Bias in the effective field theory of large scale structures

doi:10.1088/1475-7516/2015/11/007

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

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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/k _NL and k/k _M, where k is the wavenumber of interest, k _NL is the wavenumber associatedmore »« less

Authors:

Senatore, Leonardo ^[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:: 2015-11-05

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

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                    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.

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                    Senatore, Leonardo. Bias in the effective field theory of large scale structures.  United States.  doi:10.1088/1475-7516/2015/11/007.

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                    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.

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@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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DOI: 10.1088/1475-7516/2015/11/007

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