The reconstructed power spectrum in the Zeldovich approximation
Abstract
Density-reconstruction sharpens the baryon acoustic oscillations signal by undoing some of the smoothing incurred by nonlinear structure formation. In this paper we present an analytical model for reconstruction based on the Zeldovich approximation, which for the first time includes a complete set of counterterms and bias terms up to quadratic order and can fit real and redshift-space data pre- and post-reconstruction data in both Fourier and configuration space over a wide range of scales. We compare our model to n-body data at z = 0 from the DarkSky simulation [1], finding sub-percent agreement in both real space and in the redshift-space power spectrum monopole out to k = 0.4 h Mpc-1, and out to k = 0.2 h Mpc-1 in the quadrupole, with comparable agreement in configuration space. We compare our model with several popular existing alternatives, updating existing theoretical results for exponential damping in wiggle/no-wiggle splits of the BAO signal and discuss the usually-ignored effect of higher bias contributions on the reconstructed signal. In the appendices, we re-derive the former within our formalism, present exploratory results on higher-order corrections due to nonlinearities inherent to reconstruction, and present numerical techniques with which to calculate the redshift-space power spectrum of biasedmore »
- Authors:
-
- Univ. of California, Berkeley, CA (United States)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1572842
- Alternate Identifier(s):
- OSTI ID: 1593666
- Grant/Contract Number:
- AC02-05CH11231; SC0017860
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Cosmology and Astroparticle Physics
- Additional Journal Information:
- Journal Volume: 2019; Journal Issue: 09; Journal ID: ISSN 1475-7516
- Publisher:
- Institute of Physics (IOP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Chen, Shi-Fan, Vlah, Zvonimir, and White, Martin. The reconstructed power spectrum in the Zeldovich approximation. United States: N. p., 2019.
Web. doi:10.1088/1475-7516/2019/09/017.
Chen, Shi-Fan, Vlah, Zvonimir, & White, Martin. The reconstructed power spectrum in the Zeldovich approximation. United States. doi:10.1088/1475-7516/2019/09/017.
Chen, Shi-Fan, Vlah, Zvonimir, and White, Martin. Mon .
"The reconstructed power spectrum in the Zeldovich approximation". United States. doi:10.1088/1475-7516/2019/09/017. https://www.osti.gov/servlets/purl/1572842.
@article{osti_1572842,
title = {The reconstructed power spectrum in the Zeldovich approximation},
author = {Chen, Shi-Fan and Vlah, Zvonimir and White, Martin},
abstractNote = {Density-reconstruction sharpens the baryon acoustic oscillations signal by undoing some of the smoothing incurred by nonlinear structure formation. In this paper we present an analytical model for reconstruction based on the Zeldovich approximation, which for the first time includes a complete set of counterterms and bias terms up to quadratic order and can fit real and redshift-space data pre- and post-reconstruction data in both Fourier and configuration space over a wide range of scales. We compare our model to n-body data at z = 0 from the DarkSky simulation [1], finding sub-percent agreement in both real space and in the redshift-space power spectrum monopole out to k = 0.4 h Mpc-1, and out to k = 0.2 h Mpc-1 in the quadrupole, with comparable agreement in configuration space. We compare our model with several popular existing alternatives, updating existing theoretical results for exponential damping in wiggle/no-wiggle splits of the BAO signal and discuss the usually-ignored effect of higher bias contributions on the reconstructed signal. In the appendices, we re-derive the former within our formalism, present exploratory results on higher-order corrections due to nonlinearities inherent to reconstruction, and present numerical techniques with which to calculate the redshift-space power spectrum of biased tracers within the Zeldovich approximation.},
doi = {10.1088/1475-7516/2019/09/017},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 09,
volume = 2019,
place = {United States},
year = {2019},
month = {9}
}
Web of Science
Works referenced in this record:
Eulerian BAO reconstructions and -point statistics
journal, December 2015
- Schmittfull, Marcel; Feng, Yu; Beutler, Florian
- Physical Review D, Vol. 92, Issue 12
Halo Nonlinear Reconstruction
journal, September 2017
- Yu, Yu; Zhu, Hong-Ming; Pen, Ue-Li
- The Astrophysical Journal, Vol. 847, Issue 2
Analytic prediction of baryonic effects from the EFT of large scale structures
journal, May 2015
- Lewandowski, Matthew; Perko, Ashley; Senatore, Leonardo
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 05
Cubic halo bias in Eulerian and Lagrangian space
journal, July 2018
- Abidi, Muntazir Mehdi; Baldauf, Tobias
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 07
Reconstructing baryon oscillations
journal, December 2009
- Noh, Yookyung; White, Martin; Padmanabhan, Nikhil
- Physical Review D, Vol. 80, Issue 12
Resumming cosmological perturbations via the Lagrangian picture: One-loop results in real space and in redshift space
journal, March 2008
- Matsubara, Takahiko
- Physical Review D, Vol. 77, Issue 6
Combining galaxy and 21-cm surveys
journal, February 2016
- Cohn, J. D.; White, Martin; Chang, Tzu-Ching
- Monthly Notices of the Royal Astronomical Society, Vol. 457, Issue 2
Constraining the relative velocity effect using the Baryon Oscillation Spectroscopic Survey
journal, May 2017
- Beutler, Florian; Seljak, Uroš; Vlah, Zvonimir
- Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
The Zel'dovich approximation
journal, February 2014
- White, Martin
- Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 4
Reconstruction in Fourier space
journal, August 2015
- Burden, A.; Percival, W. J.; Howlett, C.
- Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 1
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: theoretical systematics and Baryon Acoustic Oscillations in the galaxy correlation function
journal, March 2018
- Vargas-Magaña, Mariana; Ho, Shirley; Cuesta, Antonio J.
- Monthly Notices of the Royal Astronomical Society, Vol. 477, Issue 1
BAO extractor: bias and redshift space effects
journal, January 2018
- Nishimichi, Takahiro; Noda, Eugenio; Peloso, Marco
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 01
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
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
Exploring redshift-space distortions in large-scale structure
journal, March 2019
- Vlah, Zvonimir; White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 03
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
On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter
journal, August 2007
- Eisenstein, Daniel J.; Seo, Hee‐Jong; White, Martin
- The Astrophysical Journal, Vol. 664, Issue 2
Beyond the plane-parallel approximation for redshift surveys
journal, February 2018
- Castorina, Emanuele; White, Martin
- Monthly Notices of the Royal Astronomical Society
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017
- Alam, Shadab; Ata, Metin; Bailey, Stephen
- Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
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 WiggleZ Dark Energy Survey: improved distance measurements to z = 1 with reconstruction of the baryonic acoustic feature
journal, May 2014
- Kazin, Eyal A.; Koda, Jun; Blake, Chris
- Monthly Notices of the Royal Astronomical Society, Vol. 441, Issue 4
Observational probes of cosmic acceleration
journal, September 2013
- Weinberg, David H.; Mortonson, Michael J.; Eisenstein, Daniel J.
- Physics Reports, Vol. 530, Issue 2
Baryonic signatures in large-scale structure
journal, April 1999
- Meiksin, A.; White, M.; Peacock, J. A.
- Monthly Notices of the Royal Astronomical Society, Vol. 304, Issue 4
Large-scale structure of the Universe and cosmological perturbation theory
journal, September 2002
- Bernardeau, F.; Colombi, S.; Gaztañaga, E.
- Physics Reports, Vol. 367, Issue 1-3
Baryonic Features in the Matter Transfer Function
journal, April 1998
- Eisenstein, Daniel J.; Hu, Wayne
- The Astrophysical Journal, Vol. 496, Issue 2
Lagrangian perturbation theory at one loop order: Successes, failures, and improvements
journal, January 2015
- Vlah, Zvonimir; Seljak, Uroš; Baldauf, Tobias
- Physical Review D, Vol. 91, Issue 2
A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – II. Fitting techniques : A 2 per cent distance to z = 0.35
journal, November 2012
- Xu, Xiaoying; Padmanabhan, Nikhil; Eisenstein, Daniel J.
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
Unequal time correlators and the Zel’dovich approximation
journal, July 2019
- Chisari, Nora Elisa; Pontzen, Andrew
- Physical Review D, Vol. 100, Issue 2
Baryonic Acoustic Oscillations in Simulated Galaxy Redshift Surveys
journal, November 2005
- Seo, Hee‐Jong; Eisenstein, Daniel J.
- The Astrophysical Journal, Vol. 633, Issue 2
Perturbation theory for BAO reconstructed fields: One-loop results in the real-space matter density field
journal, August 2017
- Hikage, Chiaki; Koyama, Kazuya; Heavens, Alan
- Physical Review D, Vol. 96, Issue 4
The SDSS-IV Extended Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations at Redshift of 0.72 with the DR14 Luminous Red Galaxy Sample
journal, August 2018
- Bautista, Julian E.; Vargas-Magaña, Mariana; Dawson, Kyle S.
- The Astrophysical Journal, Vol. 863, Issue 1
Reconstructing baryon oscillations: A Lagrangian theory perspective
journal, March 2009
- Padmanabhan, Nikhil; White, Martin; Cohn, J. D.
- Physical Review D, Vol. 79, Issue 6
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
An analytic model for redshift-space distortions
journal, November 2013
- Wang, Lile; Reid, Beth; White, Martin
- Monthly Notices of the Royal Astronomical Society, Vol. 437, Issue 1
Cosmological reconstruction from galaxy light: neural network based light-matter connection
journal, October 2018
- Modi, Chirag; Feng, Yu; Seljak, Uroš
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 10
A Lagrangian effective field theory
journal, September 2015
- Vlah, Zvonimir; White, Martin; Aviles, Alejandro
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
The impact of wrong assumptions in BAO reconstruction
journal, February 2019
- Sherwin, Blake D.; White, Martin
- Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 02
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
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
Formation of Galaxies and Clusters of Galaxies by Self-Similar Gravitational Condensation
journal, February 1974
- Press, William H.; Schechter, Paul
- The Astrophysical Journal, Vol. 187
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
Nonlinear evolution of baryon acoustic oscillations
journal, January 2008
- Crocce, Martín; Scoccimarro, Román
- Physical Review D, Vol. 77, Issue 2
A robust BAO extractor
journal, August 2017
- Noda, Eugenio; Peloso, Marco; Pietroni, Massimo
- Journal of Cosmology and Astroparticle Physics, Vol. 2017, Issue 08
The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: potential systematics in fitting of baryon acoustic feature
journal, September 2014
- Vargas-Magaña, Mariana; Ho, Shirley; Xu, Xiaoying
- Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 1
A 2 per cent distance to z = 0.35 by reconstructing baryon acoustic oscillations – I. Methods and application to the Sloan Digital Sky Survey : A 2 per cent distance to z = 0.35
journal, November 2012
- Padmanabhan, Nikhil; Xu, Xiaoying; Eisenstein, Daniel J.
- Monthly Notices of the Royal Astronomical Society, Vol. 427, Issue 3
The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores
journal, December 2012
- Behroozi, Peter S.; Wechsler, Risa H.; Wu, Hao-Yi
- The Astrophysical Journal, Vol. 762, Issue 2
Reconstruction within the Zeldovich approximation
journal, May 2015
- White, Martin
- Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 4
Improved Forecasts for the Baryon Acoustic Oscillations and Cosmological Distance Scale
journal, August 2007
- Seo, Hee‐Jong; Eisenstein, Daniel J.
- The Astrophysical Journal, Vol. 665, Issue 1
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
Iterative initial condition reconstruction
journal, July 2017
- Schmittfull, Marcel; Baldauf, Tobias; Zaldarriaga, Matias
- Physical Review D, Vol. 96, Issue 2
Perturbation theory, effective field theory, and oscillations in the power spectrum
journal, March 2016
- Vlah, Zvonimir; Seljak, Uroš; Chu, Man Yat
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
Towards an optimal reconstruction of baryon oscillations
journal, October 2012
- Tassev, Svetlin; Zaldarriaga, Matias
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 10
Clustering in real space and in redshift space
journal, July 1987
- Kaiser, Nick
- Monthly Notices of the Royal Astronomical Society, Vol. 227, Issue 1
Precollapse scale invariance in gravitational instability
journal, December 1991
- Moutarde, F.; Alimi, J. -M.; Bouchet, F. R.
- The Astrophysical Journal, Vol. 382
The Zeldovich approximation and wide-angle redshift-space distortions
journal, June 2018
- Castorina, Emanuele; White, Martin
- Monthly Notices of the Royal Astronomical Society
A new Statistic for Analyzing Baryon Acoustic Oscillations
journal, July 2010
- Xu, X.; White, M.; Padmanabhan, N.
- The Astrophysical Journal, Vol. 718, Issue 2
Low redshift baryon acoustic oscillation measurement from the reconstructed 6-degree field galaxy survey
journal, September 2018
- Carter, Paul; Beutler, Florian; Percival, Will J.
- Monthly Notices of the Royal Astronomical Society, Vol. 481, Issue 2
Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture
journal, October 2008
- Matsubara, Takahiko
- Physical Review D, Vol. 78, Issue 8