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CMB weak-lensing beyond the Born approximation: a numerical approach

Journal Article · · Journal of Cosmology and Astroparticle Physics
 [1];  [2];  [3]
  1. Univ. Paris-Sud, Orsay (France). Inst. d'Astrophysique Spatiale, CNRS; SISSA, Triste (Italy); Sezione di Triste, Triste (Italy). INFN
  2. Astronomical Observatory of the Autonomous Region of the Aosta Valley, Nus (Italy); Osservatorio Astrofisico di Torino, Pino Torinese (Italy). INAF; Osservatorio Astrofisica di Torino, Pino Torinese (Italy). INAF
  3. Univ. delgi Studi di Milano, Milano (Italy). Dipartmento di Fisica; Osservatorio Astronomico di Brera, Milano (Italy). INAF; Sezione di Milano, Milano (Italy). INFN
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We perform a complete study of the gravitational lensing effect beyond the Born approximation on the Cosmic Microwave Background (CMB) anisotropies using a multiple-lens raytracing technique through cosmological N-body simulations of the DEMNUni suite. The impact of second-order effects accounting for the non-linear evolution of large-scale structures is evaluated propagating for the first time the full CMB lensing jacobian together with the light rays trajectories. We carefully investigate the robustness of our approach against several numerical effects in the raytracing procedure and in the N-body simulation itself, and find no evidence of large contaminations. We discuss the impact of beyond-Born corrections on lensed CMB observables, and compare our results with recent analytical predictions that appeared in the literature, finding a good agreement, and extend these results to smaller angular scales. We measure the gravitationally-induced CMB polarization rotation that appears in the geodesic equation at second order, and compare this result with the latest analytical predictions. We then present the detection prospect of beyond-Born effects with the future CMB-S4 experiment. We show that corrections to the temperature power spectrum can be measured only if a good control of the extragalactic foregrounds is achieved. Conversely, the beyond-Born corrections on E and B-modes power spectra will be much more difficult to detect.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1523616
Journal Information:
Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 02 Vol. 2018; ISSN 1475-7516
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

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CMB lensing tomography with the DES Science Verification galaxies text January 2015
Advanced ACTPol Cryogenic Detector Arrays and Readout text January 2015
Cross-correlation of gravitational lensing from DES Science Verification data with SPT and Planck lensing text January 2015
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A bias to CMB lensing measurements from the bispectrum of large-scale structure text January 2016
Impact of post-Born lensing on the CMB text January 2016
CMB-lensing beyond the Born approximation text January 2016
Establishing the origin of CMB B-mode polarization text January 2016
On the validity of the Born approximation for beyond-Gaussian weak lensing observables text January 2016
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Hydrodynamic Simulations of the Sunyaev-Zel'dovich effect(s) text January 2000
Geometry of weak lensing of CMB polarization text January 2003
Simulating weak lensing by large scale structure text January 2003
Reconstruction of lensing from the cosmic microwave background polarization text January 2003
Testing a new analytic model for gravitational lensing probabilities text January 2005
The Born and Lens-Lens Corrections to Weak Gravitational Lensing Angular Power Spectra text January 2006
Weak Gravitational Lensing of the CMB text January 2006
An All-Sky Analysis of Polarization in the Microwave Background text January 1996
Measuring the three-dimensional shear from simulation data, with applications to weak gravitational lensing text January 1998
Ray Tracing Simulations of Weak Lensing by Large-Scale Structure text January 1999
Impact of Next-to-Leading Order Contributions to Cosmic Microwave Background Lensing text January 2017
A measurement of the correlation of galaxy surveys with CMB lensing convergence maps from the south pole telescope text January 2012

Cited By (15)

Finite distance corrections to the light deflection in a gravitational field with a plasma medium text January 2018
Cosmology with dropout selection: Straw-man surveys and CMB lensing text January 2019
CMB lensing reconstruction biases in cross-correlation with large-scale structure probes journal October 2019
Rotation of the CMB polarization by foreground lensing journal August 2019
Expressions for optical scalars and deflection angle at second order in terms of curvature scalars journal April 2018
Weak lensing of intensity mapping: The cosmic infrared background journal June 2018
Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment journal June 2018
Lensing reconstruction in post-Born cosmic microwave background weak lensing journal August 2018
Effect of non-Gaussian lensing deflections on CMB lensing measurements journal December 2018
Measuring the small-scale matter power spectrum with high-resolution CMB lensing journal January 2019
Evidence for the Cross-correlation between Cosmic Microwave Background Polarization Lensing from Polarbear and Cosmic Shear from Subaru Hyper Suprime-Cam journal September 2019
Cross-correlation of CMB Polarization Lensing with High- z Submillimeter Herschel -ATLAS Galaxies journal November 2019
Expressions for optical scalars and deflection angle at second order in terms of curvature scalars text January 2017
Weak Lensing of Intensity Mapping: the Cosmic Infrared Background text January 2018
On the effect of non-Gaussian lensing deflections on CMB lensing measurements text January 2018

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