Fast Parameter Estimation of Binary Mergers for Multimessenger Follow-up

Significant human and observational resources have been dedicated to electromagnetic follow-up of gravitational-wave events detected by Advanced LIGO and Virgo. As the sensitivity of LIGO and Virgo improves, the rate of sources detected will increase. Margalit & Metzger (2019) have suggested that it may be necessary to prioritize observations of future events. Optimal prioritization requires a rapid measurement of a gravitational-wave event’s masses and spins, as these can determine the nature of any electromagnetic emission. We extend the relative binning method of Cornish (2013) and Zackay et al. (2018) to a coherent detector-network statistic. We show that the method can be seeded from the output of a matched-filter search and used in a Bayesian parameter measurement framework to produce marginalized posterior probability densities for the source’s parameters within 20 minutes of detection on 32 CPU cores. We demonstrate that this algorithm produces unbiased estimates of the parameters with the same accuracy as running parameter estimation using the standard gravitational-wave likelihood. We encourage the adoption of this method in future LIGO–Virgo observing runs to allow fast dissemination of the parameters of detected events so that the observing community can make best use of its resources.

[1]  A. Nitz,et al.  Real-time Search for Compact Binary Mergers in Advanced LIGO and Virgo's Third Observing Run Using PyCBC Live , 2020, The Astrophysical Journal.

[2]  J. R. Palamos,et al.  Sensitivity and performance of the Advanced LIGO detectors in the third observing run , 2020, Physical Review D.

[3]  P. K. Panda,et al.  GW190814: Gravitational Waves from the Coalescence of a 23 M$_\odot$ Black Hole with a 2.6 M$_\odot$ Compact Object , 2020, 2006.12611.

[4]  Duncan A. Brown,et al.  Stringent constraints on neutron-star radii from multimessenger observations and nuclear theory , 2019, Nature Astronomy.

[5]  J. Speagle.  dynesty: a dynamic nested sampling package for estimating Bayesian posteriors and evidences , 2019, Monthly Notices of the Royal Astronomical Society.

[6]  Cody Messick,et al.  A self-consistent method to estimate the rate of compact binary coalescences with a Poisson mixture model , 2019, Classical and Quantum Gravity.

[7]  J. Lattimer.  Impact of GW170817 for the nuclear physics of the EOS and the r-process , 2019 .

[8]  S. Biscoveanu,et al.  The Reliability of the Low-latency Estimation of Binary Neutron Star Chirp Mass , 2019, The Astrophysical Journal.

[9]  B. Metzger,et al.  The Multi-messenger Matrix: The Future of Neutron Star Merger Constraints on the Nuclear Equation of State , 2019, The Astrophysical Journal.

[10]  B. A. Boom,et al.  GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs , 2018 .

[11]  Duncan A. Brown,et al.  PyCBC Inference: A Python-based Parameter Estimation Toolkit for Compact Binary Coalescence Signals , 2018, Publications of the Astronomical Society of the Pacific.

[12]  Samaya Nissanke,et al.  Remnant baryon mass in neutron star-black hole mergers: Predictions for binary neutron star mimickers and rapidly spinning black holes , 2018, Physical Review D.

[13]  Alexander H. Nitz,et al.  Rapid detection of gravitational waves from compact binary mergers with PyCBC Live , 2018, Physical Review D.

[14]  B. A. Boom,et al.  Prospects for observing and localizing gravitational-wave transients with Advanced LIGO, Advanced Virgo and KAGRA , 2013, Living Reviews in Relativity.

[15]  David Blair,et al.  Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A , 2017, 1710.05834.

[16]  B. A. Boom,et al.  GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral. , 2017, Physical review letters.

[17]  L. S. Collaboration,et al.  Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A , 2017 .

[18]  Texas Tech University,et al.  Multi-messenger observations of a binary neutron star merger , 2017, 1710.05833.

[19]  J. K. Blackburn,et al.  A gravitational-wave standard siren measurement of the Hubble constant , 2017, Nature.

[20]  Alexander H. Nitz,et al.  Detecting Binary Compact-object Mergers with Gravitational Waves: Understanding and Improving the Sensitivity of the PyCBC Search , 2017, 1705.01513.

[21]  Michael Boyle,et al.  Improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors , 2016, 1611.03703.

[22]  Cody Messick,et al.  Analysis framework for the prompt discovery of compact binary mergers in gravitational-wave data , 2016, 1604.04324.

[23]  P. Graff,et al.  Early Advanced LIGO binary neutron-star sky localization and parameter estimation , 2016, 1606.01095.

[24]  D Huet,et al.  GW150914: The Advanced LIGO Detectors in the Era of First Discoveries. , 2016, Physical review letters.

[25]  Michael Purrer,et al.  Frequency-domain gravitational waves from nonprecessing black-hole binaries. II. A phenomenological model for the advanced detector era , 2015, 1508.07253.

[26]  Michael Purrer,et al.  Frequency-domain gravitational waves from nonprecessing black-hole binaries. I. New numerical waveforms and anatomy of the signal , 2015, 1508.07250.

[27]  Matthew West,et al.  The PyCBC search for gravitational waves from compact binary coalescence , 2015, 1508.02357.

[28]  Leo P. Singer,et al.  WHOOMP! (There it is): Rapid Bayesian position reconstruction for gravitational-wave transients , 2015 .

[29]  P. Graff,et al.  PARAMETER ESTIMATION ON GRAVITATIONAL WAVES FROM NEUTRON-STAR BINARIES WITH SPINNING COMPONENTS , 2015, 1508.05336.

[30]  C. Broeck,et al.  Advanced Virgo: a second-generation interferometric gravitational wave detector , 2014, 1408.3978.

[31]  F. Barone,et al.  Advanced Virgo: a 2nd generation interferometric gravitational wave detector , 2014 .

[32]  Chris L. Fryer,et al.  WHEN CAN GRAVITATIONAL-WAVE OBSERVATIONS DISTINGUISH BETWEEN BLACK HOLES AND NEUTRON STARS? , 2013, 1301.5616.

[33]  B. Iyer,et al.  The third and a half-post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries , 2012, 1204.1043.

[34]  T. Damour,et al.  Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals , 2012, 1203.4352.

[35]  Bruce Allen,et al.  FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries , 2005, gr-qc/0509116.

[36]  S. Fairhurst.  Triangulation of gravitational wave sources with a network of detectors , 2009, 0908.2356.

[37]  S. Fairhurst.  Triangulation of gravitational wave sources with a network of detectors , 2009 .

[38]  W. Anderson,et al.  Excess power statistic for detection of burst sources of gravitational radiation , 2000, gr-qc/0008066.

[39]  B. Owen,et al.  Gravitational waves from inspiraling compact binaries: Validity of the stationary-phase approximation to the Fourier transform , 1999, gr-qc/9901076.

[40]  Blanchet,et al.  Gravitational-radiation damping of compact binary systems to second post-Newtonian order. , 1995, Physical review letters.

[41]  Flanagan,et al.  Gravitational waves from merging compact binaries: How accurately can one extract the binary's parameters from the inspiral waveform? , 1994, Physical review. D, Particles and fields.

[42]  B. Sathyaprakash,et al.  Choice of filters for the detection of gravitational waves from coalescing binaries. II. Detection in colored noise. , 1994, Physical review. D, Particles and fields.

[43]  L. Finn,et al.  Gravitational radiation, inspiraling binaries, and cosmology , 1993, gr-qc/9304020.

[44]  Finn,et al.  Observing binary inspiral in gravitational radiation: One interferometer. , 1993, Physical review. D, Particles and fields.

[45]  J. Mathews,et al.  Gravitational radiation from point masses in a Keplerian orbit , 1963 .

[46]  F. Massey.  The Kolmogorov-Smirnov Test for Goodness of Fit , 1951 .