Journal Article

Scale-dependent halo bias in the excursion set approach

Marcello Musso, Aseem Paranjape and Ravi K. Sheth

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 427, issue 4, pages 3145-3158
Published in print December 2012 | ISSN: 0035-8711
Published online December 2012 | e-ISSN: 1365-2966 | DOI:
Scale-dependent halo bias in the excursion set approach

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If one accounts for correlations between scales, then non-local, k-dependent halo bias is part and parcel of the excursion set approach, and hence of halo model predictions for galaxy bias. We present an analysis that distinguishes between a number of different effects, each of which contributes to scale-dependent bias in real space. We show how to isolate these effects and remove the scale dependence, order by order, by cross-correlating the halo field with suitably transformed versions of the mass field. These transformations may be thought of as simple one-point, two-scale measurements that allow one to estimate quantities which are usually constrained using n-point statistics. As part of our analysis, we present a simple analytic approximation for the first-crossing distribution of walks with correlated steps which are constrained to pass through a specified point, and demonstrate its accuracy. Although we concentrate on non-linear, non-local bias with respect to a Gaussian random field, we show how to generalize our analysis to more general fields.

Keywords: large-scale structure of Universe

Journal Article.  9214 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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