Author:
Rubira Henrique,Schmidt Fabian
Abstract
Abstract
The effective field theory of large-scale structure allows for a consistent perturbative
bias expansion of the rest-frame galaxy density field. In this work, we present a systematic
approach to renormalize galaxy bias parameters using a finite cutoff scale Λ. We derive
the differential equations of the Wilson-Polchinski renormalization group that describe the
evolution of the finite-scale bias parameters with Λ, analogous to the β-function
running in QFT. We further provide the connection between the finite-cutoff scheme and the
renormalization procedure for n-point functions that has been used as standard in the literature
so far; some inconsistencies in the treatment of renormalized bias in current EFT analyses are
pointed out as well. The fixed-cutoff scheme allows us to predict, in a principled way, the finite
part of loop contributions which is due to perturbative modes and which, in the standard
renormalization approach, is absorbed into counterterms. We expect that this will allow for the
robust extraction of (a yet-to-be-determined amount of) additional cosmological information from
galaxy clustering, both when using field-level techniques and n-point functions.
Subject
Astronomy and Astrophysics