skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 » 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.« less

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Cambridge (United Kingdom). Dept. of Applied mathematics and Theoretical Physics; National Taiwan Univ., Taipei (Taiwan). Leung Center for Cosmology and Particle Astrophysics
  2. Kyoto Univ. (Japan). Yukawa Inst. for Theoretical Physics; Univ. de Geneve (Switzerland). Dept. de Physique Theoretique
  3. Sorbonne Univ., Paris (France). Inst. d'Astrophysique de Paris
  4. Hirosaki Univ. (Japan). Faculty of Science and Technology
  5. 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}
}

Journal Article:

Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

CMB lensing bispectrum from nonlinear growth of the large scale structure
journal, June 2016


Two-season Atacama Cosmology Telescope polarimeter lensing power spectrum
journal, June 2017


Models of f ( R ) cosmic acceleration that evade solar system tests
journal, September 2007


Weak lensing of the CMB: A harmonic approach
journal, July 2000


A Measurement of Gravitational Lensing of the Microwave Background Using South pole Telescope data
journal, August 2012


An improved fitting formula for the dark matter bispectrum
journal, February 2012


Full-sky Gravitational Lensing Simulation for Large-area Galaxy Surveys and Cosmic Microwave Background Experiments
journal, November 2017


Weak gravitational lensing of the CMB
journal, June 2006


Impact of post-Born lensing on the CMB
journal, August 2016


Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000


CMB weak-lensing beyond the Born approximation: a numerical approach
journal, February 2018


Matter bispectrum beyond Horndeski theories
journal, May 2018


Stable clustering, the halo model and non-linear cosmological power spectra
journal, June 2003


Effect of lensing non-Gaussianity on the CMB power spectra
journal, December 2016


New Class of Consistent Scalar-Tensor Theories
journal, May 2015


HEALPix: A Framework for High‐Resolution Discretization and Fast Analysis of Data Distributed on the Sphere
journal, April 2005


Revising the Halofit Model for the Nonlinear Matter Power Spectrum
journal, December 2012


The cosmological simulation code gadget-2
journal, December 2005


Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
journal, February 2016


The one-loop matter bispectrum as a probe of gravity and dark energy
journal, October 2018


Probing cosmology with weak lensing selected clusters – I. Halo approach and all-sky simulations
journal, September 2015


Hamiltonian analysis of higher derivative scalar-tensor theories
journal, July 2016


4D gravity on a brane in 5D Minkowski space
journal, July 2000


Matter bispectrum of large-scale structure: Three-dimensional comparison between theoretical models and numerical simulations
journal, April 2016


Second-order scalar-tensor field equations in a four-dimensional space
journal, September 1974


Nonlinear evolution of the matter power spectrum in modified theories of gravity
journal, June 2009


Exploring gravitational theories beyond Horndeski
journal, February 2015


Measurement of the Cosmic Microwave Background Polarization Lensing Power Spectrum with the POLARBEAR Experiment
journal, July 2014


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


Effect of non-Gaussian lensing deflections on CMB lensing measurements
journal, December 2018


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


Weak lensing of the CMB
journal, June 2010


Bicep2/ KECK ARRAY VIII: MEASUREMENT OF GRAVITATIONAL LENSING FROM LARGE-SCALE B -MODE POLARIZATION
journal, December 2016


The CMB bispectrum
journal, December 2012


Lensing reconstruction in post-Born cosmic microwave background weak lensing
journal, August 2018


CMB lensing bispectrum as a probe of modified gravity theories
journal, August 2018


A perturbative approach to the redshift space power spectrum: beyond the Standard Model
journal, August 2016


A fitting formula for the non-linear evolution of the bispectrum
journal, August 2001


Cosmological constraints from Subaru weak lensing cluster counts
journal, June 2015