Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations
Abstract
The description of the abundance and clustering of haloes 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 the order of unity on the non-Gaussianity parameter fNL. 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, Verde & Jimenez and LoVerde et al. and the analytic description of clustering of haloes for non-Gaussian initial conditions on N-body simulations. We find an excellent agreement between the simulations and the analytic predictions if we make the corrections and , 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.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- September 2009
- DOI:
- 10.1111/j.1365-2966.2009.15150.x
- arXiv:
- arXiv:0902.2013
- Bibcode:
- 2009MNRAS.398..321G
- Keywords:
-
- methods: N-body simulations;
- methods: statistical;
- galaxies: clusters: general;
- galaxies: haloes;
- cosmology: theory;
- large-scale structure of Universe;
- Astrophysics - Cosmology and Extragalactic Astrophysics
- E-Print:
- 11 pages, 12 figures. Small changes to match the version submitted to the journal on Feb 24 2009