A comparison of search templates for gravitational waves from binary inspiral — 3.5PN update

In this note we update Tables I and II in Ref. [1] (henceforth referred to as DIS3) in view of the recent theoretical progress made in the dynamics of, and radiation from, binary systems to 3.5PN order [2, 3, 4, 5]. Before giving a comprehensive list of the corresponding updates, we take this opportunity to correct some misprints in Ref. [1]. Results in [1] are not changed since they used the correct formulas free of the misprints below. The expansion coefficients in Table I and Table II of DIS3, are all Newton-normalised coefficients. In the notation of the paper, there should be overhats on all these coefficients, except ek (that is, Êk, F̂k, t̂ v k, φ̂ v k, φ̂ t k, F̂ t k, and τ̂k). The coefficients t̂ v 5 , F̂ t 5 and τ̂2 in Table II (which were correct in the eprint version) contain typographical errors in the published version of DIS3. Their correct expressions are: