Gravitational-wave observations of binary black holes: Effect of non-quadrupole modes
arXiv:1409.2349 · doi:10.1103/PhysRevD.90.124004
Abstract
We study the effect of non-quadrupolar modes in the detection and parameter estimation of gravitational waves (GWs) from non-spinning black-hole binaries. We evaluate the loss of signal-to-noise ratio and the systematic errors in the estimated parameters when one uses a quadrupole-mode template family to detect GW signals with all the relevant modes, for target signals with total masses and mass ratios . Target signals are constructed by matching numerical-relativity simulations describing the late inspiral, merger and ringdown of the binary with post-Newtonian/effective-one-body waveforms describing the early inspiral. We find that waveform templates modeling only the quadrupolar modes of the GW signal are sufficient (loss of detection rate ) for the detection of GWs with mass ratios using advanced GW observatories. Neglecting the effect of non-quadrupole modes will introduce systematic errors in the estimated parameters. The systematic errors are larger than the expected statistical errors for binaries with large, unequal masses (), for sky-averaged signal-to-noise ratios larger than . We provide a summary of the regions in the parameter space where neglecting non-quadrupole modes will cause unacceptable loss of detection rates and unacceptably large systematic biases in the estimated parameters.
arXiv comment11 pages, 9 figures, submitted to Phys. Rev. D
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