Effects of nonquadrupole modes in the detection and parameter estimation
of black hole binaries with nonprecessing spins
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by
Vijay Varma, Parameswaran Ajith
2017
Abstract
We study the effect of nonquadrupolar modes in the detection and parameter
estimation of gravitational waves (GWs) from black hole binaries with
nonprecessing spins, using Advanced LIGO. We evaluate the loss of the
signal-to-noise ratio (SNR) and the systematic errors in the estimated
parameters when a quadrupole-mode template family is used to detect GW signals
with all the relevant modes. Target signals including nonquadrupole modes are
constructed by matching numerical-relativity simulations of nonprecessing black
hole binaries describing the late inspiral, merger and ringdown with
post-Newtonian/effective-one-body waveforms describing the early inspiral. We
find that neglecting nonquadrupole modes will, in general, cause unacceptable
loss in the detection rate and unacceptably large systematic errors in the
estimated parameters, for the case of massive binaries with large mass ratios.
For a given mass ratio, neglecting subdominant modes will result in a larger
loss in the detection rate for binaries with aligned spins. For binaries with
antialigned spins, quadrupole-mode templates are more effectual in detection,
at the cost of introducing a larger systematic bias in the parameter
estimation. We provide a summary of the regions in the parameter space where
neglecting nonquadrupole modes will cause an unacceptable loss of detection
rates and unacceptably large systematic biases in the estimated parameters.
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