期刊
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
卷 484, 期 1, 页码 364-384出版社
OXFORD UNIV PRESS
DOI: 10.1093/mnras/sty3249
关键词
dark matter; large-scale structure of Universe; cosmology: observations; cosmology: theory
资金
- JSPS KAKENHI [JP15H05896]
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0014329]
- [28-1890]
- STFC [ST/M002853/1, ST/N000668/1] Funding Source: UKRI
- U.S. Department of Energy (DOE) [DE-SC0014329] Funding Source: U.S. Department of Energy (DOE)
To fully extract cosmological information from non-linear galaxy distribution in redshift space, it is essential to include higher-order statistics beyond the two-point correlation function. In this paper, we propose a new decomposition formalism for computing the anisotropic bispectrum in redshift space and for measuring it from galaxy samples. Our formalism uses tri-polar spherical harmonic decomposition with zero total angular momentum to compress the 3D modes distribution in the redshift-space bispectrum. This approach preserves three fundamental properties of the Universe - statistical homogeneity, isotropy, and parity-symmetry - allowing us to efficiently separate the anisotropic signal induced by redshift-space distortions (RSDs) and the Alcock-Paczyfiski (AP) effect from the isotropic bispectrum. The relevant expansion coefficients in terms of the anisotropic signal are reduced to one multipole index L, and the L > 0 modes are induced only by the RSD or AP effects. Our formalism has two advantages: (1) we can make use of Fast Fourier Transforms to measure the bispectrum and (2) it gives a simple expression to correct for the survey geometry, i.e. the survey window function. As a demonstration, we measure the decomposed bispectrum from the Baryon Oscillation Spectroscopic Survey (BOSS) Data Release 12, and, for the first time, present a 14 sigma detection of the anisotropic bispectrum in the L = 2 mode.
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