Peak-background split, renormalization, and galaxy clustering

Fabian Schmidt, Donghui Jeong, Vincent Desjacques

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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 âŸ̈δLnâŸ

Original languageEnglish (US)
Article number023515
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number2
DOIs
Publication statusPublished - Jul 12 2013

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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