The effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies
arXiv:1602.09059 · doi:10.1103/PhysRevD.94.063508
Abstract
Pre-recombination acoustic oscillations induce non-adiabatic perturbations between baryons and dark matter, corresponding to a constant relative-density and decaying relative-velocity perturbation . Due to their significant large-scale correlations and prominent baryon acoustic oscillation (BAO) features, these modes are potentially important for the use of the BAO as standard ruler. We present a complete treatment of the effects of the baryon-CDM perturbations on galaxy clustering in the context of a rigorous perturbative bias expansion. The leading effects are proportional to and . We estimate the magnitude of these terms through the excursion set approach. The contribution from , which has attracted significant attention recently, contributes at subleading (1-loop) order. The relative-density contribution is expected to be by far the largest contribution. We also point out contributions to the galaxy velocity bias, the largest of which is simply , leading to a term in the redshift-space galaxy power spectrum . Complete expressions of the galaxy power spectrum at 1-loop order are given, which contain several new terms.
16 pages, 6 figures; v2: substantially extended version including relative density mode and more estimates of bias parameters; v3: expanded introduction and conclusions, corrected Eq (46); matches PRD accepted version
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