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Title: Renormalized halo bias

This paper provides a systematic study of renormalization in models of halo biasing. Building on work of McDonald, we show that Eulerian biasing is only consistent with renormalization if non-local terms and higher-derivative contributions are included in the biasing model. We explicitly determine the complete list of required bias parameters for Gaussian initial conditions, up to quartic order in the dark matter density contrast and at leading order in derivatives. At quadratic order, this means including the gravitational tidal tensor, while at cubic order the velocity potential appears as an independent degree of freedom. Our study naturally leads to an effective theory of biasing in which the halo density is written as a double expansion in fluctuations and spatial derivatives. We show that the bias expansion can be organized in terms of Galileon operators which aren't renormalized at leading order in derivatives. Finally, we discuss how the renormalized bias parameters impact the statistics of halos.
Authors:
;  [1] ;  [2] ;  [3]
  1. D.A.M.T.P., Cambridge University, Cambridge, CB3 0WA (United Kingdom)
  2. Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA 94305 (United States)
  3. Institute for Advanced Study, Princeton, NJ 08540 (United States)
Publication Date:
OSTI Identifier:
22373369
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2014; Journal Issue: 08; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; DEGREES OF FREEDOM; FLUCTUATIONS; NONLUMINOUS MATTER; POTENTIALS; RENORMALIZATION; TENSORS; VELOCITY