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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 Lab., 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. doi:10.1088/1475-7516/2015/11/007.
Senatore, Leonardo. Thu . "Bias in the effective field theory of large scale structures". United States. doi: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 = {2015},
month = {11}
}

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Cited by: 21 works
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Works referenced in this record:

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journal, July 2012

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    Works referencing / citing this record:

    The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe
    journal, August 2019


    Galaxy bias and primordial non-Gaussianity
    journal, December 2015

    • Assassi, Valentin; Baumann, Daniel; Schmidt, Fabian
    • Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 12
    • DOI: 10.1088/1475-7516/2015/12/043

    Precision measurement of the local bias of dark matter halos
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    • Lazeyras, Titouan; Wagner, Christian; Baldauf, Tobias
    • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
    • DOI: 10.1088/1475-7516/2016/02/018

    Precision comparison of the power spectrum in the EFTofLSS with simulations
    journal, May 2016

    • Foreman, Simon; Perrier, Hideki; Senatore, Leonardo
    • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 05
    • DOI: 10.1088/1475-7516/2016/05/027

    The Gaussian streaming model and convolution Lagrangian effective field theory
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    • Vlah, Zvonimir; Castorina, Emanuele; White, Martin
    • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 12
    • DOI: 10.1088/1475-7516/2016/12/007

    Efficient exploration of cosmology dependence in the EFT of LSS
    journal, April 2017

    • Cataneo, Matteo; Foreman, Simon; Senatore, Leonardo
    • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 04
    • DOI: 10.1088/1475-7516/2017/04/026

    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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    • Cusin, Giulia; Lewandowski, Matthew; Vernizzi, Filippo
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    • DOI: 10.1088/1475-7516/2018/04/005

    Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals
    journal, April 2018

    • Simonović, Marko; Baldauf, Tobias; Zaldarriaga, Matias
    • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
    • DOI: 10.1088/1475-7516/2018/04/030

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    journal, July 2018


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    • Schmidt, Fabian; Elsner, Franz; Jasche, Jens
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    • DOI: 10.1088/1475-7516/2019/01/042

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    journal, June 2019

    • Chen, Shi-Fan; Castorina, Emanuele; White, Martin
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    • DOI: 10.1088/1475-7516/2019/06/006

    Cosmology inference from a biased density field using the EFT-based likelihood
    journal, January 2020

    • Elsner, Franz; Schmidt, Fabian; Jasche, Jens
    • Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 01
    • DOI: 10.1088/1475-7516/2020/01/029

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