We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function. We extend a widely applied method for the power spectrum convolution to the bispectrum, taking advantage of a 2D-FFTlog algorithm. As a preliminary test of its accuracy, we consider the toy model of a spherical window function in real space. This setup provides an analytical evaluation of the 3-point function of the window, and therefore it allows to isolate and quantify possible systematic errors of the method. We find that our implementation of the convolution in terms of a mixing matrix shows differences at the percent level in comparison to the measurements from a very large set of mock halo catalogs. It is also able to recover unbiased constraints on halo bias parameters in a likelihood analysis of a set of numerical simulations with a total volume of 100 h -3 Gpc3. For the level of accuracy required by these tests, the multiplication with the mixing matrix is performed in the time of one second or less.

Bispectrum-window convolution via Hankel transform / K. Pardede, F. Rizzo, M. Biagetti, E. Castorina, E. Sefusatti, P. Monaco. - In: JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS. - ISSN 1475-7516. - 2022:10(2022 Oct 21), pp. 66.1-66.37. [10.1088/1475-7516/2022/10/066]

Bispectrum-window convolution via Hankel transform

E. Castorina;
2022

Abstract

We present a method to perform the exact convolution of the model prediction for bispectrum multipoles in redshift space with the survey window function. We extend a widely applied method for the power spectrum convolution to the bispectrum, taking advantage of a 2D-FFTlog algorithm. As a preliminary test of its accuracy, we consider the toy model of a spherical window function in real space. This setup provides an analytical evaluation of the 3-point function of the window, and therefore it allows to isolate and quantify possible systematic errors of the method. We find that our implementation of the convolution in terms of a mixing matrix shows differences at the percent level in comparison to the measurements from a very large set of mock halo catalogs. It is also able to recover unbiased constraints on halo bias parameters in a likelihood analysis of a set of numerical simulations with a total volume of 100 h -3 Gpc3. For the level of accuracy required by these tests, the multiplication with the mixing matrix is performed in the time of one second or less.
cosmological parameters from LSS; dark energy experiments; galaxy clustering; redshift surveys;
Settore FIS/05 - Astronomia e Astrofisica
   Cosmology and Fundamental Physics: illuminating the Dark Universe with Euclid
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2015W7KAWC_004
21-ott-2022
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1025730
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