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

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [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)
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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.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
1263394
Report Number(s):
SLAC-PUB-16640; arXiv:1406.7843
Journal Information:
Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 11; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 118 works
Citation information provided by
Web of Science

References (34)

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The IR-resummed Effective Field Theory of Large Scale Structures journal February 2015
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Scale dependence of halo and galaxy bias: Effects in real space journal March 2007
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Convolution Lagrangian perturbation theory for biased tracers journal December 2012
Nonlocal halo bias with and without massive neutrinos journal August 2014
On the renormalization of the effective field theory of large scale structures journal August 2013
On the velocity in the Effective Field Theory of Large Scale Structures journal March 2014
Renormalized halo bias journal August 2014
Biased tracers and time evolution journal July 2015
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures journal September 2015
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Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity text January 2011
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Convolution Lagrangian perturbation theory for biased tracers text January 2012
The Lagrangian-space Effective Field Theory of Large Scale Structures text January 2013
The IR-resummed Effective Field Theory of Large Scale Structures text January 2014
The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures text January 2014
Renormalized Cosmological Perturbation Theory text January 2005
The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space text January 2006
Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales text January 1999

Cited By (34)

Galaxy bias and primordial non-Gaussianity journal December 2015
Precision measurement of the local bias of dark matter halos journal February 2016
Precision comparison of the power spectrum in the EFTofLSS with simulations journal May 2016
The Gaussian streaming model and convolution Lagrangian effective field theory journal December 2016
Efficient exploration of cosmology dependence in the EFT of LSS journal April 2017
Responses in large-scale structure journal June 2017
Dark energy and modified gravity in the Effective Field Theory of Large-Scale Structure journal April 2018
Cosmological perturbation theory using the FFTLog: formalism and connection to QFT loop integrals journal April 2018
Infrared resummation for biased tracers in redshift space journal July 2018
A rigorous EFT-based forward model for large-scale structure journal January 2019
Biased tracers of two fluids in the Lagrangian picture journal June 2019
Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error journal November 2019
Cosmology inference from a biased density field using the EFT-based likelihood journal January 2020
cosmolike – cosmological likelihood analyses for photometric galaxy surveys journal May 2017
Constraining primordial non-Gaussianity with bispectrum and power spectrum from upcoming optical and radio surveys journal April 2018
Cosmological information in the redshift-space bispectrum journal November 2018
Modeling biased tracers at the field level journal August 2019
Beyond linear galaxy alignments journal November 2019
Validating estimates of the growth rate of structure with modified gravity simulations journal October 2016
EFT of large scale structures in redshift space journal March 2018
Scale-dependent bias and bispectrum in neutrino separate universe simulations journal June 2018
Bias loop corrections to the galaxy bispectrum journal June 2019
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe journal August 2019
Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations text January 2015
Precision measurement of the local bias of dark matter halos text January 2015
The effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies text January 2016
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
Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure text January 2017
Infrared Resummation for Biased Tracers in Redshift Space text January 2018
A rigorous EFT-based forward model for large-scale structure text January 2018
Biased Tracers of Two Fluids in the Lagrangian Picture text January 2019
A marked correlation function for constraining modified gravity models journal November 2016

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Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
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baryon acoustic oscillations