Matched filtering and parameter estimation of ringdown waveforms

Emanuele Berti, Jaime Cardoso, Vitor Cardoso, and Marco Cavaglià
Phys. Rev. D 76, 104044 – Published 27 November 2007

Abstract

Using recent results from numerical relativity simulations of nonspinning binary black hole mergers, we revisit the problem of detecting ringdown waveforms and of estimating the source parameters, considering both LISA and Earth-based interferometers. We find that Advanced LIGO and EGO could detect intermediate-mass black holes of mass up to 103M out to a luminosity distance of a few Gpc. For typical multipolar energy distributions, we show that the single-mode ringdown templates presently used for ringdown searches in the LIGO data stream can produce a significant event loss (>10% for all detectors in a large interval of black hole masses) and very large parameter estimation errors on the black hole’s mass and spin. We estimate that more than 106 templates would be needed for a single-stage multimode search. Therefore, we recommend a “two-stage” search to save on computational costs: single-mode templates can be used for detection, but multimode templates or Prony methods should be used to estimate parameters once a detection has been made. We update estimates of the critical signal-to-noise ratio required to test the hypothesis that two or more modes are present in the signal and to resolve their frequencies, showing that second-generation Earth-based detectors and LISA have the potential to perform no-hair tests.

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  • Received 11 July 2007

DOI:https://doi.org/10.1103/PhysRevD.76.104044

©2007 American Physical Society

Authors & Affiliations

Emanuele Berti*

  • McDonnell Center for the Space Sciences, Department of Physics, Washington University, St. Louis, Missouri 63130, USA

Jaime Cardoso

  • INESC Porto, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal

Vitor Cardoso

  • Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677-1848, USA

Marco Cavaglià§

  • Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677-1848, USA

  • *berti@wugrav.wustl.edu
  • jaime.cardoso@inescporto.pt
  • Also at Centro de Física Computacional, Universidade de Coimbra, P-3004-516 Coimbra, Portugal. vcardoso@phy.olemiss.edu
  • §cavaglia@phy.olemiss.edu

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Issue

Vol. 76, Iss. 10 — 15 November 2007

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