CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations
Abstract
We report that cosmic microwave background (CMB) lensing is an integrated effect whose kernel is greater than half the peak value in the range 1 < z < 5. Measuring this effect offers a powerful tool to probe the large-scale structure of the Universe at high redshifts. With the increasing precision of ongoing CMB surveys, other statistics than the lensing power spectrum, in particular the lensing bispectrum, will be measured at high statistical significance. This will provide ways to improve the constraints on cosmological models and lift degeneracies. Following up on an earlier paper, we test analytical predictions of the CMB lensing bispectrum against full-sky lensing simulations, and we discuss their validity and limitation in detail. The tree-level prediction of perturbation theory agrees with the simulation only up to ℓ ~ 200 , but the one-loop order allows capturing the simulation results up to ℓ ~ 600 . We also show that analytical predictions based on fitting formulas for the matter bispectrum agree reasonably well with simulation results, although the precision of the agreement depends on the configurations and scales considered. For instance, the agreement is at the 10% level for the equilateral configuration at multipoles up to ℓ ~more »
- Authors:
-
- Univ. of Cambridge (United Kingdom). Dept. of Applied mathematics and Theoretical Physics; National Taiwan Univ., Taipei (Taiwan). Leung Center for Cosmology and Particle Astrophysics
- Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; Univ. de Geneve (Switzerland). Dept. de Physique Theoretique
- Sorbonne Univ., Paris (France). Inst. d'Astrophysique de Paris
- Hirosaki Univ. (Japan). Faculty of Science and Technology
- Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics, Center for Gravitational Physics; Univ. of Tokyo (Japan). Inst. for Advanced Studies (UTIAS), Kavli Inst. for the Physics and Mathematics of the Universe
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1530436
- Alternate Identifier(s):
- OSTI ID: 1499065
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS
Citation Formats
Namikawa, Toshiya, Bose, Benjamin, Bouchet, François R., Takahashi, Ryuichi, and Taruya, Atsushi. CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.99.063511.
Namikawa, Toshiya, Bose, Benjamin, Bouchet, François R., Takahashi, Ryuichi, & Taruya, Atsushi. CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations. United States. https://doi.org/10.1103/PhysRevD.99.063511
Namikawa, Toshiya, Bose, Benjamin, Bouchet, François R., Takahashi, Ryuichi, and Taruya, Atsushi. 2019.
"CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations". United States. https://doi.org/10.1103/PhysRevD.99.063511. https://www.osti.gov/servlets/purl/1530436.
@article{osti_1530436,
title = {CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations},
author = {Namikawa, Toshiya and Bose, Benjamin and Bouchet, François R. and Takahashi, Ryuichi and Taruya, Atsushi},
abstractNote = {We report that cosmic microwave background (CMB) lensing is an integrated effect whose kernel is greater than half the peak value in the range 1 < z < 5. Measuring this effect offers a powerful tool to probe the large-scale structure of the Universe at high redshifts. With the increasing precision of ongoing CMB surveys, other statistics than the lensing power spectrum, in particular the lensing bispectrum, will be measured at high statistical significance. This will provide ways to improve the constraints on cosmological models and lift degeneracies. Following up on an earlier paper, we test analytical predictions of the CMB lensing bispectrum against full-sky lensing simulations, and we discuss their validity and limitation in detail. The tree-level prediction of perturbation theory agrees with the simulation only up to ℓ ~ 200 , but the one-loop order allows capturing the simulation results up to ℓ ~ 600 . We also show that analytical predictions based on fitting formulas for the matter bispectrum agree reasonably well with simulation results, although the precision of the agreement depends on the configurations and scales considered. For instance, the agreement is at the 10% level for the equilateral configuration at multipoles up to ℓ ~ 2000 , but the difference in the squeezed limit increases to more than a factor of 2 at ℓ ~ 2000 . This discrepancy appears to come from limitations in the fitting formula of the matter bispectrum. We also find that the analytical prediction for the post-Born correction to the bispectrum is in good agreement with the simulation. Finally, we conclude by discussing the bispectrum prediction in some theories of modified gravity.},
doi = {10.1103/PhysRevD.99.063511},
url = {https://www.osti.gov/biblio/1530436},
journal = {Physical Review D},
issn = {2470-0010},
number = 6,
volume = 99,
place = {United States},
year = {Tue Mar 12 00:00:00 EDT 2019},
month = {Tue Mar 12 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
CMB lensing bispectrum from nonlinear growth of the large scale structure
journal, June 2016
- Namikawa, Toshiya
- Physical Review D, Vol. 93, Issue 12
Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017
- Sherwin, Blake D.; van Engelen, Alexander; Sehgal, Neelima
- Physical Review D, Vol. 95, Issue 12
Models of cosmic acceleration that evade solar system tests
journal, September 2007
- Hu, Wayne; Sawicki, Ignacy
- Physical Review D, Vol. 76, Issue 6
Weak lensing of the CMB: A harmonic approach
journal, July 2000
- Hu, Wayne
- Physical Review D, Vol. 62, Issue 4
A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data
journal, August 2012
- van Engelen, A.; Keisler, R.; Zahn, O.
- The Astrophysical Journal, Vol. 756, Issue 2
An improved fitting formula for the dark matter bispectrum
journal, February 2012
- Gil-Marín, Héctor; Wagner, Christian; Fragkoudi, Frantzeska
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 02
Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
journal, November 2017
- Takahashi, Ryuichi; Hamana, Takashi; Shirasaki, Masato
- The Astrophysical Journal, Vol. 850, Issue 1
Weak gravitational lensing of the CMB
journal, June 2006
- Lewis, A.; Challinor, A.
- Physics Reports, Vol. 429, Issue 1
Impact of post-Born lensing on the CMB
journal, August 2016
- Pratten, Geraint; Lewis, Antony
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 08
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000
- Lewis, Antony; Challinor, Anthony; Lasenby, Anthony
- The Astrophysical Journal, Vol. 538, Issue 2
CMB weak-lensing beyond the Born approximation: a numerical approach
journal, February 2018
- Fabbian, Giulio; Calabrese, Matteo; Carbone, Carmelita
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 02
Matter bispectrum beyond Horndeski theories
journal, May 2018
- Hirano, Shin’ichi; Kobayashi, Tsutomu; Tashiro, Hiroyuki
- Physical Review D, Vol. 97, Issue 10
Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003
- Smith, R. E.; Peacock, J. A.; Jenkins, A.
- Monthly Notices of the Royal Astronomical Society, Vol. 341, Issue 4
Effect of lensing non-Gaussianity on the CMB power spectra
journal, December 2016
- Lewis, Antony; Pratten, Geraint
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 12
New Class of Consistent Scalar-Tensor Theories
journal, May 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Physical Review Letters, Vol. 114, Issue 21
HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005
- Gorski, K. M.; Hivon, E.; Banday, A. J.
- The Astrophysical Journal, Vol. 622, Issue 2
Revising the Halofit Model for the Nonlinear Matter Power Spectrum
journal, December 2012
- Takahashi, Ryuichi; Sato, Masanori; Nishimichi, Takahiro
- The Astrophysical Journal, Vol. 761, Issue 2
The cosmological simulation code gadget-2
journal, December 2005
- Springel, Volker
- Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4
Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
journal, February 2016
- Langlois, David; Noui, Karim
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
The one-loop matter bispectrum as a probe of gravity and dark energy
journal, October 2018
- Bose, Benjamin; Taruya, Atsushi
- Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 10
Probing cosmology with weak lensing selected clusters – I. Halo approach and all-sky simulations
journal, September 2015
- Shirasaki, Masato; Hamana, Takashi; Yoshida, Naoki
- Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 3
Hamiltonian analysis of higher derivative scalar-tensor theories
journal, July 2016
- Langlois, David; Noui, Karim
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
4D gravity on a brane in 5D Minkowski space
journal, July 2000
- Dvali, Gia; Gabadadze, Gregory; Porrati, Massimo
- Physics Letters B, Vol. 485, Issue 1-3
Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
journal, April 2016
- Lazanu, Andrei; Giannantonio, Tommaso; Schmittfull, Marcel
- Physical Review D, Vol. 93, Issue 8
Second-order scalar-tensor field equations in a four-dimensional space
journal, September 1974
- Horndeski, Gregory Walter
- International Journal of Theoretical Physics, Vol. 10, Issue 6
Nonlinear evolution of the matter power spectrum in modified theories of gravity
journal, June 2009
- Koyama, Kazuya; Taruya, Atsushi; Hiramatsu, Takashi
- Physical Review D, Vol. 79, Issue 12
Constructing perturbation theory kernels for large-scale structure in generalized cosmologies
journal, July 2016
- Taruya, Atsushi
- Physical Review D, Vol. 94, Issue 2
Exploring gravitational theories beyond Horndeski
journal, February 2015
- Gleyzes, Jérôme; Langlois, David; Piazza, Federico
- Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 02
Measurement of the Cosmic Microwave Background Polarization Lensing Power Spectrum with the POLARBEAR Experiment
journal, July 2014
- Ade, P. A. R.; Akiba, Y.; Anthony, A. E.
- Physical Review Letters, Vol. 113, Issue 2
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
Effect of non-Gaussian lensing deflections on CMB lensing measurements
journal, December 2018
- Böhm, Vanessa; Sherwin, Blake D.; Liu, Jia
- Physical Review D, Vol. 98, Issue 12
GADGET: a code for collisionless and gasdynamical cosmological simulations
journal, April 2001
- Springel, Volker; Yoshida, Naoki; White, Simon D. M.
- New Astronomy, Vol. 6, Issue 2
Weak lensing of the CMB
journal, June 2010
- Hanson, Duncan; Challinor, Anthony; Lewis, Antony
- General Relativity and Gravitation, Vol. 42, Issue 9
Bicep2/ KECK ARRAY VIII: MEASUREMENT OF GRAVITATIONAL LENSING FROM LARGE-SCALE B -MODE POLARIZATION
journal, December 2016
- Ade, P. A. R.; Ahmed, Z.; Aikin, R. W.
- The Astrophysical Journal, Vol. 833, Issue 2
The CMB bispectrum
journal, December 2012
- Fergusson, J. R.; Liguori, M.; Shellard, E. P. S.
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 12
Lensing reconstruction in post-Born cosmic microwave background weak lensing
journal, August 2018
- Beck, Dominic; Fabbian, Giulio; Errard, Josquin
- Physical Review D, Vol. 98, Issue 4
CMB lensing bispectrum as a probe of modified gravity theories
journal, August 2018
- Namikawa, Toshiya; Bouchet, François R.; Taruya, Atsushi
- Physical Review D, Vol. 98, Issue 4
A perturbative approach to the redshift space power spectrum: beyond the Standard Model
journal, August 2016
- Bose, Benjamin; Koyama, Kazuya
- Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 08
A fitting formula for the non-linear evolution of the bispectrum
journal, August 2001
- Scoccimarro, R.; Couchman, H. M. P.
- Monthly Notices of the Royal Astronomical Society, Vol. 325, Issue 4
CMB lensing beyond the power spectrum: Cosmological constraints from the one-point probability distribution function and peak counts
journal, November 2016
- Liu, Jia; Hill, J. Colin; Sherwin, Blake D.
- Physical Review D, Vol. 94, Issue 10
Cosmological constraints from Subaru weak lensing cluster counts
journal, June 2015
- Hamana, Takashi; Sakurai, Junya; Koike, Michitaro
- Publications of the Astronomical Society of Japan, Vol. 67, Issue 3
MODELING THE NONLINEAR CLUSTERING IN MODIFIED GRAVITY MODELS. I. A FITTING FORMULA FOR THE MATTER POWER SPECTRUM OF f ( R ) GRAVITY
journal, March 2014
- Zhao, Gong-Bo
- The Astrophysical Journal Supplement Series, Vol. 211, Issue 2