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    Subtracting compact binary foregrounds utilizing anisotropic statistic for third-generation gravitational-wave detectors

    Soichiro Kuwahara1, Atsushi Nishizawa2,3,*, and Lorenzo Valbusa Dall’Armi4,5

    • 1Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan
    • 2Physics Program, Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526, Japan
    • 3Astrophysical Science Center, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8526, Japan
    • 4Dipartimento di Fisica “Enrico Fermi,” Università di Pisa, Largo Bruno Pontecorvo 3, Pisa I-56127, Italy
    • 5INFN, Sezione di Pisa, Largo Bruno Pontecorvo 3, Pisa I-56127, Italy

    • *Contact author: atnishi@hiroshima-u.ac.jp

    Phys. Rev. D 113, 103550 – Published 29 May, 2026

    DOI: https://doi.org/10.1103/svqr-7ppq

    Abstract

    The astrophysical foreground from compact binary coalescence signals is expected to be a dominant part of total gravitational-wave (GW) energy density in the frequency band of the third-generation detectors. The detection of any other subdominant stochastic GW background (GWB), especially a primordial GWB, will be disturbed by the astrophysical foreground. Although previous studies have proposed several cleaning methods, the foreground from subthreshold binary neutron stars (BNSs) has been a major obstacle to remove. In this paper, we propose the novel idea to better estimate the unresolved foreground, by using the information about its anisotropies. We simulate the BNS population and compute its angular power spectrum and shot noise. We find that the shot noise from BNSs is too faint to observe after subtracting loud signals due to the limited angular resolution of the third-generation detectors. This justifies the approximation regarding the unresolved foreground as an isotropic component. We also discuss the angular resolution necessary to make our method valid for the foreground subtraction.

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