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Title: CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations

Abstract

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 ,more » 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. 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-National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE
OSTI Identifier:
1530436
DOE Contract Number:  
AC02-05CH11231
Resource Type:
Journal Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2470-0010
Country of Publication:
United States
Language:
English

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. doi:10.1103/PhysRevD.99.063511.
Namikawa, Toshiya, Bose, Benjamin, Bouchet, François R., Takahashi, Ryuichi, and Taruya, Atsushi. Fri . "CMB lensing bispectrum: Assessing analytical predictions against full-sky lensing simulations". United States. doi:10.1103/PhysRevD.99.063511.
@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 = {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. We conclude by discussing the bispectrum prediction in some theories of modified gravity.},
doi = {10.1103/PhysRevD.99.063511},
journal = {Physical Review D},
issn = {2470-0010},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}