li>
<li>Royaume-Uni</li>
<li>États-Unis</li>
</country>
<region>
<li>Angleterre</li>
<li>Californie</li>
<li>Centre-Val de Loire</li>
<li>District de Cologne</li>
<li>Grand Manchester</li>
<li>Hollande-Septentrionale</li>
<li>Rhénanie-du-Nord-Westphalie</li>
<li>Région Centre</li>
</region>
<settlement>
<li>Amsterdam</li>
<li>Bonn</li>
<li>Manchester</li>
<li>Nançay</li>
</settlement>
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<li>Université d'Amsterdam</li>
<li>Université de Manchester</li>
</orgName>
</list>
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<country name="Pays-Bas">
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<name sortKey="Van Haasteren, R" sort="Van Haasteren, R" uniqKey="Van Haasteren R" first="R." last="Van Haasteren">R. Van Haasteren</name>
</noRegion>
<name sortKey="Hessels, J W T" sort="Hessels, J W T" uniqKey="Hessels J" first="J. W. T." last="Hessels">J. W. T. Hessels</name>
<name sortKey="Hessels, J W T" sort="Hessels, J W T" uniqKey="Hessels J" first="J. W. T." last="Hessels">J. W. T. Hessels</name>
<name sortKey="Levin, Y" sort="Levin, Y" uniqKey="Levin Y" first="Y." last="Levin">Y. Levin</name>
<name sortKey="Smits, R" sort="Smits, R" uniqKey="Smits R" first="R." last="Smits">R. Smits</name>
<name sortKey="Stappers, B W" sort="Stappers, B W" uniqKey="Stappers B" first="B. W." last="Stappers">B. W. Stappers</name>
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<name sortKey="Levin, Y" sort="Levin, Y" uniqKey="Levin Y" first="Y." last="Levin">Y. Levin</name>
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<name sortKey="Janssen, G H" sort="Janssen, G H" uniqKey="Janssen G" first="G. H." last="Janssen">G. H. Janssen</name>
</region>
<name sortKey="Kramer, M" sort="Kramer, M" uniqKey="Kramer M" first="M." last="Kramer">M. Kramer</name>
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<name sortKey="Stappers, B W" sort="Stappers, B W" uniqKey="Stappers B" first="B. W." last="Stappers">B. W. Stappers</name>
</country>
<country name="Allemagne">
<region name="Rhénanie-du-Nord-Westphalie">
<name sortKey="Lazaridis, K" sort="Lazaridis, K" uniqKey="Lazaridis K" first="K." last="Lazaridis">K. Lazaridis</name>
</region>
<name sortKey="Jessner, A" sort="Jessner, A" uniqKey="Jessner A" first="A." last="Jessner">A. Jessner</name>
<name sortKey="Kramer, M" sort="Kramer, M" uniqKey="Kramer M" first="M." last="Kramer">M. Kramer</name>
<name sortKey="Verbiest, J P W" sort="Verbiest, J P W" uniqKey="Verbiest J" first="J. P. W." last="Verbiest">J. P. W. Verbiest</name>
</country>
<country name="France">
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<name sortKey="Desvignes, G" sort="Desvignes, G" uniqKey="Desvignes G" first="G." last="Desvignes">G. Desvignes</name>
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<name sortKey="Cognard, I" sort="Cognard, I" uniqKey="Cognard I" first="I." last="Cognard">I. Cognard</name>
<name sortKey="Desvignes, G" sort="Desvignes, G" uniqKey="Desvignes G" first="G." last="Desvignes">G. Desvignes</name>
<name sortKey="Ferdman, R D" sort="Ferdman, R D" uniqKey="Ferdman R" first="R. D." last="Ferdman">R. D. Ferdman</name>
<name sortKey="Ferdman, R D" sort="Ferdman, R D" uniqKey="Ferdman R" first="R. D." last="Ferdman">R. D. Ferdman</name>
<name sortKey="Theureau, G" sort="Theureau, G" uniqKey="Theureau G" first="G." last="Theureau">G. Theureau</name>
<name sortKey="Theureau, G" sort="Theureau, G" uniqKey="Theureau G" first="G." last="Theureau">G. Theureau</name>
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<name sortKey="Desvignes, G" sort="Desvignes, G" uniqKey="Desvignes G" first="G." last="Desvignes">G. Desvignes</name>
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<name sortKey="D Mico, N" sort="D Mico, N" uniqKey="D Mico N" first="N." last="D Mico">N. D Mico</name>
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<name sortKey="Burgay, M" sort="Burgay, M" uniqKey="Burgay M" first="M." last="Burgay">M. Burgay</name>
<name sortKey="Corongiu, A" sort="Corongiu, A" uniqKey="Corongiu A" first="A." last="Corongiu">A. Corongiu</name>
<name sortKey="D Mico, N" sort="D Mico, N" uniqKey="D Mico N" first="N." last="D Mico">N. D Mico</name>
<name sortKey="Possenti, A" sort="Possenti, A" uniqKey="Possenti A" first="A." last="Possenti">A. Possenti</name>
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</affiliations>
</record>

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