Eccentricity of Long Inspiraling Compact Binaries Sheds Light on Dark Sirens

Tao Yang, Rong-Gen Cai, Zhoujian Cao, and Hyung Mok Lee
Phys. Rev. Lett. 129, 191102 – Published 31 October 2022

Abstract

The localization and distance inference of gravitational waves are two crucial factors for dark sirens as precise probes of cosmology, astrophysics, and fundamental physics. In this Letter, for the first time we investigate the parameter estimation of gravitational waves emitted by the eccentric compact binaries in the midfrequency (0.1–10 Hz) band. Based on the configuration of one cluster of DECIGO (B-DECIGO), we simulate five types of typical compact binaries in GWTC-3 with component mass ranging from O(1100)M. For each type of binaries, we assign discrete eccentricities from 0 to 0.4 at 0.1 Hz in 103 random orientations. The multiple harmonics induced by eccentricity can break the degeneracy between parameters. We find that with eccentricity e0=0.4, these typical binaries can achieve O(102104) improvement for the distance inference in the near face-on orientations, compared to the circular case. More importantly, a nonvanishing eccentricity (0.01–0.4) can significantly improve the source localization of the typical binary black holes, most by 1.5–3.5 orders of magnitude. Our result shows the remarkable significance of eccentricity for dark sirens in the midband as precise probes of the Universe.

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  • Received 23 February 2022
  • Revised 22 June 2022
  • Accepted 6 October 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.191102

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Tao Yang1,*, Rong-Gen Cai2,3,4,†, Zhoujian Cao5,4,‡, and Hyung Mok Lee1,§

  • 1Center for the Gravitational-Wave Universe, Astronomy Program Department of Physics and Astronomy, Seoul National University, 1 Gwanak-ro, Gwanak-gu, Seoul 08826, Korea
  • 2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing 100049, China
  • 4School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study (HIAS), University of Chinese Academy of Sciences, Hangzhou 310024, China
  • 5Department of Astronomy, Beijing Normal University, Beijing 100875, China

  • *yangtao.lighink@gmail.com
  • cairg@itp.ac.cn
  • zjcao@bnu.edu.cn
  • §hmlee@snu.ac.kr

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Issue

Vol. 129, Iss. 19 — 4 November 2022

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