How dark matter halos cluster in Lagrangian space

Porciani, C.; Catelan, P.; Lacey, C.

Abstract

We investigate the clustering of dark matter halos in Lagrangian space in terms of their two-point correlation function. Analyzing a set of collisionless scale-free 1283 particle N-body simulations with spectral indices n=-2, -1, we measure the first two Lagrangian bias parameters b1 and b2 relating halo and mass correlations. We find that the Mo & White leading-order formula for b1 describes the clustering of halos with mass MgtrsimM$\mathstrut{_{{\star}}}$ (where Msstarf indicates the characteristic nonlinear mass) quite accurately. Smaller halos turn out to be less clustered in Lagrangian space than predicted by Mo & White. Our findings are consistent with the recent results of Jing for the clustering of halo populations in Eulerian space, demonstrating that the discrepancies between the N-body and analytical Mo & White prediction for the bias exist already in Lagrangian space. This shows that a more refined theoretical algorithm for selecting halos in the initial conditions needs to be developed. Finally, we present a very accurate fitting formula for the linear halo bias factor b1 in Lagrangian space.

Citation

Porciani, C., Catelan, P., & Lacey, C. (1999). How dark matter halos cluster in Lagrangian space. Astrophysical Journal Letters, 513(2), L99-L102. https://doi.org/10.1086/311922

• Journal Article Type: Article
• Publication Date: Mar 10, 1999
• Deposit Date: Feb 11, 2015
• Publicly Available Date: Feb 12, 2015
• Journal: Astrophysical Journal Letters
• Print ISSN: 2041-8205
• Electronic ISSN: 2041-8213
• Publisher: American Astronomical Society
• Peer Reviewed: Peer Reviewed
• Volume: 513
• Issue: 2
• Pages: L99-L102
• DOI: https://doi.org/10.1086/311922
• Keywords: Cosmology: theory, Galaxies: statistics, Large-scale structure of universe.
• Public URL: https://durham-repository.worktribe.com/output/1606269