DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Modeling iterative reconstruction and displacement field in the large scale structure

Abstract

The next generation of galaxy surveys like the Dark Energy Spectroscopic Instrument and Euclid will provide datasets orders of magnitude larger than anything available to date. Our ability to model nonlinear effects in late time matter perturbations will be a key to unlock the full potential of these datasets, and the area of initial condition reconstruction is attracting growing attention. Iterative reconstruction developed by Marcel Schmittfull et al. is a technique designed to reconstruct the displacement field from the observed galaxy distribution. The nonlinear displacement field and initial linear density field are highly correlated. Therefore, reconstructing the nonlinear displacement field enables us to extract the primordial cosmological information better than from the late time density field at the level of the two-point statistics. This paper will test to what extent the iterative reconstruction can recover the true displacement field and construct a perturbation theory model for the postreconstructed field. We model the iterative reconstruction process with Lagrangian perturbation theory (LPT) up to third order for dark matter in real space and compare it with N-body simulations. Here we find that the simulated iterative reconstruction does not converge to the nonlinear displacement field, and the discrepancy mainly appears in the shiftmore » term, i.e., the term correlated directly with the linear density field. On the contrary, our 3LPT model predicts that the iterative reconstruction should converge to the nonlinear displacement field. We discuss the sources of discrepancy, including numerical noise/artifacts on small scales, and present an ad hoc phenomenological model that improves the agreement.« less

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Ohio University, Athens, OH (United States)
  2. Missouri University of Science and Technology, Rolla, MO (United States); University of Tokyo (Japan). Kavli Institute for the Physics and Mathematics of the Universe (WPI)
  3. University of Edinburgh, Scotland (United Kingdom)
Publication Date:
Research Org.:
Ohio Univ., Athens, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); World Premier International Research Center Initiative; MEXT, Japan; European Research Council (ERC)
OSTI Identifier:
1979977
Alternate Identifier(s):
OSTI ID: 2290345
Grant/Contract Number:  
SC0019091; 853291
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D.
Additional Journal Information:
Journal Volume: 104; Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTRONOMY AND ASTROPHYSICS; cosmological parameters; large scale structure of the universe

Citation Formats

Ota, Atsuhisa, Seo, Hee-Jong, Saito, Shun, and Beutler, Florian. Modeling iterative reconstruction and displacement field in the large scale structure. United States: N. p., 2021. Web. doi:10.1103/physrevd.104.123508.
Ota, Atsuhisa, Seo, Hee-Jong, Saito, Shun, & Beutler, Florian. Modeling iterative reconstruction and displacement field in the large scale structure. United States. https://doi.org/10.1103/physrevd.104.123508
Ota, Atsuhisa, Seo, Hee-Jong, Saito, Shun, and Beutler, Florian. Thu . "Modeling iterative reconstruction and displacement field in the large scale structure". United States. https://doi.org/10.1103/physrevd.104.123508. https://www.osti.gov/servlets/purl/1979977.
@article{osti_1979977,
title = {Modeling iterative reconstruction and displacement field in the large scale structure},
author = {Ota, Atsuhisa and Seo, Hee-Jong and Saito, Shun and Beutler, Florian},
abstractNote = {The next generation of galaxy surveys like the Dark Energy Spectroscopic Instrument and Euclid will provide datasets orders of magnitude larger than anything available to date. Our ability to model nonlinear effects in late time matter perturbations will be a key to unlock the full potential of these datasets, and the area of initial condition reconstruction is attracting growing attention. Iterative reconstruction developed by Marcel Schmittfull et al. is a technique designed to reconstruct the displacement field from the observed galaxy distribution. The nonlinear displacement field and initial linear density field are highly correlated. Therefore, reconstructing the nonlinear displacement field enables us to extract the primordial cosmological information better than from the late time density field at the level of the two-point statistics. This paper will test to what extent the iterative reconstruction can recover the true displacement field and construct a perturbation theory model for the postreconstructed field. We model the iterative reconstruction process with Lagrangian perturbation theory (LPT) up to third order for dark matter in real space and compare it with N-body simulations. Here we find that the simulated iterative reconstruction does not converge to the nonlinear displacement field, and the discrepancy mainly appears in the shift term, i.e., the term correlated directly with the linear density field. On the contrary, our 3LPT model predicts that the iterative reconstruction should converge to the nonlinear displacement field. We discuss the sources of discrepancy, including numerical noise/artifacts on small scales, and present an ad hoc phenomenological model that improves the agreement.},
doi = {10.1103/physrevd.104.123508},
journal = {Physical Review. D.},
number = 12,
volume = 104,
place = {United States},
year = {Thu Dec 02 00:00:00 EST 2021},
month = {Thu Dec 02 00:00:00 EST 2021}
}

Works referenced in this record:

Eulerian BAO reconstructions and N -point statistics
journal, December 2015


Distribution function approach to redshift space distortions. Part IV: perturbation theory applied to dark matter
journal, November 2012

  • Vlah, Zvonimir; Seljak, Uroš; McDonald, Patrick
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11
  • DOI: 10.1088/1475-7516/2012/11/009

The Sdss-Iv Extended Baryon Oscillation Spectroscopic Survey: Overview and Early data
journal, February 2016

  • Dawson, Kyle S.; Kneib, Jean-Paul; Percival, Will J.
  • The Astronomical Journal, Vol. 151, Issue 2
  • DOI: 10.3847/0004-6256/151/2/44

Reconstructing baryon oscillations
journal, December 2009


Second-order power spectrum and nonlinear evolution at high redshift
journal, August 1994

  • Jain, Bhuvnesh; Bertschinger, Edmund
  • The Astrophysical Journal, Vol. 431
  • DOI: 10.1086/174502

Consistent effective theory of long-wavelength cosmological perturbations
journal, July 2014


Redshift remapping and cosmic acceleration in dark-matter-dominated cosmological models
journal, June 2017

  • Wojtak, Radosław; Prada, Francisco
  • Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 4
  • DOI: 10.1093/mnras/stx1550

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
  • DOI: 10.1007/JHEP09(2012)082

Towards optimal extraction of cosmological information from nonlinear data
journal, December 2017

  • Seljak, Uroš; Aslanyan, Grigor; Feng, Yu
  • Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 12
  • DOI: 10.1088/1475-7516/2017/12/009

Generation of vorticity and velocity dispersion by orbit crossing
journal, August 2009


An iterative reconstruction of cosmological initial density fields
journal, May 2018

  • Hada, Ryuichiro; Eisenstein, Daniel J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 478, Issue 2
  • DOI: 10.1093/mnras/sty1203

Using Lagrangian Perturbation Theory for Precision Cosmology
journal, May 2014


Critical look at cosmological perturbation theory techniques
journal, August 2009


Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
journal, August 2007

  • Eisenstein, Daniel J.; Seo, Hee‐Jong; Sirko, Edwin
  • The Astrophysical Journal, Vol. 664, Issue 2
  • DOI: 10.1086/518712

The cosmological simulation code gadget-2
journal, December 2005


Fast large scale structure perturbation theory using one-dimensional fast Fourier transforms
journal, May 2016


The Galaxy correlation hierarchy in perturbation theory
journal, April 1984


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
  • DOI: 10.1088/1475-7516/2014/05/022

A coarse grained perturbation theory for the Large Scale Structure, with cosmology and time independence in the UV
journal, September 2014

  • Manzotti, Alessandro; Peloso, Marco; Pietroni, Massimo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 09
  • DOI: 10.1088/1475-7516/2014/09/047

Large-scale structure of the Universe and cosmological perturbation theory
journal, September 2002


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


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
  • DOI: 10.1088/1475-7516/2012/07/051

GADGET: a code for collisionless and gasdynamical cosmological simulations
journal, April 2001


The Hetdex Pilot Survey. i. Survey Design, Performance, and Catalog of Emission-Line Galaxies
journal, December 2010

  • Adams, Joshua J.; Blanc, Guillermo A.; Hill, Gary J.
  • The Astrophysical Journal Supplement Series, Vol. 192, Issue 1
  • DOI: 10.1088/0067-0049/192/1/5

Perturbation theory for BAO reconstructed fields: One-loop results in the real-space matter density field
journal, August 2017


Extragalactic science, cosmology, and Galactic archaeology with the Subaru Prime Focus Spectrograph
journal, February 2014

  • Takada, Masahiro; Ellis, Richard S.; Chiba, Masashi
  • Publications of the Astronomical Society of Japan, Vol. 66, Issue 1
  • DOI: 10.1093/pasj/pst019

Reconstructing baryon oscillations: A Lagrangian theory perspective
journal, March 2009


On the renormalization of the effective field theory of large scale structures
journal, August 2013


Theoretical Systematics of Future Baryon Acoustic Oscillation Surveys
journal, May 2018

  • Ding, Zhejie; Seo, Hee-Jong; Vlah, Zvonimir
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/sty1413

Resumming cosmic perturbations
journal, June 2007


Direct and fast calculation of regularized cosmological power spectrum at two-loop order
journal, November 2012


Unbiased cosmology inference from biased tracers using the EFT likelihood
journal, November 2020

  • Schmidt, Fabian; Cabass, Giovanni; Jasche, Jens
  • Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 11
  • DOI: 10.1088/1475-7516/2020/11/008

The reconstructed power spectrum in the Zeldovich approximation
journal, September 2019

  • Chen, Shi-Fan; Vlah, Zvonimir; White, Martin
  • Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 09
  • DOI: 10.1088/1475-7516/2019/09/017

Exploring the posterior surface of the large scale structure reconstruction
journal, July 2018

  • Feng, Yu; Seljak, Uroš; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 07
  • DOI: 10.1088/1475-7516/2018/07/043

Nonlinear evolution of baryon acoustic oscillations
journal, January 2008


Modeling the reconstructed BAO in Fourier space
journal, May 2016

  • Seo, Hee-Jong; Beutler, Florian; Ross, Ashley J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 460, Issue 3
  • DOI: 10.1093/mnras/stw1138

A Closure Theory for Nonlinear Evolution of Cosmological Power Spectra
journal, February 2008

  • Taruya, Atsushi; Hiramatsu, Takashi
  • The Astrophysical Journal, Vol. 674, Issue 2
  • DOI: 10.1086/526515

Third-Order Perturbation Theory with Nonlinear Pressure
journal, July 2009


Nonlinear reconstruction
journal, December 2017


Renormalized cosmological perturbation theory
journal, March 2006


Coarse-grained cosmological perturbation theory
journal, January 2012


Loop Corrections in Nonlinear Cosmological Perturbation Theory. II. Two‐Point Statistics and Self‐Similarity
journal, December 1996

  • Scoccimarro, Roman; Frieman, Joshua A.
  • The Astrophysical Journal, Vol. 473, Issue 2
  • DOI: 10.1086/178177

Baryonic Acoustic Oscillations via the Renormalization Group
journal, January 2008


Reconstruction within the Zeldovich approximation
journal, May 2015

  • White, Martin
  • Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 4
  • DOI: 10.1093/mnras/stv842

Why weakly non-linear effects are small in a zero-pressure cosmology
journal, June 1983

  • Vishniac, E. T.
  • Monthly Notices of the Royal Astronomical Society, Vol. 203, Issue 2
  • DOI: 10.1093/mnras/203.2.345

Iterative initial condition reconstruction
journal, July 2017


Towards an optimal reconstruction of baryon oscillations
journal, October 2012


Application of the iterative reconstruction to simulated galaxy fields
journal, November 2018

  • Hada, Ryuichiro; Eisenstein, Daniel J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 4
  • DOI: 10.1093/mnras/sty3137

Multipoint propagators in cosmological gravitational instability
journal, November 2008


Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields
journal, July 1992


The mildly non-linear regime of structure formation
journal, April 2012


Third-Order Density Perturbation and One-Loop Power Spectrum in Dark-Energy-Dominated Universe
journal, September 2008


Quasinonlinear theory of cosmological self-gravitating systems
journal, January 1991


On the reach of perturbative descriptions for dark matter displacement fields
journal, March 2016

  • Baldauf, Tobias; Schaan, Emmanuel; Zaldarriaga, Matias
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
  • DOI: 10.1088/1475-7516/2016/03/017

Dark matter clustering: A simple renormalization group approach
journal, February 2007


Taking measurements of the kinematic Sunyaev-Zel'dovich effect forward : including uncertainties from velocity reconstruction with forward modeling
journal, December 2020

  • Nguyen, Nhat-Minh; Jasche, Jens; Lavaux, Guilhem
  • Journal of Cosmology and Astroparticle Physics, Vol. 2020, Issue 12
  • DOI: 10.1088/1475-7516/2020/12/011