Evidence for Gravitational Lensing of the Cosmic Microwave Background Polarization from Cross-Correlation with the Cosmic Infrared Background

Ade, Peter A. R.; Akiba, Y.; Anthony, A. E.; Arnold, K.; Atlas, M.; Barron, Darcy; Boettger, D.; Borrill, J.; Borys, C.; Chapman, Scott; Chinone, Yuji; Dobbs, M.; Elleflot, T.; Errard, Josquin; Fabbian, Giulio; Feng, Chang; Flanigan, D.; Gilbert, A.; Grainger, William F.; Halverson, N. W.; Hasegawa, M.; Hattori, K.; Hazumi, M.; Holzapfel, W. L.; Hori, Y.; Howard, J.; Hyland, P.; Inoue, Yuki; Jaehnig, Greg; Jaffe, A. H.; Keating, Brian; Kermish, Z.; Keskitalo, R.; Kisner, T. S.; Jeune, M. Le; Lee, A. T.; Leitch, E. M.; Linder, Eric V.; Lungu, Marius; Matsuda, Frederick; Matsumura, Tomotake; Meng, Xiaofan; Miller, Nathan J.; Morii, H.; Moyerman, S.; Myers, Michael J.; Navaroli, M.; Nishino, Hitoshi; Paar, H. P.; Peloton, J.; Poletti, D.; Quealy, E.; Rebeiz, Gabriel M.; Reichardt, Christian; Richards, P. L.; Ross, C.; Rotermund, K. M.; Schanning, I.; Schenck, D. E.; Sherwin, B. D.; Shimizu, A.; Shimmin, C. O.; Shimon, Meir; Siritanasak, P.; Smecher, G.; Spieler, H.; Stebor, N.; Steinbach, B.; Stompor, R.; Suzuki, Aritoki; Takakura, S.; Tikhomirov, Alexei; Tomaru, T.; Wilson, B.; Yadav, Amit; Zahn, O.

doi:10.1103/physrevlett.112.131302

Cited by 86 publications

(38 citation statements)

References 34 publications

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“…The symmetric tensor f µν is defined on the hypersurface orthogonal to the observer's velocity e (0) µ and the direction of a photon n µ ≡ e (i) µ n (i) : 11) where S µν is the projection operator (screen projector),…”

Section: Distribution Functionmentioning

confidence: 99%

“…(4.78) because of the orthogonality of the spherical harmonics Y lm (k). 11 As also mentioned in Ref. [25], the bispectrum from products of the first-order perturbations can be written in a form similar to the standard formula for the local-type bispectrum, where the integration over the Fourier modes are split into one-dimensional integrations [45].…”

Section: Computation Of the Bispectrummentioning

confidence: 99%

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Geodesiccurve-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing

Saito

Naruko

Hiramatsu

et al. 2014

J. Cosmol. Astropart. Phys.

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Abstract. In this paper, we introduce a new approach to a treatment of the gravitational effects (redshift, time delay and lensing) on the observed cosmic microwave background (CMB) anisotropies based on the Boltzmann equation. From the Liouville's theorem in curved spacetime, the intensity of photons is conserved along a photon geodesic when non-gravitational scatterings are absent. Motivated by this fact, we derive a second-order line-of-sight formula by integrating the Boltzmann equation along a perturbed geodesic (curve) instead of a background geodesic (line). In this approach, the separation of the gravitational and intrinsic effects are manifest. This approach can be considered as a generalization of the remapping approach of CMB lensing, where all the gravitational effects can be treated on the same footing.

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Section: Distribution Functionmentioning

confidence: 99%

Section: Computation Of the Bispectrummentioning

confidence: 99%

Geodesiccurve-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing

Saito

Naruko

Hiramatsu

et al. 2014

J. Cosmol. Astropart. Phys.

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“…The signal-to-noise ratio for lensing reconstruction from CMB polarization data is expected to be much better in the future, because polarization lensing is not limited by cosmic variance, with B modes on small scales expected to be vanishingly small on the unlensed sky. First examples of CMB lensing reconstruction from polarization data use SPT or POLARBEAR data in cross-correlation or autocorrelation [14][15][16], based on CMB polarization observations on small patches of the sky at high resolution.…”

Section: Introductionmentioning

confidence: 99%

CMB lensing reconstruction using cut sky polarization maps and pureBmodes

2014

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(2014) CMB lensing reconstruction using cut sky polarization maps and pure B modes. Physical Review D, 90 (2). ISSN 1550-7998 This version is available from Sussex Research Online: http://sro.sussex.ac.uk/57292/ This document is made available in accordance with publisher policies and may differ from the published version or from the version of record. If you wish to cite this item you are advised to consult the publisher's version. Please see the URL above for details on accessing the published version. Copyright and reuse:Sussex Research Online is a digital repository of the research output of the University.Copyright and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable, the material made available in SRO has been checked for eligibility before being made available.Copies of full text items generally can be reproduced, displayed or performed and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way.CMB lensing reconstruction using cut sky polarization maps and pure B modes Detailed measurements of the CMB lensing signal are an important scientific goal of ongoing groundbased CMB polarization experiments, which are mapping the CMB at high resolution over small patches of the sky. In this work we simulate CMB polarization lensing reconstruction for the EE and EB quadratic estimators with current-generation noise levels and resolution, and show that without boundary effects the known and expected zeroth and first order N ð0Þ and N ð1Þ biases provide an adequate model for nonsignal contributions to the lensing power spectrum estimators. Small sky areas present a number of additional challenges for polarization lensing reconstruction, including leakage of E modes into B modes. We show how simple windowed estimators using filtered pure B modes can greatly reduce the mask-induced meanfield lensing signal and reduce variance in the estimators. This provides a simple method (used with recent observations) that gives an alternative to more optimal but expensive inverse-variance filtering.

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“…A recent highlight of this approach is constraining the high-redshift star formation rate from correlations between CMB lensing and clustering of the cosmic infrared background (CIB) [80][81][82][83][84] -the unresolved flux from dusty, star-forming galaxies. In contrast to the CIB spectra across frequencies, the cross-correlation with lensing is insensitive to residual Galactic dust emission in the CIB maps, and does not require separation of the shot noise that arises from Poisson fluctuations in the number density of the galaxies that contribute to the CIB.…”

Section: High-redshift Astrophysicsmentioning

confidence: 99%

Exploring cosmic origins with CORE: Gravitational lensing of the CMB

Challinor

Allison

Carron

et al. 2018

J. Cosmol. Astropart. Phys.

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Lensing of the cosmic microwave background (CMB) is now a well-developed probe of the clustering of the large-scale mass distribution over a broad range of redshifts. By exploiting the non-Gaussian imprints of lensing in the polarization of the CMB, the CORE mission will allow production of a clean map of the lensing deflections over nearly the full-sky. The number of high-S/N modes in this map will exceed current CMB lensing maps by a factor of 40, and the measurement will be sample-variance limited on all scales where linear theory is valid. Here, we summarise this mission product and discuss the science that will follow from its power spectrum and the cross-correlation with other clustering data. For example, the summed mass of neutrinos will be determined to an accuracy of 17 meV combining CORE lensing and CMB two-point information with contemporaneous measurements of the baryon acoustic oscillation feature in the clustering of galaxies, three times smaller than the minimum total mass allowed by neutrino oscillation measurements. Lensing has applications across many other science goals of CORE, including the search for B-mode polarization from primordial gravitational waves. Here, lens-induced B-modes will dominate over instrument noise, limiting constraints on the power spectrum amplitude of primordial gravitational waves. With lensing reconstructed by CORE, one can “delens” the observed polarization internally, reducing the lensing B-mode power by 60 %. This can be improved to 70 % by combining lensing and measurements of the cosmic infrared background from CORE, leading to an improvement of a factor of 2.5 in the error on the amplitude of primordial gravitational waves compared to no delensing (in the null hypothesis of no primordial B-modes). Lensing measurements from CORE will allow calibration of the halo masses of the tens of thousands of galaxy clusters that it will find, with constraints dominated by the clean polarization-based estimators. The 19 frequency channels proposed for CORE will allow accurate removal of Galactic emission from CMB maps. We present initial findings that show that residual Galactic foreground contamination will not be a significant source of bias for lensing power spectrum measurements with CORE.

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Evidence for Gravitational Lensing of the Cosmic Microwave Background Polarization from Cross-Correlation with the Cosmic Infrared Background

Cited by 86 publications

References 34 publications

Geodesiccurve-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing

Geodesiccurve-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing

CMB lensing reconstruction using cut sky polarization maps and pureBmodes

Exploring cosmic origins with CORE: Gravitational lensing of the CMB

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