Fetching the paper…

Reading the bibliography…

2017

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

Fabbian, Giulio, Calabrese, Matteo, Carbone, Carmelita

Original
PDF
Post on X

Understand

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 trajectory.
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.

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

Built on

M. Petkova, R. B. Metcalf and C. Giocoli, GLAMER - II. Multiple-plane gravitational lensing , MNRAS 445
Original
1966
Earlier work this paper cites.
R. Blandford and R. Narayan, Fermat’s principle, caustics, and the classification of gravitational lens images , ApJ 310
1986
Earlier work this paper cites.
World Scientific Pub., 1988
D. Varshalovich, A. Moskalev and V. Khersonskiĭ, Quantum Theory of Angular Momentum: Irreducible Tensors, Spherical Harmonics, Vector Coupling Coefficients, 3nj Symbol s · 1988
Earlier work this paper cites.
A. Stebbins, Weak Lensing On the Celestial Sphere , ArXiv Astrophysics e-prints (Sept., 1996) , [ astro-ph/9609149 ]
1996
Earlier work this paper cites.
P. F. Muciaccia, P. Natoli and N. Vittorio, Fast Spherical Harmonic Analysis: A Quick Algorithm for Generating and/or Inverting Full-Sky, High-Resolution Cosmic Microwave Background Anisotropy Maps , ApJ Letters 488
1997
Earlier work this paper cites.
M. Zaldarriaga and U. Seljak, All-sky analysis of polarization in the microwave background , Phys. Rev. D 55
1997
Earlier work this paper cites.
H. M. P. Couchman, A. J. Barber and P. A. Thomas, Measuring the three-dimensional shear from simulation data, with applications to weak gravitational lensing , MNRAS 308
1999
Earlier work this paper cites.
B. Jain, U. Seljak and S. White, Ray-tracing Simulations of Weak Lensing by Large-Scale Structure , ApJ 530
2000
Earlier work this paper cites.
W. Hu, Weak lensing of the CMB: A harmonic approach , Phys. Rev. D 62
2000
Earlier work this paper cites.
V. Springel, M. White and L. Hernquist, Hydrodynamic Simulations of the Sunyaev-Zeldovich Effect(s) , ApJ 549
2001
Earlier work this paper cites.
A. Cooray and W. Hu, Second-Order Corrections to Weak Lensing by Large-Scale Structure , ApJ 574
2002
Earlier work this paper cites.
U.-L. Pen, L. Van Waerbeke and Y. Mellier, Gravity and Nongravity Modes in the VIRMOS-DESCART Weak-Lensing Survey , ApJ 567
2002
Earlier work this paper cites.
A. Challinor and G. Chon, Geometry of weak lensing of CMB polarization , Phys. Rev. D 66
2002
Earlier work this paper cites.
W. Hu and T. Okamoto, Mass Reconstruction with Cosmic Microwave Background Polarization , ApJ 574
2002
Earlier work this paper cites.
C. M. Hirata and U. Seljak, Reconstruction of lensing from the cosmic microwave background polarization , Phys. Rev. D 68
2003
Earlier work this paper cites.
C. Vale and M. White, Simulating Weak Lensing by Large-Scale Structure , ApJ 592
2003
Earlier work this paper cites.
V. Springel, The Cosmological simulation code GADGET-2 , Mon. Not. Roy. Astron. Soc. 364
2005
Earlier work this paper cites.
A. Lewis, Lensed CMB simulation and parameter estimation , Phys. Rev. D 71
2005
Earlier work this paper cites.
C. Shapiro and A. Cooray, The Born and lens lens corrections to weak gravitational lensing angular power spectra , JCAP 3
2006
Earlier work this paper cites.
A. Lewis and A. Challinor, Weak gravitational lensing of the CMB , Physics Reports 429
2006
Earlier work this paper cites.
S. Das and J. P. Ostriker, Testing a New Analytic Model for Gravitational Lensing Probabilities , ApJ 645
2006
Earlier work this paper cites.
S. Hilbert, R. B. Metcalf and S. D. M. White, Imaging the cosmic matter distribution using gravitational lensing of pre-galactic HI , MNRAS 382
Original
2007
Earlier work this paper cites.
F. Pace, M. Maturi, M. Meneghetti, M. Bartelmann, L. Moscardini and K. Dolag, Testing the reliability of weak lensing cluster detections , A&A 471
2007
Earlier work this paper cites.
P. Fosalba, E. Gaztañaga, F. J. Castander and M. Manera, The onion universe: all sky lightcone simulations in spherical shells , MNRAS 391
Original
2008
Earlier work this paper cites.
S. Das and P. Bode, A Large Sky Simulation of the Gravitational Lensing of the Cosmic Microwave Background , ApJ 682
Original
2008
Earlier work this paper cites.
C. Carbone, V. Springel, C. Baccigalupi, M. Bartelmann and S. Matarrese, Full-sky maps for gravitational lensing of the cosmic microwave background , MNRAS 388
Original
2008
Earlier work this paper cites.
M. Li and X. Zhang, Cosmological CPT violating effect on CMB polarization , Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
LSST Science Collaboration, P. A. Abell, J. Allison, S. F. Anderson, J. R. Andrew, J. R. P. Angel et al., LSST Science Book, Version 2.0 , ArXiv e-prints (Dec., 2009) , [ 0912.0201 ]
Original
2009
Earlier work this paper cites.
C. Carbone, C. Baccigalupi, M. Bartelmann, S. Matarrese and V. Springel, Lensed CMB temperature and polarization maps from the Millennium Simulation , MNRAS 396
Original
2009
Earlier work this paper cites.
S. Hilbert, J. Hartlap, S. D. M. White and P. Schneider, Ray-tracing through the Millennium Simulation: Born corrections and lens-lens coupling in cosmic shear and galaxy-galaxy lensing , A&A 499
Original
2009
Earlier work this paper cites.
M. Kamionkowski, How to Derotate the Cosmic Microwave Background Polarization , Physical Review Letters 102
Original
2009
Earlier work this paper cites.
V. Gluscevic, M. Kamionkowski and A. Cooray, Derotation of the cosmic microwave background polarization: Full-sky formalism , Phys. Rev. D 80
Original
2009
Earlier work this paper cites.
E. Krause and C. M. Hirata, Weak lensing power spectra for precision cosmology. Multiple-deflection, reduced shear, and lensing bias corrections , A&A 523
Original
2010
Earlier work this paper cites.
M. Bartelmann, TOPICAL REVIEW Gravitational lensing , Classical and Quantum Gravity 27
Original
2010
Earlier work this paper cites.

Similar

M. Viel, M. G. Haehnelt and V. Springel, The effect of neutrinos on the matter distribution as probed by the Intergalactic Medium , JCAP 1006
Original
2010
Cited alongside, same era.
S. Das, B. D. Sherwin, P. Aguirre, J. W. Appel, J. R. Bond et al., Detection of the Power Spectrum of Cosmic Microwave Background Lensing by the Atacama Cosmology Telescope , Physical Review Letters 107
Original
2011
Cited alongside, same era.
R. Keisler, C. L. Reichardt, K. A. Aird, B. A. Benson, L. E. Bleem et al., A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope , ApJ 743
Original
2011
Cited alongside, same era.
B. Li, L. J. King, G.-B. Zhao and H. Zhao, An analytic ray-tracing algorithm for weak lensing , MNRAS 415
Original
2011
Cited alongside, same era.

Then

B. A. Benson, P. A. R. Ade, Z. Ahmed, S. W. Allen, K. Arnold et al., SPT-3G: a next-generation cosmic microwave background polarization experiment on the South Pole telescope , in Millimeter, Submillimeter, and Far-Infrared Detectors and Instrumentation for Astronomy VII , vol. 9153 of Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series , p. 91531P, July, 2014, 1407.2973 , DOI
Original
2014
Later among the works it cites.
S. Hagstotz, B. M. Schäfer and P. M. Merkel, Born-corrections to weak lensing of the cosmic microwave background temperature and polarisation anisotropies , ArXiv e-prints (Oct., 2014) , [ 1410.8452 ]
Original
2014
Later among the works it cites.
E. Di Valentino and A. Melchiorri, Planck constraints on neutrino isocurvature density perturbations , Phys. Rev. D 90
Original
2014
Later among the works it cites.
L. Dai, Rotation of the Cosmic Microwave Background Polarization from Weak Gravitational Lensing , Physical Review Letters 112
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

C. Carbone, A. Mangilli and L. Verde, Isocurvature modes and Baryon Acoustic Oscillations II: gains from combining CMB and Large Scale Structure , JCAP 9

2011

Cited alongside, same era.

M. Szydlarski, P. Esterie, J. Falcou, L. Grigori and R. Stompor, Parallel Spherical Harmonic Transforms on heterogeneous architectures (GPUs/multi-core CPUs) , arXiv:astro-ph/1106.0159 (June, 2011) , [ 1106.0159 ]

2011

Cited alongside, same era.

A. Lewis, The real shape of non-Gaussianities , JCAP 10

2011

Cited alongside, same era.

A. van Engelen, R. Keisler, O. Zahn, K. A. Aird, B. A. Benson et al., A Measurement of Gravitational Lensing of the Microwave Background Using South Pole Telescope Data , ApJ 756

2012

Cited alongside, same era.

L. E. Bleem, A. van Engelen, G. P. Holder, K. A. Aird, R. Armstrong et al., A Measurement of the Correlation of Galaxy Surveys with CMB Lensing Convergence Maps from the South Pole Telescope , ApJ Letters 753

2012

Cited alongside, same era.

B. D. Sherwin, S. Das, A. Hajian, G. Addison, J. R. Bond et al., The Atacama Cosmology Telescope: Cross-correlation of cosmic microwave background lensing and quasars , Phys. Rev. D 86

2012

Cited alongside, same era.

M. Killedar, P. D. Lasky, G. F. Lewis and C. J. Fluke, Gravitational lensing with three-dimensional ray tracing , MNRAS 420

2012

Cited alongside, same era.

I. Hupca, J. Falcou, L. Grigori and R. Stompor, Spherical harmonic transform with gpus , in Euro-Par 2011: Parallel Processing Workshops , pp. 355–366, Springer, 2012

2012

Cited alongside, same era.

L. Pogosian, Searching for primordial magnetism with multifrequency cosmic microwave background experiments , MNRAS 438

2014

Later among the works it cites.

Planck collaboration, P. A. R. Ade et al., Planck 2015 results. XIII. Cosmological parameters , 1502.01589

2015

Later among the works it cites.

A. van Engelen, B. D. Sherwin, N. Sehgal, G. E. Addison, R. Allison et al., The Atacama Cosmology Telescope: Lensing of CMB Temperature and Polarization Derived from Cosmic Infrared Background Cross-correlation , ApJ 808

2015

Later among the works it cites.

N. Hand, A. Leauthaud, S. Das, B. D. Sherwin, G. E. Addison et al., First measurement of the cross-correlation of CMB lensing and galaxy lensing , Phys. Rev. D 91

2015

Later among the works it cites.

D. Kirk, Y. Omori, A. Benoit-Lévy, R. Cawthon, C. Chang et al., Cross-correlation of gravitational lensing from DES Science Verification data with SPT and Planck lensing , ArXiv e-prints (Dec., 2015) , [ 1512.04535 ]

2015

Later among the works it cites.

S. W. Henderson, R. Allison, J. Austermann, T. Baildon, N. Battaglia et al., Advanced ACTPol Cryogenic Detector Arrays and Readout , ArXiv e-prints (Oct., 2015) , [ 1510.02809 ]

2015

Later among the works it cites.

M. Calabrese, C. Carbone, G. Fabbian, M. Baldi and C. Baccigalupi, Multiple lensing of the cosmic microwave background anisotropies , JCAP 3

2015

Later among the works it cites.

E. Castorina, C. Carbone, J. Bel, E. Sefusatti and K. Dolag, DEMNUni: the clustering of large-scale structures in the presence of massive neutrinos , JCAP 7

2015

Later among the works it cites.

P. A. R. Ade, K. Arnold, M. Atlas, C. Baccigalupi, D. Barron, D. Boettger et al., POLARBEAR constraints on cosmic birefringence and primordial magnetic fields , Phys. Rev. D 92

Original

2015

Later among the works it cites.

T. Keck Array, BICEP2 Collaborations, :, P. A. R. Ade, Z. Ahmed, R. W. Aikin et al., BICEP2 / Keck Array VIII: Measurement of gravitational lensing from large-scale B-mode polarization , ArXiv e-prints (June, 2016) , [ 1606.01968 ]

2016

Later among the works it cites.

F. Bianchini, A. Lapi, M. Calabrese, P. Bielewicz, J. Gonzalez-Nuevo, C. Baccigalupi et al., Toward a Tomographic Analysis of the Cross-Correlation between Planck CMB Lensing and H-ATLAS Galaxies , ApJ 825

2016

Later among the works it cites.

K. N. Abazajian, P. Adshead, Z. Ahmed, S. W. Allen, D. Alonso, K. S. Arnold et al., CMB-S4 Science Book, First Edition , ArXiv e-prints (Oct., 2016) , [ 1610.02743 ]

2016

Later among the works it cites.

G. Pratten and A. Lewis, Impact of post-Born lensing on the CMB , JCAP 8

Original

2016

Later among the works it cites.

G. Marozzi, G. Fanizza, E. Di Dio and R. Durrer, CMB-lensing beyond the Born approximation , JCAP 9

2016

Later among the works it cites.

A. Lewis and G. Pratten, Effect of lensing non-Gaussianity on the CMB power spectra , JCAP 12

2016

Later among the works it cites.

G. Marozzi, G. Fanizza, E. Di Dio and R. Durrer, CMB-lensing beyond the leading order: temperature and polarization anisotropies , ArXiv e-prints (Dec., 2016) , [ 1612.07263 ]

2016

Later among the works it cites.

A. Petri, Z. Haiman and M. May, On the validity of the Born approximation for beyond-Gaussian weak lensing observables , ArXiv e-prints (Dec., 2016) , [ 1612.00852 ]

2016

Later among the works it cites.

C. Giocoli, E. Jullo, R. B. Metcalf, S. de la Torre, G. Yepes, F. Prada et al., Multi Dark Lens Simulations: weak lensing light-cones and data base presentation , MNRAS 461

Original

2016

Later among the works it cites.

V. Böhm, M. Schmittfull and B. D. Sherwin, Bias to CMB lensing measurements from the bispectrum of large-scale structure , Phys. Rev. D 94

2016

Later among the works it cites.

T. Namikawa, CMB lensing bispectrum from nonlinear growth of the large scale structure , Phys. Rev. D 93

Original

2016

Later among the works it cites.

J. Liu, J. C. Hill, B. D. Sherwin, A. Petri, V. Böhm and Z. Haiman, CMB Lensing Beyond the Power Spectrum: Cosmological Constraints from the One-Point PDF and Peak Counts , ArXiv e-prints (Aug., 2016) , [ 1608.03169 ]

2016

Later among the works it cites.

C. Carbone, M. Petkova and K. Dolag, DEMNUni: ISW, Rees-Sciama, and weak-lensing in the presence of massive neutrinos , JCAP 7

2016

Later among the works it cites.

A. Petri, Mocking the weak lensing universe: The LensTools Python computing package , Astronomy and Computing 17

2016

Later among the works it cites.

T. S. Pereira, C. Pitrou and J.-P. Uzan, Weak-lensing B-modes as a probe of the isotropy of the universe , A&A 585

2016

Later among the works it cites.

C. Sheere, A. van Engelen, P. D. Meerburg and J. Meyers, Establishing the origin of CMB B-mode polarization , ArXiv e-prints (Oct., 2016) , [ 1610.09365 ]

2016

Later among the works it cites.

C. Giocoli, S. Di Meo, M. Meneghetti, E. Jullo, S. de la Torre, L. Moscardini et al., Fast Weak Lensing Simulations with Halo Model , ArXiv e-prints (Jan., 2017) , [ 1701.02739 ]

2017

Closest in time.

A. Lewis, A. Hall and A. Challinor, Emission-angle and polarization-rotation effects in the lensed CMB , JCAP 8

2017

Closest in time.

G. Marozzi, G. Fanizza, E. Di Dio and R. Durrer, Impact of Next-to-Leading Order Contributions to Cosmic Microwave Background Lensing , Physical Review Letters 118

2017

Closest in time.

D. B. Thomas, L. Whittaker, S. Camera and M. L. Brown, Estimating the weak-lensing rotation signal in radio cosmic shear surveys , MNRAS 470

Original

2017

Closest in time.