Rapid modelling of the redshift-space power spectrum multipoles for a masked density field

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 generalization of the Hanke...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2017-01, Vol.464 (3), p.3121-3121
Main Authors: Wilson, M J, Peacock, J A, Taylor, A N, delaTorre, S
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics
Correlation analysis
Density
Fourier analysis
Gain
Galaxies
Mathematical analysis
Multipoles
Physics
Red shift
Spectral resolution
Star & galaxy formation
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Summary: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 generalization 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 10 super( 3)-10 super( 4) 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 VIMOS Public Extragalactic Redshift Survey PDR-1 release and discuss the validity of this technique for finite-angle surveys.
ISSN:0035-8711
1365-2966
DOI:10.1093/mnras/stw2576