Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms

TL;DR

This paper develops a prototype effective-one-body model for nonprecessing spinning black-hole binaries, calibrated with numerical relativity data, capable of generating accurate inspiral-merger-ringdown waveforms across a wide parameter space for gravitational wave detection.

Contribution

The paper introduces a new prototype EOB model for nonprecessing spinning black-hole binaries, combining calibration with numerical relativity and Teukolsky equation results, extending waveform generation capabilities.

Findings

Mismatch below 0.003 for total mass 20-200 M_

Model accurately reproduces waveforms for spins up to  0.7

Identifies improvements needed for high-spin cases

Abstract

We first use five non-spinning and two mildly spinning (chi_i \simeq -0.44, +0.44) numerical-relativity waveforms of black-hole binaries and calibrate an effective-one-body (EOB) model for non-precessing spinning binaries, notably its dynamics and the dominant (2,2) gravitational-wave mode. Then, we combine the above results with recent outcomes of small-mass-ratio simulations produced by the Teukolsky equation and build a prototype EOB model for detection purposes, which is capable of generating inspiral-merger-ringdown waveforms for non-precessing spinning black-hole binaries with any mass ratio and individual black-hole spins -1 \leq chi_i \lesssim 0.7. We compare the prototype EOB model to two equal-mass highly spinning numerical-relativity waveforms of black holes with spins chi_i = -0.95, +0.97, which were not available at the time the EOB model was calibrated. In the case of Advanced LIGO we find that the mismatch between prototype-EOB and numerical-relativity waveforms is always smaller than 0.003 for total mass 20-200 M_\odot, the mismatch being computed by maximizing only over the initial phase and time. To successfully generate merger waveforms for individual black-hole spins chi_i \gtrsim 0.7, the prototype-EOB model needs to be improved by (i) better modeling the plunge dynamics and (ii) including higher-order PN spin terms in the gravitational-wave modes and radiation-reaction force.