Non-Gaussianity and excursion set theory: Halo bias

2012/06/30 by Peter Adshead, Eric J. Baxter, Scott Dodelson +1 · 20 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics #Computer science #Cosmology and Gravitation Theories #Economics #Excursion #Galaxies: Formation, Evolution, Phenomena #Galaxy #Geophysics and Gravity Measurements #Halo #Halo effect #Inflation (cosmology) #Non-Gaussianity #Physics #Quantum mechanics #Scale (ratio) #Set (abstract data type) #Statistical physics #Theoretical physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.86.063526

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(6) (American Physical Society) · 13 pages, 3 figures. v2 references added. Matches published version

openalex publication_date 2012/09/24 · arxiv created 2012/09/26 · arxiv updated 2012/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the impact of primordial non-Gaussianity generated during inflation on the bias of halos using excursion set theory. We recapture the familiar result that the bias scales as k^\ensuremath-2 on large scales for local type non-Gaussianity but explicitly identify the approximations that go into this conclusion and the corrections to it. We solve the more complicated problem of nonspherical halos, for which the collapse threshold is scale-dependent.

Citations

• Disentangling non-Gaussianity, bias, and general relativistic effects in the galaxy distribution
• The bias and mass function of dark matter haloes in non-Markovian extension of the excursion set theory
• An excursion set model of hierarchical clustering: ellipsoidal collapse and the moving barrier
• THE EXCURSION SET THEORY OF HALO MASS FUNCTIONS, HALO CLUSTERING, AND HALO GROWTH