In this work we reformulate the forward modelling of the redshift-space power spectrum multipole moments for a masked density field, as encountered in galaxy redshift surveys. Exploiting the symmetries of the redshift-space correlation function, we provide a masked-field generalisation of the Hankel transform relation between the multipole moments in real and Fourier space. Using this result, we detail how a likelihood analysis requiring computation for a broad range of desired P(k) models may be executed 103−104 times faster than with other common approaches, together with significant gains in spectral resolution. We present a concrete application to the complex angular geometry of the VIPERS PDR-1 release and discuss the validity of this technique for finite-angle surveys.
@article{arxiv.1511.07799,
title = {Rapid modelling of the redshift-space power spectrum multipoles for a masked density field},
author = {Michael J. Wilson and John A. Peacock and Andy N. Taylor and Sylvain de la Torre},
journal= {arXiv preprint arXiv:1511.07799},
year = {2017}
}