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 »
- Authors:
-
- 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}
}
Web of Science
Works referenced in this record:
Cosmological non-linearities as an effective fluid
journal, July 2012
- Baumann, Daniel; Nicolis, Alberto; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
The effective field theory of cosmological large scale structures
journal, September 2012
- Carrasco, John Joseph M.; Hertzberg, Mark P.; Senatore, Leonardo
- Journal of High Energy Physics, Vol. 2012, Issue 9
The Lagrangian-space Effective Field Theory of large scale structures
journal, May 2014
- Porto, Rafael A.; Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 05
The IR-resummed Effective Field Theory of Large Scale Structures
journal, February 2015
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
The Effective Field Theory of Large Scale Structures at two loops
journal, July 2014
- Carrasco, John Joseph M.; Foreman, Simon; Green, Daniel
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 07
The one-loop matter bispectrum in the Effective Field Theory of Large Scale Structures
journal, October 2015
- Angulo, Raul E.; Foreman, Simon; Schmittfull, Marcel
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10
The bispectrum in the Effective Field Theory of Large Scale Structure
journal, May 2015
- Baldauf, Tobias; Mercolli, Lorenzo; Mirbabayi, Mehrdad
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
journal, August 2009
- McDonald, Patrick; Roy, Arabindo
- Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 08
Scale dependence of halo and galaxy bias: Effects in real space
journal, March 2007
- Smith, Robert E.; Scoccimarro, Román; Sheth, Ravi K.
- Physical Review D, Vol. 75, Issue 6
Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
journal, November 1999
- Matsubara, Takahiko
- The Astrophysical Journal, Vol. 525, Issue 2
Nonlinear perturbation theory integrated with nonlocal bias, redshift-space distortions, and primordial non-Gaussianity
journal, April 2011
- Matsubara, Takahiko
- Physical Review D, Vol. 83, Issue 8
Consequences of symmetries and consistency relations in the large-scale structure of the universe for non-local bias and modified gravity
journal, June 2014
- Kehagias, A.; Noreña, J.; Perrier, H.
- Nuclear Physics B, Vol. 883
The effective field theory of inflation
journal, March 2008
- Cheung, Clifford; Fitzpatrick, A. Liam; Kaplan, Jared
- Journal of High Energy Physics, Vol. 2008, Issue 03
The effective field theory of multifield inflation
journal, April 2012
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of High Energy Physics, Vol. 2012, Issue 4
Consistent effective theory of long-wavelength cosmological perturbations
journal, July 2014
- Carroll, Sean M.; Leichenauer, Stefan; Pollack, Jason
- Physical Review D, Vol. 90, Issue 2
Erratum: Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture [Phys. Rev. D 78 , 083519 (2008)]
journal, November 2008
- Matsubara, Takahiko
- Physical Review D, Vol. 78, Issue 10
The constancy of ζ in single-clock Inflation at all loops
journal, September 2013
- Senatore, Leonardo; Zaldarriaga, Matias
- Journal of High Energy Physics, Vol. 2013, Issue 9
Convolution Lagrangian perturbation theory for biased tracers
journal, December 2012
- Carlson, Jordan; Reid, Beth; White, Martin
- Monthly Notices of the Royal Astronomical Society, Vol. 429, Issue 2
Nonlocal halo bias with and without massive neutrinos
journal, August 2014
- Biagetti, Matteo; Desjacques, Vincent; Kehagias, Alex
- Physical Review D, Vol. 90, Issue 4
On the renormalization of the effective field theory of large scale structures
journal, August 2013
- Pajer, Enrico; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 08
On the velocity in the Effective Field Theory of Large Scale Structures
journal, March 2014
- Mercolli, Lorenzo; Pajer, Enrico
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 03
Renormalized halo bias
journal, August 2014
- Assassi, Valentin; Baumann, Daniel; Green, Daniel
- Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 08
Biased tracers and time evolution
journal, July 2015
- Mirbabayi, Mehrdad; Schmidt, Fabian; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 07
On the statistics of biased tracers in the Effective Field Theory of Large Scale Structures
journal, September 2015
- Angulo, Raul; Fasiello, Matteo; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
Cosmological Non-Linearities as an Effective Fluid
text, January 2010
- Baumann, Daniel; Nicolis, Alberto; Senatore, Leonardo
- arXiv
Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity
text, January 2011
- Matsubara, Takahiko
- arXiv
The Effective Field Theory of Cosmological Large Scale Structures
text, January 2012
- Carrasco, John Joseph M.; Hertzberg, Mark P.; Senatore, Leonardo
- arXiv
Convolution Lagrangian perturbation theory for biased tracers
text, January 2012
- Carlson, Jordan; Reid, Beth; White, Martin
- arXiv
The Lagrangian-space Effective Field Theory of Large Scale Structures
text, January 2013
- Porto, Rafael A.; Senatore, Leonardo; Zaldarriaga, Matias
- arXiv
The IR-resummed Effective Field Theory of Large Scale Structures
text, January 2014
- Senatore, Leonardo; Zaldarriaga, Matias
- arXiv
The One-Loop Matter Bispectrum in the Effective Field Theory of Large Scale Structures
text, January 2014
- Angulo, Raul E.; Foreman, Simon; Schmittfull, Marcel
- arXiv
The Scale Dependence of Halo and Galaxy Bias: Effects in Real Space
text, January 2006
- Smith, Robert E.; Scoccimarro, Roman; Sheth, Ravi K.
- arXiv
Stochasticity of Bias and Nonlocality of Galaxy Formation: Linear Scales
text, January 1999
- Matsubara, Takahiko
- arXiv
Works referencing / citing this record:
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
Precision measurement of the local bias of dark matter halos
journal, February 2016
- Lazeyras, Titouan; Wagner, Christian; Baldauf, Tobias
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
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
The Gaussian streaming model and convolution Lagrangian effective field theory
journal, December 2016
- Vlah, Zvonimir; Castorina, Emanuele; White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 12
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
Responses in large-scale structure
journal, June 2017
- Barreira, Alexandre; Schmidt, Fabian
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 06
Dark energy and modified gravity in the Effective Field Theory of Large-Scale Structure
journal, April 2018
- Cusin, Giulia; Lewandowski, Matthew; Vernizzi, Filippo
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 04
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
Infrared resummation for biased tracers in redshift space
journal, July 2018
- Ivanov, Mikhail M.; Sibiryakov, Sergey
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 07
A rigorous EFT-based forward model for large-scale structure
journal, January 2019
- Schmidt, Fabian; Elsner, Franz; Jasche, Jens
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 01
Biased tracers of two fluids in the Lagrangian picture
journal, June 2019
- Chen, Shi-Fan; Castorina, Emanuele; White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 06
Measuring neutrino masses with large-scale structure: Euclid forecast with controlled theoretical error
journal, November 2019
- Chudaykin, Anton; Ivanov, Mikhail M.
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 11
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
cosmolike – cosmological likelihood analyses for photometric galaxy surveys
journal, May 2017
- Krause, Elisabeth; Eifler, Tim
- Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 2
Constraining primordial non-Gaussianity with bispectrum and power spectrum from upcoming optical and radio surveys
journal, April 2018
- Karagiannis, Dionysios; Lazanu, Andrei; Liguori, Michele
- Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 1
Cosmological information in the redshift-space bispectrum
journal, November 2018
- Yankelevich, Victoria; Porciani, Cristiano
- Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 2
Modeling biased tracers at the field level
journal, August 2019
- Schmittfull, Marcel; Simonović, Marko; Assassi, Valentin
- Physical Review D, Vol. 100, Issue 4
Beyond linear galaxy alignments
journal, November 2019
- Blazek, Jonathan A.; MacCrann, Niall; Troxel, M. A.
- Physical Review D, Vol. 100, Issue 10
Validating estimates of the growth rate of structure with modified gravity simulations
journal, October 2016
- Barreira, Alexandre; Sánchez, Ariel G.; Schmidt, Fabian
- Physical Review D, Vol. 94, Issue 8
EFT of large scale structures in redshift space
journal, March 2018
- Lewandowski, Matthew; Senatore, Leonardo; Prada, Francisco
- Physical Review D, Vol. 97, Issue 6
Scale-dependent bias and bispectrum in neutrino separate universe simulations
journal, June 2018
- Chiang, Chi-Ting; Hu, Wayne; Li, Yin
- Physical Review D, Vol. 97, Issue 12
Bias loop corrections to the galaxy bispectrum
journal, June 2019
- Eggemeier, Alexander; Scoccimarro, Román; Smith, Robert E.
- Physical Review D, Vol. 99, Issue 12
The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe
journal, August 2019
- Biagetti, Matteo
- Galaxies, Vol. 7, Issue 3
Precision Comparison of the Power Spectrum in the EFTofLSS with Simulations
text, January 2015
- Foreman, Simon; Perrier, Hideki; Senatore, Leonardo
- arXiv
Precision measurement of the local bias of dark matter halos
text, January 2015
- Lazeyras, Titouan; Wagner, Christian; Baldauf, Tobias
- arXiv
The effect of relative velocity and density perturbations between baryons and dark matter on the clustering of galaxies
text, January 2016
- Schmidt, Fabian
- arXiv
Validating estimates of the growth rate of structure with modified gravity simulations
text, January 2016
- Barreira, Alexandre; Sánchez, Ariel G.; Schmidt, Fabian
- arXiv
Cosmological Perturbation Theory Using the FFTLog: Formalism and Connection to QFT Loop Integrals
text, January 2017
- Simonović, Marko; Baldauf, Tobias; Zaldarriaga, Matias
- arXiv
Scale-dependent bias and bispectrum in neutrino separate universe simulations
text, January 2017
- Chiang, Chi-Ting; Hu, Wayne; Li, Yin
- arXiv
Dark Energy and Modified Gravity in the Effective Field Theory of Large-Scale Structure
text, January 2017
- Cusin, Giulia; Lewandowski, Matthew; Vernizzi, Filippo
- arXiv
Infrared Resummation for Biased Tracers in Redshift Space
text, January 2018
- Ivanov, Mikhail M.; Sibiryakov, Sergey
- arXiv
A rigorous EFT-based forward model for large-scale structure
text, January 2018
- Schmidt, Fabian; Elsner, Franz; Jasche, Jens
- arXiv
Biased Tracers of Two Fluids in the Lagrangian Picture
text, January 2019
- Chen, Shi-Fan; Castorina, Emanuele; White, Martin
- arXiv
A marked correlation function for constraining modified gravity models
journal, November 2016
- White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 11