Efficiency of template banks for binary black-hole detection

In the framework of matched filtering theory, which is the most promising method for the detection of gravitational waves emitted by coalescing binaries, we report on the ability of a template bank to catch a simulated binary black-hole gravitational wave signal. If we suppose that the incoming signal waveform is known a priori, then both the (simulated) signal and the templates can be based on the same physical model and therefore the template bank can be optimal in the sense of Wiener filtering. This turns out to be true for the case of neutron star binaries but not necessarily for the black-hole case. When the templates and the signal are based on different physical models the detection bank may still remain efficient. Nonetheless, it might be a judicious choice to use a phenomenological template family such as the so-called BCV templates to catch all the different physical models. In the first part of that report, we illustrate in a non-exhaustive study, by using Monte Carlo simulations, the efficiency of a template bank based on the stationary phase approximation and show how it catches simulated signals based on the same physical model but fails to catch signals built using other models (Fade, EOB,...) especially in the case of high mass binaries. In the second part, we construct a BCV-template bank and test its validity by injecting simulated signals based on different physical models such as the PN-approximants, Padé-approximant and the effective one-body method. We show that it is suitable for a search pipeline since it gives a match higher than 95% for all the different physical models. The range of individual mass which has been used is [3-20]M_⊙.