Renormalized halo bias

By Valentin Assassi, D. Baumann, D. Green, M. Zaldarriaga. 2014

174 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/1c83a33dd9a67f7621ef81a8ef4aa9404f2f5533

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Citations in the corpus

Cosmological parameters from the BOSS galaxy power spectrum (2019, background): “This includes nonlinearities in the dark matter fluid [10, 11], the bias model [12–15] (for a review see [16]), and redshift space distortions [17, 18].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “Using the particular bias expansion given above, the one-loop auto-power spectrum of the bias tracers takes the following form [54, 55, 58],”
Biased tracers and time evolution (2014, background): “Π̂ [2] ij = ∂i∂mΦ∂j∂mΦ + 5 2 ( ∂i∂jΦ− ∂i∂jΦv ) +O ( δ(3) ) .”
Bias in the effective field theory of large scale structures (2014, background): “This was described in [9], and very recently reemphasized in great detail in [23].”
Combining full-shape and BAO analyses of galaxy power spectra: a 1.6% CMB-independent constraint on H0 (2020, background): “Creating a consistent model has been a subject of much work, but recent advances have led to the development of the ‘Effective Field Theory of Large Scale Structure’ (hereafter EFT) [36, 37], with extensions incorporating galaxy bias [38–41], redshift-space distortions [42, 43] and higher-order corr”