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Gravitational-wave signals from compact binary coalescences are mostefficiently identified through matched filter searches, which match the dataagainst a pre-generated bank of gravitational-wave templates. Althoughdifferent techniques for performing the matched filter, as well as generatingthe template bank, exist, currently all modelled gravitational-wave searchesuse templates that restrict the component spins to be aligned (or anti-aligned)with the orbital angular momentum. This means that current searches are lesssensitive to gravitational-wave signals generated from binaries with genericspins (precessing), suggesting that, potentially, a significant fraction ofsignals may remain undetected. In this work we introduce a matched filtersearch that is sensitive to signals generated from precessing binaries and canrealistically be used during a gravitational-wave observing run. We takeadvantage of the fact that a gravitational-wave signal from a precessing binarycan be decomposed into a power series of five harmonics, to show that ageneric-spin template bank, which is only $\sim 3\times$ larger than existingaligned-spin banks, is needed to increase our sensitive volume by $\sim 100\%$for neutron star black hole binaries with total mass larger than $17.5\,M_{\odot}$ and in-plane spins $>0.67$. In fact, our generic spin searchperforms as well as existing aligned-spin searches for neutron star black holesignals with insignificant in-plane spins, but improves sensitivity by$\sim60\%$ on average across the full generic spin parameter space. Weanticipate that this improved technique will identify significantly moregravitational-wave signals, and, ultimately, help shed light on the unknownspin distribution of binaries in the universe.

A search technique to observe precessing compact binary mergers in the advanced detector era