Halo abundances in the f_{nl} model

Abstract

We show how the excursion set moving barrier model for halo abundances may be generalized to the local non-Gaussian f_{nl} model. Our estimate assumes that the distribution of step sizes depends on f_{nl}, but that they are otherwise uncorrelated. Our analysis is consistent with previous results for the case of a constant barrier, and highlights some implicit assumptions. It also clarifies the basis of an approximate analytic solution to the moving barrier problem in the Gaussian case, and shows how it might be improved.

10 pages, 3 figures, match version accepted by MNRAS

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• Conditional Probabilities in the Excursion Set Theory. Generic Barriers and non-Gaussian Initial Conditions
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• The excursion set approach in non-Gaussian random fields
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• Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations
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• Statistics of the excursion sets in models with local primordial non-Gaussianity
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• The Extended Zel'dovich Mass Functions of Clusters and Isolated Clusters in the Presence of Primordial Non-Gaussianity