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Title: Bias in the effective field theory of large scale structures

Abstract

We study how to describe collapsed objects, such as galaxies, in the context of the Effective Field Theory of Large Scale Structures. The overdensity of galaxies at a given location and time is determined by the initial tidal tensor, velocity gradients and spatial derivatives of the regions of dark matter that, during the evolution of the universe, ended up at that given location. Similarly to what was recently done for dark matter, we show how this Lagrangian space description can be recovered by upgrading simpler Eulerian calculations. We describe the Eulerian theory. We show that it is perturbatively local in space, but non-local in time, and we explain the observational consequences of this fact. We give an argument for why to a certain degree of accuracy the theory can be considered as quasi time-local and explain what the operator structure is in this case. Furthermore, we describe renormalization of the bias coefficients so that, after this and after upgrading the Eulerian calculation to a Lagrangian one, the perturbative series for galaxies correlation functions results in a manifestly convergent expansion in powers of k/kNL and k/kM, where k is the wavenumber of interest, kNL is the wavenumber associated to the non-linearmore » scale, and kM is the comoving wavenumber enclosing the mass of a galaxy.« less

Authors:
 [1]
  1. Stanford Univ., CA (United States). Stanford Inst. of Theoretical Physics (ITP); Kavli Institute for Particle Astrophysics and Cosmology, SLAC and Stanford Univ., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1263394
Report Number(s):
SLAC-PUB-16640
Journal ID: ISSN 1475-7516; arXiv:1406.7843
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 11; Journal ID: ISSN 1475-7516
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; astrophysics; gravitation and cosmology; phenomenology-HEP; Theory-HEP; ASTRO; cosmological perturbation theory; power spectrum; cosmological parameters from LSS; baryon acoustic oscillations

Citation Formats

Senatore, Leonardo. Bias in the effective field theory of large scale structures. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/11/007.
Senatore, Leonardo. Bias in the effective field theory of large scale structures. United States. https://doi.org/10.1088/1475-7516/2015/11/007
Senatore, Leonardo. Thu . "Bias in the effective field theory of large scale structures". United States. https://doi.org/10.1088/1475-7516/2015/11/007. https://www.osti.gov/servlets/purl/1263394.
@article{osti_1263394,
title = {Bias in the effective field theory of large scale structures},
author = {Senatore, Leonardo},
abstractNote = {We study how to describe collapsed objects, such as galaxies, in the context of the Effective Field Theory of Large Scale Structures. The overdensity of galaxies at a given location and time is determined by the initial tidal tensor, velocity gradients and spatial derivatives of the regions of dark matter that, during the evolution of the universe, ended up at that given location. Similarly to what was recently done for dark matter, we show how this Lagrangian space description can be recovered by upgrading simpler Eulerian calculations. We describe the Eulerian theory. We show that it is perturbatively local in space, but non-local in time, and we explain the observational consequences of this fact. We give an argument for why to a certain degree of accuracy the theory can be considered as quasi time-local and explain what the operator structure is in this case. Furthermore, we describe renormalization of the bias coefficients so that, after this and after upgrading the Eulerian calculation to a Lagrangian one, the perturbative series for galaxies correlation functions results in a manifestly convergent expansion in powers of k/kNL and k/kM, where k is the wavenumber of interest, kNL is the wavenumber associated to the non-linear scale, and kM is the comoving wavenumber enclosing the mass of a galaxy.},
doi = {10.1088/1475-7516/2015/11/007},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 11,
volume = 2015,
place = {United States},
year = {Thu Nov 05 00:00:00 EST 2015},
month = {Thu Nov 05 00:00:00 EST 2015}
}

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Works referenced in this record:

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On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
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text, January 2014


The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures
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Works referencing / citing this record:

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Precision comparison of the power spectrum in the EFTofLSS with simulations
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The Gaussian streaming model and convolution Lagrangian effective field theory
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Responses in large-scale structure
journal, June 2017


Dark energy and modified gravity in the Effective Field Theory of Large-Scale Structure
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Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals
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Infrared resummation for biased tracers in redshift space
journal, July 2018


A rigorous EFT-based forward model for large-scale structure
journal, January 2019

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Biased tracers of two fluids in the Lagrangian picture
journal, June 2019

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Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
journal, November 2019


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journal, January 2020

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The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe
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Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations
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Precision measurement of the local bias of dark matter halos
text, January 2015


Validating estimates of the growth rate of structure with modified gravity simulations
text, January 2016


Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
text, January 2017


Scale-dependent bias and bispectrum in neutrino separate universe simulations
text, January 2017


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text, January 2017


Infrared Resummation for Biased Tracers in Redshift Space
text, January 2018


A rigorous EFT-based forward model for large-scale structure
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Biased Tracers of Two Fluids in the Lagrangian Picture
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A marked correlation function for constraining modified gravity models
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