Planck 2015 results. XV. Gravitational lensing
Abstract
We present the most significant measurement of the cosmic microwave background (CMB) lensing potential to date (at a level of 40 sigma), using temperature and polarization data from the Planck 2015 full-mission release. Using a polarization-only estimator we detect lensing at a significance of 5 sigma. We cross-check the accuracy of our measurement using the wide frequency coverage and complementarity of the temperature and polarization measurements. Public products based on this measurement include an estimate of the lensing potential over approximately 70% of the sky, an estimate of the lensing potential power spectrum in bandpowers for the multipole range 40<L<400 and an associated likelihood for cosmological parameter constraints. We find good agreement between our measurement of the lensing potential power spectrum and that found in the best-fitting LCDM model based on the Planck temperature and polarization power spectra. Using the lensing likelihood alone we obtain a percent-level measurement of the parameter combination . We combine our determination of the lensing potential with the E-mode polarization also measured by Planck to generate an estimate of the lensing B-mode. We show that this lensing B-mode estimate is correlated with the B-modes observed directly by Planck at the expected level and with a statistical significance of 10 sigma, confirming Planck's sensitivity to this known sky signal. We also correlate our lensing potential estimate with the large-scale temperature anisotropies, detecting a cross-correlation at the 3 sigma level, as expected due to dark energy in the concordance LCDM model.
Keywords
Cite
@article{arxiv.1502.01591,
title = {Planck 2015 results. XV. Gravitational lensing},
author = {Planck Collaboration and P. A. R. Ade and N. Aghanim and M. Arnaud and M. Ashdown and J. Aumont and C. Baccigalupi and A. J. Banday and R. B. Barreiro and J. G. Bartlett and N. Bartolo and S. Basak and E. Battaner and K. Benabed and A. Benoît and A. Benoit-Lévy and J. -P. Bernard and M. Bersanelli and P. Bielewicz and J. J. Bock and A. Bonaldi and L. Bonavera and J. R. Bond and J. Borrill and F. R. Bouchet and F. Boulanger and M. Bucher and C. Burigana and R. C. Butler and E. Calabrese and J. -F. Cardoso and A. Catalano and A. Challinor and A. Chamballu and H. C. Chiang and P. R. Christensen and S. Church and D. L. Clements and S. Colombi and L. P. L. Colombo and C. Combet and F. Couchot and A. Coulais and B. P. Crill and A. Curto and F. Cuttaia and L. Danese and R. D. Davies and R. J. Davis and P. de Bernardis and A. de Rosa and G. de Zotti and J. Delabrouille and F. -X. Désert and J. M. Diego and H. Dole and S. Donzelli and O. Doré and M. Douspis and A. Ducout and J. Dunkley and X. Dupac and G. Efstathiou and F. Elsner and T. A. Enßlin and H. K. Eriksen and J. Fergusson and F. Finelli and O. Forni and M. Frailis and A. A. Fraisse and E. Franceschi and A. Frejsel and S. Galeotta and S. Galli and K. Ganga and M. Giard and Y. Giraud-Héraud and E. Gjerløw and J. González-Nuevo and K. M. Górski and S. Gratton and A. Gregorio and A. Gruppuso and J. E. Gudmundsson and F. K. Hansen and D. Hanson and D. L. Harrison and S. Henrot-Versillé and C. Hernández-Monteagudo and D. Herranz and S. R. Hildebrandt and E. Hivon and M. Hobson and W. A. Holmes and A. Hornstrup and W. Hovest and K. M. Huffenberger and G. Hurier and A. H. Jaffe and T. R. Jaffe and W. C. Jones and M. Juvela and E. Keihänen and R. Keskitalo and T. S. Kisner and R. Kneissl and J. Knoche and M. Kunz and H. Kurki-Suonio and G. Lagache and A. Lähteenmäki and J. -M. Lamarre and A. Lasenby and M. Lattanzi and C. R. Lawrence and R. Leonardi and J. Lesgourgues and F. Levrier and A. Lewis and M. Liguori and P. B. Lilje and M. Linden-Vørnle and M. López-Caniego and P. M. Lubin and J. F. Macías-Pérez and G. Maggio and D. Maino and N. Mandolesi and A. Mangilli and M. Maris and P. G. Martin and E. Martínez-González and S. Masi and S. Matarrese and P. McGehee and P. R. Meinhold and A. Melchiorri and L. Mendes and A. Mennella and M. Migliaccio and S. Mitra and M. -A. Miville-Deschênes and A. Moneti and L. Montier and G. Morgante and D. Mortlock and A. Moss and D. Munshi and J. A. Murphy and P. Naselsky and F. Nati and P. Natoli and C. B. Netterfield and H. U. Nørgaard-Nielsen and F. Noviello and D. Novikov and I. Novikov and C. A. Oxborrow and F. Paci and L. Pagano and F. Pajot and D. Paoletti and F. Pasian and G. Patanchon and O. Perdereau and L. Perotto and F. Perrotta and V. Pettorino and F. Piacentini and M. Piat and E. Pierpaoli and D. Pietrobon and S. Plaszczynski and E. Pointecouteau and G. Polenta and L. Popa and G. W. Pratt and G. Prézeau and S. Prunet and J. -L. Puget and J. P. Rachen and W. T. Reach and R. Rebolo and M. Reinecke and M. Remazeilles and C. Renault and A. Renzi and I. Ristorcelli and G. Rocha and C. Rosset and M. Rossetti and G. Roudier and M. Rowan-Robinson and J. A. Rubiño-Martín and B. Rusholme and M. Sandri and D. Santos and M. Savelainen and G. Savini and D. Scott and M. D. Seiffert and E. P. S. Shellard and L. D. Spencer and V. Stolyarov and R. Stompor and R. Sudiwala and R. Sunyaev and D. Sutton and A. -S. Suur-Uski and J. -F. Sygnet and J. A. Tauber and L. Terenzi and L. Toffolatti and M. Tomasi and M. Tristram and M. Tucci and J. Tuovinen and L. Valenziano and J. Valiviita and B. Van Tent and P. Vielva and F. Villa and L. A. Wade and B. D. Wandelt and I. K. Wehus and M. White and D. Yvon and A. Zacchei and A. Zonca},
journal= {arXiv preprint arXiv:1502.01591},
year = {2016}
}
Comments
30 pages, 2 wide-format tables. Minor changes and typo fix to match published version