The Halo Mass-Bias Redshift Evolution in the $Λ$CDM Cosmology

Details The Halo Mass-Bias Redshift Evolution in the $Λ$CDM Cosmology The Halo Mass-Bias Redshift Evolution in the $Λ$CDM Cosmology

2008-01-25

arxiv.org/abs/0801.3889v1

Astronomy and Astrophysics

Astrophysics

8 pages, 5 figures, accepted for publication in ApJ

Scientific paper

10.1086/586725

We derive an analytic model for the redshift evolution of linear-bias, allowing for interactions and merging of the mass-tracers, by solving a second order differential equation based on linear perturbation theory and the Friedmann-Lemaitre solutions of the cosmological field equations. We then study the halo-mass dependence of the bias evolution, using the dark matter halo distribution in a $\Lambda$CDM simulation in order to calibrate the free parameters of the model. Finally, we compare our theoretical predictions with available observational data and find a good agreement. In particular, we find that the bias of optical QSO's evolve differently than those selected in X-rays and that their corresponding typical dark matter halo mass is $\sim 10^{13} h^{-1} M_{\odot}$ and $\magcir 5 \times 10^{13} h^{-1} M_{\odot}$, respectively.

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