Image de couverture de livre

Window convolution of the galaxy clustering bispectrum

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteurs principaux:	Wang, Mike Shengbo, Beutler, Florian, Aguilar, J., Ahlen, S., Bianchi, D., Brooks, D., Claybaugh, T., de la Macorra, A., Doel, P., Font-Ribera, A., Gaztañaga, E., Gutierrez, G., Honscheid, K., Howlett, C., Kirkby, D., Lambert, A., Landriau, M., Miquel, R., Niz, G., Prada, F., Pérez-Ràfols, I., Rossi, G., Sanchez, E., Schlegel, D., Schubnell, M., Sprayberry, D., Tarlé, G., Weaver, B. A.
Format:	Preprint
Publié:	2024
Sujets:	Cosmology and Nongalactic Astrophysics
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

_version_	1866908412943532032
author	Wang, Mike Shengbo Beutler, Florian Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gutierrez, G. Honscheid, K. Howlett, C. Kirkby, D. Lambert, A. Landriau, M. Miquel, R. Niz, G. Prada, F. Pérez-Ràfols, I. Rossi, G. Sanchez, E. Schlegel, D. Schubnell, M. Sprayberry, D. Tarlé, G. Weaver, B. A.
author_facet	Wang, Mike Shengbo Beutler, Florian Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gutierrez, G. Honscheid, K. Howlett, C. Kirkby, D. Lambert, A. Landriau, M. Miquel, R. Niz, G. Prada, F. Pérez-Ràfols, I. Rossi, G. Sanchez, E. Schlegel, D. Schubnell, M. Sprayberry, D. Tarlé, G. Weaver, B. A.
contents	In galaxy survey analysis, the observed clustering statistics do not directly match theoretical predictions but rather have been processed by a window function that arises from the survey geometry including the sky footprint, redshift-dependent background number density and systematic weights. While window convolution of the power spectrum is well studied, for the bispectrum with a larger number of degrees of freedom, it poses a significant numerical and computational challenge. In this work, we consider the effect of the survey window in the tripolar spherical harmonic decomposition of the bispectrum and lay down a formal procedure for their convolution via a series expansion of configuration-space three-point correlation functions, which was first proposed by Sugiyama et al. (2019). We then provide a linear algebra formulation of the full window convolution, where an unwindowed bispectrum model vector can be directly premultiplied by a window matrix specific to each survey geometry. To validate the pipeline, we focus on the Dark Energy Spectroscopic Instrument (DESI) Data Release 1 (DR1) luminous red galaxy (LRG) sample in the South Galactic Cap (SGC) in the redshift bin $0.4 \leqslant z \leqslant 0.6$. We first perform convergence checks on the measurement of the window function from discrete random catalogues, and then investigate the convergence of the window convolution series expansion truncated at a finite of number of terms as well as the performance of the window matrix. This work highlights the differences in window convolution between the power spectrum and bispectrum, and provides a streamlined pipeline for the latter for current surveys such as DESI and the Euclid mission.
format	Preprint
id	arxiv_https___arxiv_org_abs_2411_14947
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Window convolution of the galaxy clustering bispectrum Wang, Mike Shengbo Beutler, Florian Aguilar, J. Ahlen, S. Bianchi, D. Brooks, D. Claybaugh, T. de la Macorra, A. Doel, P. Font-Ribera, A. Gaztañaga, E. Gutierrez, G. Honscheid, K. Howlett, C. Kirkby, D. Lambert, A. Landriau, M. Miquel, R. Niz, G. Prada, F. Pérez-Ràfols, I. Rossi, G. Sanchez, E. Schlegel, D. Schubnell, M. Sprayberry, D. Tarlé, G. Weaver, B. A. Cosmology and Nongalactic Astrophysics In galaxy survey analysis, the observed clustering statistics do not directly match theoretical predictions but rather have been processed by a window function that arises from the survey geometry including the sky footprint, redshift-dependent background number density and systematic weights. While window convolution of the power spectrum is well studied, for the bispectrum with a larger number of degrees of freedom, it poses a significant numerical and computational challenge. In this work, we consider the effect of the survey window in the tripolar spherical harmonic decomposition of the bispectrum and lay down a formal procedure for their convolution via a series expansion of configuration-space three-point correlation functions, which was first proposed by Sugiyama et al. (2019). We then provide a linear algebra formulation of the full window convolution, where an unwindowed bispectrum model vector can be directly premultiplied by a window matrix specific to each survey geometry. To validate the pipeline, we focus on the Dark Energy Spectroscopic Instrument (DESI) Data Release 1 (DR1) luminous red galaxy (LRG) sample in the South Galactic Cap (SGC) in the redshift bin $0.4 \leqslant z \leqslant 0.6$. We first perform convergence checks on the measurement of the window function from discrete random catalogues, and then investigate the convergence of the window convolution series expansion truncated at a finite of number of terms as well as the performance of the window matrix. This work highlights the differences in window convolution between the power spectrum and bispectrum, and provides a streamlined pipeline for the latter for current surveys such as DESI and the Euclid mission.
title	Window convolution of the galaxy clustering bispectrum
topic	Cosmology and Nongalactic Astrophysics
url	https://arxiv.org/abs/2411.14947