On the halo velocity bias

Abstract

It has been recently shown that any halo velocity bias present in the initial conditions does not decay to unity, in agreement with predictions from peak theory. However, this is at odds with the standard formalism based on the coupled fluids approximation for the coevolution of dark matter and halos. Starting from conservation laws in phase space, we discuss why the fluid momentum conservation equation for the biased tracers needs to be modified in accordance with the change advocated in Baldauf, Desjacques & Seljak (2014). Our findings indicate that a correct description of the halo properties should properly take into account peak constraints when starting from the Vlasov-Boltzmann equation.

arXiv comment6 pages,matches published version

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• Bias Loop Corrections to the Galaxy Bispectrum
• Cosmological Forecasts for Combined and Next Generation Peculiar Velocity Surveys
• Testing one-loop galaxy bias: joint analysis of power spectrum and bispectrum
• Determination of the large scale volume weighted halo velocity bias in simulations
• Disentangling redshift-space distortions and nonlinear bias using the 2D power spectrum
• Kriging Interpolating Cosmic Velocity Field
• Nonlinear stochastic growth rates and redshift space distortions
• The Halo Boltzmann Equation
• Velocity bias and the nonlinear perturbation theory of peaks
• Halo Profile Evolution and Velocity Bias
• Constraining the optical depth of galaxies and velocity bias with cross-correlation between kinetic Sunyaev-Zeldovich effect and peculiar velocity field
• A possible explanation of vanishing halo velocity bias
• Symmetries, Invariants and Generating Functions: Higher-order Statistics of Biased Tracers