Bispectrum-window convolution via Hankel transform
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866911980783140864 |
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| author | Pardede, Kevin Rizzo, Federico Biagetti, Matteo Castorina, Emanuele Sefusatti, Emiliano Monaco, Pierluigi |
| author_facet | Pardede, Kevin Rizzo, Federico Biagetti, Matteo Castorina, Emanuele Sefusatti, Emiliano Monaco, Pierluigi |
| contents | 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 $100\, h^{-3} \, {\rm Gpc}^3$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_04174 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bispectrum-window convolution via Hankel transform Pardede, Kevin Rizzo, Federico Biagetti, Matteo Castorina, Emanuele Sefusatti, Emiliano Monaco, Pierluigi Cosmology and Nongalactic Astrophysics 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 $100\, h^{-3} \, {\rm Gpc}^3$. 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. |
| title | Bispectrum-window convolution via Hankel transform |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2203.04174 |