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Other version: http://stacks.iop.org/14757516/2012/i=11/a=014?key=crossref.19dd1e30ba13342d9cd97316949ff33b
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Distribution function approach to redshift space distortions. Part III: halos and galaxies 

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Published in  Journal of Cosmology and Astroparticle Physics. 2012, vol. 2012, no. 11, p. 014014  
Abstract  It was recently shown that the power spectrum in redshift space can be written as a sum of crosspower spectra between number weighted velocity moments. We investigate the properties of these power spectra for simulated galaxies and dark matter halos and compare them to the dark matter power spectra, generalizing the concept of the bias. Because all of the quantities are number weighted this approach is well defined even for sparse systems such as massive halos, in contrasts to the previous approaches to RSD where velocity correlations have been explored. We find that the number density weighting leads to a strong scale dependence of the bias terms for momentum density autocorrelation and crosscorrelation with density. This trend becomes more significant for the more biased halos and leads to an enhancement of RSD power relative to the linear theory. Fingersofgod effects, which in this formalism come from the correlations of the higher order moments beyond the momentum density, lead to smoothing of the power spectrum and can reduce this enhancement of power, but are relatively small for halos with no smallscale velocity dispersion. In comparison, for a more realistic galaxy sample with satellites the velocity dispersion generated by satellite motions inside the halos leads to a larger power suppression on small scales, but this depends on the satellite fraction. We investigate several statistics such as the twodimensional power spectrum, its multipole moments, its powers of mu^2, and configuration space statistics. Overall we find that the nonlinear effects in realistic galaxy samples such as luminous red galaxies affect the redshift space clustering on very large scales: for example, the quadrupole moment is affected by 10% for k<0.1h/mpc, which means that these effects need to be understood if we want to extract cosmological information from the redshift space distortions.  
Keywords  Power spectrum — Galaxy clustering — Redshift surveys  
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Note  28 pages, 12 figures  
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Citation (ISO format)  OKUMURA, Teppei, SELJAK, Uroš, DESJACQUES, Vincent. Distribution function approach to redshift space distortions. Part III: halos and galaxies. In: Journal of Cosmology and Astroparticle Physics, 2012, vol. 2012, n° 11, p. 014014. https://archiveouverte.unige.ch/unige:35134 