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Gravitational wave searches to date have largely focused on non-precessingsystems. Including precession effects greatly increases the number of templatesto be searched over. This leads to a corresponding increase in thecomputational cost and can increase the false alarm rate of a realistic search.On the other hand, there might be astrophysical systems that are entirelymissed by non-precessing searches. In this paper we consider the problem ofconstructing a template bank using stochastic methods forneutron-star--black-hole binaries allowing for precession, but with therestrictions that the orientation of the total angular momentum of the binaryis pointing towards the detector and that the neutron-star spin is negligiblerelative to that of the black-hole. We quantify the number of templatesrequired for the search, and we explicitly construct the template bank. We showthat despite the large number of templates, stochastic methods can be adaptedto solve the problem. We quantify the parameter space region over which thenon-precessing search might miss signals.

A stochastic template bank for gravitational wave searches for precessing neutron-star--black-hole coalescence events