Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations

Details Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations

2009-02-12

arxiv.org/abs/0902.2013v2

Mon.Not.Roy.Astron.Soc.398:321-332,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages, 12 figures. Small changes to match the version submitted to the journal on Feb 24 2009

Scientific paper

10.1111/j.1365-2966.2009.15150.x

The description of the abundance and clustering of halos for non-Gaussian initial conditions has recently received renewed interest, motivated by the forthcoming large galaxy and cluster surveys, which can potentially yield constraints of order unity on the non-Gaussianity parameter f_{NL}. We present tests on N-body simulations of analytical formulae describing the halo abundance and clustering for non-Gaussian initial conditions. We calibrate the analytic non-Gaussian mass function of Matarrese et al.(2000) and LoVerde et al.(2008) and the analytic description of clustering of halos for non-Gaussian initial conditions on N-body simulations. We find excellent agreement between the simulations and the analytic predictions if we make the corrections delta_c --> delta_c X sqrt{q} and delta_c --> \delta_c X q where q ~ 0.75, in the density threshold for gravitational collapse and in the non-Gaussian fractional correction to the halo bias, respectively. We discuss the implications of this correction on present and forecasted primordial non-Gaussianity constraints. We confirm that the non-Gaussian halo bias offers a robust and highly competitive test of primordial non-Gaussianity.

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