Planck 2015 results. XIX. Constraints on primordial magnetic fields
Creators: name: Planck Collaboration
name: Ade, P. A. R.
name: Aghanim, N.
name: Arnaud, M.
name: Arroja, F.
name: Ashdown, M.
name: Aumont, J.
name: Baccigalupi, C.
name: Ballardini, M.
name: Banday, A. J.
name: Barreiro, R. B.
name: Bartolo, N.
name: Battaner, E.
name: Benabed, K.
name: Benoît, A.
name: Benoit-Lévy, A.
name: Bernard, J. -P.
name: Bersanelli, M.
name: Bielewicz, P.
name: Bock, J. J.
name: Bonaldi, A.
name: Bonavera, L.
name: Bond, J. R.
name: Borrill, J.
name: Bouchet, F. R.
name: Bucher, M.
name: Burigana, C.
name: Butler, R. C.
name: Calabrese, E.
name: Cardoso, J. -F.
name: Catalano, A.
name: Chamballu, A.
name: Chiang, H. C.
name: Chluba, J.
name: Christensen, P. R.
name: Church, S.
name: Clements, D. L.
name: Colombi, S.
name: Colombo, L. P. L.
name: Combet, C.
name: Couchot, F.
name: Coulais, A.
name: Crill, B. P.
name: Curto, A.
name: Cuttaia, F.
name: Danese, L.
name: Davies, R. D.
name: Davis, R. J.
name: de Bernardis, P.
name: de Rosa, A.
name: de Zotti, G.
name: Delabrouille, J.
name: Désert, F. -X.
name: Diego, J. M.
name: Dolag, K.
name: Dole, H.
name: Donzelli, S.
name: Doré, O.
name: Douspis, M.
name: Ducout, A.
name: Dupac, X.
name: Efstathiou, G.
name: Elsner, F.
name: Enßlin, T. A.
name: Eriksen, H. K.
name: Fergusson, J.
name: Finelli, F.
name: Florido, E.
name: Forni, O.
name: Frailis, M.
name: Fraisse, A. A.
name: Franceschi, E.
name: Frejsel, A.
name: Galeotta, S.
name: Galli, S.
name: Ganga, K.
name: Giard, M.
name: Giraud-Héraud, Y.
name: Gjerløw, E.
name: González-Nuevo, J.
name: Górski, K. M.
name: Gratton, S.
name: Gregorio, A.
name: Gruppuso, A.
name: Gudmundsson, J. E.
name: Hansen, F. K.
name: Hanson, D.
name: Harrison, D. L.
name: Helou, G.
name: Henrot-Versillé, S.
name: Hernández-Monteagudo, C.
name: Herranz, D.
name: Hildebrandt, S. R.
name: Hivon, E.
name: Hobson, M.
name: Holmes, W. A.
name: Hornstrup, A.
name: Hovest, W.
name: Huffenberger, K. M.
name: Hurier, G.
name: Jaffe, A. H.
name: Jaffe, T. R.
name: Jones, W. C.
name: Juvela, M.
name: Keihänen, E.
name: Keskitalo, R.
name: Kim, J.
name: Kisner, T. S.
name: Knoche, J.
name: Kunz, M.
name: Kurki-Suonio, H.
name: Lagache, G.
name: Lähteenmäki, A.
name: Lamarre, J. -M.
name: Lasenby, A.
name: Lattanzi, M.
name: Lawrence, C. R.
name: Leahy, J. P.
name: Leonardi, R.
name: Lesgourgues, J.
name: Levrier, F.
name: Liguori, M.
name: Lilje, P. B.
name: Linden-Vørnle, M.
name: López-Caniego, M.
name: Lubin, P. M.
name: Macías-Pérez, J. F.
name: Maggio, G.
name: Maino, D.
name: Mandolesi, N.
name: Mangilli, A.
name: Maris, M.
name: Martin, P. G.
name: Martínez-González, E.
name: Masi, S.
name: Matarrese, S.
name: McGehee, P.
name: Meinhold, P. R.
name: Melchiorri, A.
name: Mendes, L.
name: Mennella, A.
name: Migliaccio, M.
name: Mitra, S.
name: Miville-Deschênes, M. -A.
name: Molinari, D.
name: Moneti, A.
name: Montier, L.
name: Morgante, G.
name: Mortlock, D.
name: Moss, A.
name: Munshi, D.
name: Murphy, J. A.
name: Naselsky, P.
name: Nati, F.
name: Natoli, P.
name: Netterfield, C. B.
name: Nørgaard-Nielsen, H. U.
name: Noviello, F.
name: Novikov, D.
name: Novikov, I.
name: Oppermann, N.
name: Oxborrow, C. A.
name: Paci, F.
name: Pagano, L.
name: Pajot, F.
name: Paoletti, D.
name: Pasian, F.
name: Patanchon, G.
name: Perdereau, O.
name: Perotto, L.
name: Perrotta, F.
name: Pettorino, V.
name: Piacentini, F.
name: Piat, M.
name: Pierpaoli, E.
name: Pietrobon, D.
name: Plaszczynski, S.
name: Pointecouteau, E.
name: Polenta, G.
name: Popa, L.
name: Pratt, G. W.
name: Prézeau, G.
name: Prunet, S.
name: Puget, J. -L.
name: Rachen, J. P.
name: Rebolo, R.
name: Reinecke, M.
name: Remazeilles, M.
name: Renault, C.
name: Renzi, A.
name: Ristorcelli, I.
name: Rocha, G.
name: Rosset, C.
name: Rossetti, M.
name: Roudier, G.
name: Rubiño-Martín, J. A.
name: Ruiz-Granados, B.
name: Rusholme, B.
name: Sandri, M.
name: Santos, D.
name: Savelainen, M.
name: Savini, G.
name: Scott, D.
name: Seiffert, M. D.
name: Shellard, E. P. S.
name: Shiraishi, M.
name: Spencer, L. D.
name: Stolyarov, V.
name: Stompor, R.
name: Sudiwala, R.
name: Sunyaev, R.
name: Sutton, D.
name: Suur-Uski, A. -S.
name: Sygnet, J. -F.
name: Tauber, J. A.
name: Terenzi, L.
name: Toffolatti, L.
name: Tomasi, M.
name: Tristram, M.
name: Tucci, M.
name: Tuovinen, J.
name: Umana, G.
name: Valenziano, L.
name: Valiviita, J.
name: Van Tent, B.
name: Vielva, P.
name: Villa, F.
name: Wade, L. A.
name: Wandelt, B. D.
name: Wehus, I. K.
name: Yvon, D.
name: Zacchei, A.
name: Zonca, A.
Publisher: name: arXiv
Year: 2015
Subjects: subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences
subject: FOS: Physical sciences

description: We compute and investigate four types of imprint of a stochastic background of primordial magnetic fields (PMFs) on the cosmic microwave background (CMB) anisotropies: the impact of PMFs on the CMB spectra; the effect on CMB polarization induced by Faraday rotation; the impact of PMFs on the ionization history; magnetically-induced non-Gaussianities; and the magnetically-induced breaking of statistical isotropy. Overall, Planck data constrain the amplitude of PMFs to less than a few nanogauss. In particular, individual limits coming from the analysis of the CMB angular power spectra, using the Planck likelihood, are $B_{1\,\mathrm{Mpc}}&lt; 4.4$ nG (where $B_{1\,\mathrm{Mpc}}$ is the comoving field amplitude at a scale of 1 Mpc) at 95% confidence level, assuming zero helicity, and $B_{1\,\mathrm{Mpc}}&lt; 5.6$ nG for a maximally helical field.For nearly scale-invariant PMFs we obtain $B_{1\,\mathrm{Mpc}}&lt;2.0$ nG and $B_{1\,\mathrm{Mpc}}&lt;0.9$ nG if the impact of PMFs on the ionization history of the Universe is included. From the analysis of magnetically-induced non-Gaussianity we obtain three different values, corresponding to three applied methods, all below 5 nG. The constraint from the magnetically-induced passive-tensor bispectrum is $B_{1\,\mathrm{Mpc}}&lt; 2.8$ nG. A search for preferred directions in the magnetically-induced passive bispectrum yields $B_{1\,\mathrm{Mpc}}&lt; 4.5$ nG, whereas the the compensated-scalar bispectrum gives $B_{1\,\mathrm{Mpc}}&lt; 3$ nG. The analysis of the Faraday rotation of CMB polarization by PMFs uses the Planck power spectra in $EE$ and $BB$ at 70 GHz and gives $B_{1\,\mathrm{Mpc}}&lt; 1380$ nG. In our final analysis, we consider the harmonic-space correlations produced by Alfvén waves, finding no significant evidence for the presence of these waves. Together, these results comprise a comprehensive set of constraints on possible PMFs with Planck data.
description: 29 pages, 15 figures. Revised following referee report