Targeted search for the stochastic gravitational-wave background from the galactic millisecond pulsar population

Suresh ., Jishnu;et.al.
(2022) Physical review D — Vol. 106 (2022)

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  • Suresh ., JishnuUCLouvain
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Abstract
The millisecond pulsars, old-recycled objects spinning with high frequency <math display="inline"><mrow><mi mathvariant="script">O</mi></mrow></math> (kHz) sustaining the deformation from their spherical shape, may emit gravitational waves (GW). These are one of the potential candidates contributing to the anisotropic stochastic gravitational-wave background (SGWB) observable in the ground-based GW detectors. Here, we present the results from a likelihood-based targeted search for the SGWB due to millisecond pulsars in the Milky Way, by analyzing the data from the first three observing runs of Advanced LIGO and Advanced Virgo detector. We assume that the shape of SGWB power spectra and the sky distribution is known a priori from the population synthesis model. The information of the ensemble source properties, i.e., the in-band number of pulsars, <math display="inline"><msub><mi>N</mi><mrow><mi>obs</mi></mrow></msub></math> and the averaged ellipticity, <math display="inline"><msub><mi>μ</mi><mi>ε</mi></msub></math> is encoded in the maximum likelihood statistic. We do not find significant evidence for the SGWB signal from the considered source population. The best Bayesian upper limit with 95% confidence for the parameters are <math display="inline"><mrow><msub><mrow><mi>N</mi></mrow><mrow><mi>obs</mi></mrow></msub><mo>≤</mo><mn>8.8</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></math> and <math display="inline"><msub><mi>μ</mi><mi>ϵ</mi></msub><mo>≤</mo><mn>1.4</mn><mo>×</mo><mn>1</mn><msup><mn>0</mn><mrow><mo>-</mo><mn>6</mn></mrow></msup></math>, which is comparable to the bounds on mean ellipticity with the GW observations of the individual pulsars. Finally, we show that for the plausible case of <math display="inline"><msub><mi>N</mi><mrow><mi>obs</mi></mrow></msub><mo>=</mo><mn>40000</mn></math>, with the one year of observations, the one-sigma sensitivity on <math display="inline"><msub><mi>μ</mi><mi>ε</mi></msub></math> might reach <math display="inline"><mn>1.5</mn><mo>×</mo><mn>1</mn><msup><mn>0</mn><mrow><mo>-</mo><mn>7</mn></mrow></msup></math> and <math display="inline"><mn>4.1</mn><mo>×</mo><mn>1</mn><msup><mn>0</mn><mrow><mo>-</mo><mn>8</mn></mrow></msup></math> for the second-generation detector network having <math display="inline"><mrow><mi mathvariant="normal">A</mi><mo>+</mo></mrow></math> sensitivity and third-generation detector network, respectively.
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Suresh ., J., & et al. (2022). Targeted search for the stochastic gravitational-wave background from the galactic millisecond pulsar population. Physical review D, 106. https://doi.org/10.1103/PhysRevD.106.043019 (Original work published 2022)