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Gravitational waves from compact binary coalescence sources can be decomposedinto spherical-harmonic multipoles, the dominant being the quadrupole ($\ell=2,m=\pm2$) modes. The contribution of sub-dominant modes towards total signalpower increases with increasing binary mass ratio and source inclination to thedetector. It is well-known that in these cases neglecting higher modes couldlead to measurement biases, but these have not yet been quantified with ahigher-mode model that includes spin effects. In this study, we use themulti-mode aligned-spin phenomenological waveform model IMRPhenomHM toinvestigate the effects of including multi-mode content in estimating sourceparameters and contrast the results with using a quadrupole-only model(IMRPhenomD). We use as sources IMRPhenomHM and hybrid EOB-NR waveforms over arange of mass-ratio and inclination combinations, and recover the parameterswith IMRPhenomHM and IMRPhenomD. These allow us to quantify the accuracy ofparameter measurements using a multi-mode model, the biases incurred when usinga quadrupole-only model to recover full (multi-mode) signals, and thesystematic errors in the IMRPhenomHM model. We see that the parametersrecovered by multi-mode templates are more precise for all non-zeroinclinations as compared to quadrupole templates. For multi-mode injections,IMRPhenomD recovers biased parameters for non-zero inclinations with lowerlikelihood while IMRPhenomHM recovered parameters are accurate for most cases,and if a bias exists, it can be explained as a combined effect of observationalpriors and (in the case of hybrid-NR signals) waveform inaccuracies. For caseswhere IMRPhenomHM recovers biased parameters, the bias is always smaller thanthe corresponding IMRPhenomD recovery, and we conclude that IMRPhenomHM will besufficiently accurate to allow unbiased measurements for most GW observations.

Parameter Estimation with a spinning multi-mode waveform model: IMRPhenomHM