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Excursion set theory for generic moving barriers and non-Gaussian initial conditions

De Simone, Andrea ; Maggiore, Michele ; Riotto, Antonio

In: Monthly Notices of the Royal Astronomical Society, 2011, vol. 412, no. 4, p. 2587-2602

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    Titel
    • Excursion set theory for generic moving barriers and non-Gaussian initial conditions
    Autor
    • De Simone, Andrea. Center for Theoretical Physics and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
    • Maggiore, Michele. Département de Physique Théorique, Université de Genève, 24 quai Ansermet, CH-1211 Genève, Switzerland
    • Riotto, Antonio. CERN, PH-TH Division, CH-1211, Genève 23, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Monthly Notices of the Royal Astronomical Society, 2011, vol. 412, no. 4, p. 2587-2602. Blackwell Publishing Ltd
    Andere elektronische Ausgabe
    OAI-PMH-ID
    • oai:doc.rero.ch:296781
    Summary
    Excursion set theory, where density perturbations evolve stochastically with the smoothing scale, provides a method for computing the mass function of cosmological structures like dark matter haloes, sheets and filaments. The computation of these mass functions is mapped into the so-called first-passage time problem in the presence of a moving barrier. In this paper we use the path-integral formulation of the excursion set theory developed recently to analytically solve the first-passage time problem in the presence of a generic moving barrier, in particular the barrier corresponding to ellipsoidal collapse. We perform the computation for both Gaussian and non-Gaussian initial conditions and for a window function which is a top-hat in wavenumber space. The expression of the halo mass function for the ellipsoidal collapse barrier and with non-Gaussianity is therefore obtained in a fully consistent way and it does not require the introduction of any form factor artificially derived from the Press-Schechter formalism based on the spherical collapse and usually adopted in the literature