Tanaka-Tagoshi Parametrization of post-1PN Spin-Free Gravitational Wave Chirps: Equispaced and Cardinal Interpolated Lattices For First Generation Interferometric Antennas

TL;DR

This paper demonstrates that the Tanaka-Tagoshi parametrization effectively extends to all first-generation interferometric gravitational wave detectors, enabling efficient template bank construction with reduced computational cost at higher PN orders.

Contribution

The authors extend the Tanaka-Tagoshi parametrization to all first-generation detectors and higher PN orders, improving template bank efficiency and reducing computational requirements.

Findings

Number of 2PN templates reduced by factor 4

Effective for all first-generation interferometers

Extends to highest available PN order

Abstract

The spin-free binary-inspiral parameter-space introduced by Tanaka and Tagoshi to construct a uniformly-spaced lattice of templates at (and possibly beyond) $2.5PN$ order is shown to work for all first generation interferometric gravitational wave antennas. This allows to extend the minimum-redundant cardinal interpolation techniques of the correlator bank developed by the Authors to the highest available order PN templates. The total number of 2PN templates to be computed for a minimal match $\Gamma=0.97$ is reduced by a factor 4, as in the 1PN case.