en
Scientific article
Open access
English

Peak-background split, renormalization, and galaxy clustering

Publication date2013
Abstract

We present a derivation of two-point correlations of general tracers in the peak-background split (PBS) framework by way of a rigorous definition of the PBS argument. Our expressions only depend on connected matter correlators and “renormalized” bias parameters with clear physical interpretation, and are independent of any coarse-graining scale. This result should be contrasted with the naive expression derived from a local bias expansion of the tracer number density with respect to the matter density perturbation δL coarse-grained on a scale RL. In the latter case, the predicted tracer correlation function receives contributions of order ⟨δnL⟩ at each perturbative order n, whereas, in our formalism, these are absorbed in the PBS bias parameters at all orders. Further, this approach naturally predicts both a scale-dependent bias ∝k2 such as found for peaks of the density field, and the scale-dependent bias induced by primordial non-Gaussianity in the initial conditions. The only assumption made about the tracers is that their abundance at a given position depends solely on the matter distribution within a finite region around that position.

Keywords
  • Cosmology
  • Large-scale structure
  • Non-Gaussianity
Citation (ISO format)
SCHMIDT, Fabian, JEONG, Donghui, DESJACQUES, Vincent. Peak-background split, renormalization, and galaxy clustering. In: Physical review. D. Particles, fields, gravitation, and cosmology, 2013, vol. 88, n° 2. doi: 10.1103/PhysRevD.88.023515
Main files (1)
Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal1550-2368
542views
221downloads

Technical informations

Creation03/31/2014 11:30:00 AM
First validation03/31/2014 11:30:00 AM
Update time03/14/2023 9:03:43 PM
Status update03/14/2023 9:03:43 PM
Last indexation01/16/2024 2:13:53 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack