Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914991417851904 |
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| author | Wen, Robin Y. Gebhardt, Henry S. Grasshorn Heinrich, Chen Doré, Olivier |
| author_facet | Wen, Robin Y. Gebhardt, Henry S. Grasshorn Heinrich, Chen Doré, Olivier |
| contents | The three-dimensional galaxy power spectrum is a powerful probe of primordial non-Gaussianity and additional general relativistic effects, which become important on large scales. At the same time, wide-angle (WA) effects due to differing lines-of-sight (LOS) on the curved sky also become important with large angular separation. In this work, we accurately model WA and Doppler effects using the spherical Fourier-Bessel (SFB) formalism, before transforming the result into the commonly used power spectrum multipoles (PSM). This mapping from the SFB power spectrum to PSM represents a new way to non-perturbatively model WA and GR effects present in the PSM, which we validate with log-normal mocks. Moreover, for the first time, we can compute the analytical PSM Gaussian covariance on large scales, exactly including WA-induced mode-couplings, without resorting to any plane-parallel approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis Wen, Robin Y. Gebhardt, Henry S. Grasshorn Heinrich, Chen Doré, Olivier Cosmology and Nongalactic Astrophysics The three-dimensional galaxy power spectrum is a powerful probe of primordial non-Gaussianity and additional general relativistic effects, which become important on large scales. At the same time, wide-angle (WA) effects due to differing lines-of-sight (LOS) on the curved sky also become important with large angular separation. In this work, we accurately model WA and Doppler effects using the spherical Fourier-Bessel (SFB) formalism, before transforming the result into the commonly used power spectrum multipoles (PSM). This mapping from the SFB power spectrum to PSM represents a new way to non-perturbatively model WA and GR effects present in the PSM, which we validate with log-normal mocks. Moreover, for the first time, we can compute the analytical PSM Gaussian covariance on large scales, exactly including WA-induced mode-couplings, without resorting to any plane-parallel approximations. |
| title | Exact Modeling of Power Spectrum Multipole through Spherical Fourier-Bessel Basis |
| topic | Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2404.04812 |