Peak-background split, renormalization, and galaxy clustering

Schmidt, Fabian; Jeong, Donghui; Desjacques, Vincent

doi:10.1103/PhysRevD.88.023515

Scientific article

English

Peak-background split, renormalization, and galaxy clustering

Contributors

Schmidt, Fabian; Jeong, Donghui; Desjacques, Vincent

Published in

Physical review. D. Particles, fields, gravitation, and cosmology, vol. 88, no. 2

Publication date

2013

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

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

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

Article (Published version)

Identifiers

PID : unige:35140
DOI : 10.1103/PhysRevD.88.023515

Journal ISSN

1550-2368

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Creation

31/03/2014 11:30:00

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31/03/2014 11:30:00

Update

14/03/2023 21:03:43

Status update

14/03/2023 21:03:43

Last indexation

30/10/2024 16:38:33

Peak-background split, renormalization, and galaxy clustering

Contributors

Published in

Publication date

Abstract

Keywords

UNIGE affiliation entities

Citation (ISO format)

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Technical informations

Creation

First validation

Update

Status update

Last indexation