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We develop a perturbative approach to redshift space distortions (RSD) using the phase space distribution function approach and apply it to the dark matter redshift space power spectrum and its moments. RSD can be written as a sum over…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Zvonimir Vlah , Uroš Seljak , Patrick McDonald , Teppei Okumura , Tobias Baldauf

We develop a phase space distribution function approach to redshift space distortions (RSD), in which the redshift space density can be written as a sum over velocity moments of the distribution function. These moments are density weighted…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Uros Seljak , Patrick McDonald

Numerical simulations show that redshift space distortions (RSD) introduce strong scale dependence in the power spectra of halos, with ten percent deviations relative to linear theory predictions even on relatively large scales (k<0.1h/Mpc)…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Zvonimir Vlah , Uroš Seljak , Teppei Okumura , Vincent Desjacques

It was recently shown that the power spectrum in redshift space can be written as a sum of cross-power spectra between number weighted velocity moments. We investigate the properties of these power spectra for simulated galaxies and dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Teppei Okumura , Uros Seljak , Vincent Desjacques

The observed power spectrum in redshift space appears distorted due to the peculiar motion of galaxies, known as redshift-space distortions (RSD). While all the effects in RSD are accounted for by the simple mapping formula from real to…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Yong-Seon Song , Yi Zheng , Atsushi Taruya , Minji Oh

Both multi-streaming (random motion) and bulk motion cause the Finger-of-God (FoG) effect in redshift space distortion (RSD). We apply a direct measurement of the multi-streaming effect in RSD from simulations, proving that it induces an…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-14 Yi Zheng , Pengjie Zhang , Minji Oh

We use high-resolution N-body simulations to develop a new, flexible, empirical approach for measuring the growth rate from redshift-space distortions (RSD) in the 2-point galaxy correlation function. We quantify the systematic error in…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-22 Carlos Contreras , Chris Blake , Gregory B. Poole , Felipe Marin

The mapping of dark matter clustering from real space to redshift space introduces the anisotropic property to the measured density power spectrum in redshift space, known as the redshift space distortion effect. The mapping formula is…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Yi Zheng , Yong-Seon Song

Massive spectroscopic redshift surveys open a promising window to accurately measure peculiar velocity at cosmological distances through redshift space distortion (RSD). In paper I of this series of work we proposed to decompose peculiar…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-22 Yi Zheng , Pengjie Zhang , Yipeng Jing , Weipeng Lin , Jun Pan

The redshift-space distortion (RSD) in the observed distribution of galaxies is known as a powerful probe of cosmology. Observations of large-scale RSD have given tight constraints on the linear growth rate of the large-scale structures in…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Motonari Tonegawa , Changbom Park , Yi Zheng , Hyunbae Park , Sungwook E. Hong , Ho Seong Hwang , Juhan Kim

Future high spectroscopic resolution galaxy surveys will observe galaxies with nearly full-sky footprints. Modeling the galaxy clustering for these surveys, therefore, must include the wide-angle effect with narrow redshift binning. In…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-28 Henry S. Grasshorn Gebhardt , Donghui Jeong

We develop a maximum likelihood based method of reconstructing band powers of the density and velocity power spectra at each wavenumber bins from the measured clustering features of galaxies in redshift space, including marginalization over…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Jiayu Tang , Issha Kayo , Masahiro Takada

Theoretical modeling of the redshift-space power spectrum of galaxies is crucially important to correctly extract cosmological information from redshift surveys. The task is complicated by the nonlinear biasing and redshift space distortion…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-26 Teppei Okumura , Nick Hand , Uros Seljak , Zvonimir Vlah , Vincent Desjacques

We explore features of redshift distortion in Fourier analysis of N-body simulations. The phases of the Fourier modes of the dark matter density fluctuation are generally shifted by the peculiar motion along the line of sight, the induced…

Astrophysics · Physics 2014-10-13 Yan-Chuan Cai , Jun Pan

Large-scale HI surveys and their cross-correlations with galaxy distributions have immense potential as cosmological probes. Interpreting these measurements requires theoretical models that must incorporate redshift-space distortions…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-29 Calvin Osinga , Benedikt Diemer , Francisco Villaescusa-Navarro

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

The pairwise velocity generating function $G$ has deep connection with both the pairwise velocity probability distribution function and modeling of redshift space distortion (RSD). Its implementation into RSD modeling is often faciliated by…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Junde Chen , Pengjie Zhang , Yi Zheng

We have investigated the redshift space distortions in the optically selected Durham/UKST Galaxy Redshift Survey using the 2-point galaxy correlation function perpendicular and parallel to the observer's line of sight. We present results…

Astrophysics · Physics 2009-10-30 A. Ratcliffe , T. Shanks , R. Fong , Q. A. Parker

Forward modeling the galaxy density within the Effective Field Theory of Large Scale Structure (EFT of LSS) enables field-level analyses that are robust to theoretical uncertainties. At the same time, they can maximize the constraining…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Julia Stadler , Fabian Schmidt , Martin Reinecke , Matteo Esposito

The mapping of galaxy clustering from real space to redshift space introduces the anisotropic property to the measured galaxy density power spectrum in redshift space, known as the redshift space distortion (RSD) effect. The mapping formula…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Yi Zheng , Yong-Seon Song , Minji Oh
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