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Article
Report number arXiv:1502.01594
Title Planck 2015 results. XIX. Constraints on primordial magnetic fields
Author(s)

Ade, P.A.R. (Cardiff U.) ; Aghanim, N. (Orsay, IAS) ; Arnaud, M. (AIM, Saclay) ; Arroja, F. (INFN, Padua ; Taiwan, Natl. Taiwan U.) ; Ashdown, M. (Cambridge U., KICC ; Cambridge U.) ; Aumont, J. (Orsay, IAS) ; Baccigalupi, C. (INFN, Trieste ; SISSA, Trieste) ; Ballardini, M. (IASF, Bologna ; INFN, Bologna ; U. Bologna, DIFA) ; Banday, A.J. (IRAP, Toulouse) ; Barreiro, R.B. (Cantabria U., Santander) ; Bartolo, N. (Padua U. ; INFN, Padua) ; Battaner, E. (Granada U., Theor. Phys. Astrophys.) ; Benabed, K. (Paris, Inst. Astrophys.) ; Benoît, A. (Neel Lab, Grenoble) ; Benoit-Lévy, A. (University Coll. London ; Paris, Inst. Astrophys.) ; Bernard, J.-P. (IRAP, Toulouse) ; Bersanelli, M. (Milan U. ; IASF, Milan) ; Bielewicz, P. (Warsaw, Copernicus Astron. Ctr. ; IRAP, Toulouse ; INFN, Trieste ; SISSA, Trieste) ; Bock, J.J. (Caltech, JPL ; Caltech) ; Bonaldi, A. (Jodrell Bank) ; Bonavera, L. (Cantabria U., Santander) ; Bond, J.R. (Canadian Inst. Theor. Astrophys.) ; Borrill, J. (LBL, Berkeley ; UC, Berkeley, Space Sci. Dept.) ; Bouchet, F.R. (Paris, Inst. Astrophys.) ; Bucher, M. (APC, Paris) ; Burigana, C. (IASF, Bologna ; Ferrara U. ; INFN, Bologna) ; Butler, R.C. (IASF, Bologna) ; Calabrese, E. (Oxford U.) ; Cardoso, J.-F. (APC, Paris ; Paris, Inst. Astrophys.) ; Catalano, A. (LPSC, Grenoble ; Paris Observ.) ; Chamballu, A. (AIM, Saclay ; IRFU, SPP, Saclay ; Orsay, IAS) ; Chiang, H.C. (Princeton U. ; KwaZulu Natal U.) ; Chluba, J. (Johns Hopkins U. ; Cambridge U., KICC) ; Christensen, P.R. (Bohr Inst.) ; Church, S. (Stanford U., Phys. Dept.) ; Clements, D.L. (Imperial Coll., London) ; Colombi, S. (Paris, Inst. Astrophys.) ; Colombo, L.P.L. (Southern California U. ; Caltech, JPL) ; Combet, C. (LPSC, Grenoble) ; Couchot, F. (Orsay, LAL) ; Coulais, A. (Paris Observ.) ; Crill, B.P. (Caltech, JPL ; Caltech) ; Curto, A. (Cantabria U., Santander ; Cambridge U. ; Cambridge U., KICC) ; Cuttaia, F. (IASF, Bologna) ; Danese, L. (INFN, Trieste ; SISSA, Trieste) ; Davies, R.D. (Jodrell Bank) ; Davis, R.J. (Jodrell Bank) ; de Bernardis, P. (Rome U.) ; de Rosa, A. (IASF, Bologna) ; de Zotti, G. (Padua Observ. ; INFN, Trieste ; SISSA, Trieste) ; Delabrouille, J. (APC, Paris) ; Désert, F.-X. (IPAG) ; Diego, J.M. (Cantabria U., Santander) ; Dolag, K. (Munich U. Observ. ; Garching, Max Planck Inst., MPE) ; Dole, H. (Orsay, IAS ; IUF, Paris) ; Donzelli, S. (IASF, Milan) ; Doré, O. (Caltech, JPL ; Caltech) ; Douspis, M. (Orsay, IAS) ; Ducout, A. (Paris, Inst. Astrophys. ; Imperial Coll., London) ; Dupac, X. (ESA, Madrid) ; Efstathiou, G. (Cambridge U., Inst. of Astron.) ; Elsner, F. (University Coll. London ; Paris, Inst. Astrophys.) ; Enßlin, T.A. (Garching, Max Planck Inst., MPE) ; Eriksen, H.K. (Inst. Theor. Astrophys., Oslo) ; Fergusson, J. (Cambridge U., DAMTP) ; Finelli, F. (IASF, Bologna ; INFN, Bologna) ; Florido, E. (Granada U., Theor. Phys. Astrophys.) ; Forni, O. (IRAP, Toulouse) ; Frailis, M. (Trieste Observ.) ; Fraisse, A.A. (Princeton U.) ; Franceschi, E. (IASF, Bologna) ; Frejsel, A. (Bohr Inst.) ; Galeotta, S. (Trieste Observ.) ; Galli, S. (Chicago U., KICP) ; Ganga, K. (APC, Paris) ; Giard, M. (IRAP, Toulouse) ; Giraud-Héraud, Y. (APC, Paris) ; Gjerløw, E. (Inst. Theor. Astrophys., Oslo) ; González-Nuevo, J. (Oviedo U. ; Cantabria U., Santander) ; Górski, K.M. (Caltech, JPL ; Warsaw U. Observ.) ; Gratton, S. (Cambridge U., KICC ; Cambridge U., Inst. of Astron.) ; Gregorio, A. (Trieste U. ; Trieste Observ. ; INFN, Trieste) ; Gruppuso, A. (IASF, Bologna) ; Gudmundsson, J.E. (Stockholm U., OKC ; Nordita ; Princeton U.) ; Hansen, F.K. (Inst. Theor. Astrophys., Oslo) ; Hanson, D. (McGill U. ; Caltech, JPL ; Canadian Inst. Theor. Astrophys.) ; Harrison, D.L. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Helou, G. (Caltech) ; Henrot-Versillé, S. (Orsay, LAL) ; Hernández-Monteagudo, C. (CEFCA, Teruel ; Garching, Max Planck Inst., MPE) ; Herranz, D. (Cantabria U., Santander) ; Hildebrandt, S.R. (Caltech, JPL ; Caltech) ; Hivon, E. (Paris, Inst. Astrophys.) ; Hobson, M. (Cambridge U.) ; Holmes, W.A. (Caltech, JPL) ; Hornstrup, A. (Denmark, Tech. U.) ; Hovest, W. (Garching, Max Planck Inst., MPE) ; Huffenberger, K.M. (Florida State U.) ; Hurier, G. (Orsay, IAS) ; Jaffe, A.H. (Imperial Coll., London) ; Jaffe, T.R. (IRAP, Toulouse) ; Jones, W.C. (Princeton U.) ; Juvela, M. (Helsinki Inst. of Phys. ; Helsinki U.) ; Keihänen, E. (Helsinki Inst. of Phys. ; Helsinki U.) ; Keskitalo, R. (LBL, Berkeley) ; Kim, J. (Garching, Max Planck Inst., MPE) ; Kisner, T.S. (LBL, Berkeley) ; Knoche, J. (Garching, Max Planck Inst., MPE) ; Kunz, M. (Geneva U., Dept. Theor. Phys. ; Orsay, IAS ; African Inst. Math. Sci., Cape Town) ; Kurki-Suonio, H. (Helsinki Inst. of Phys. ; Helsinki U.) ; Lagache, G. (Marseille, Lab. Astrophys. ; Orsay, IAS) ; Lähteenmäki, A. (Aalto U. ; Helsinki Inst. of Phys.) ; Lamarre, J.-M. (Paris Observ.) ; Lasenby, A. (Cambridge U. ; Cambridge U., KICC) ; Lattanzi, M. (Ferrara U.) ; Lawrence, C.R. (Caltech, JPL) ; Leahy, J.P. (Jodrell Bank) ; Leonardi, R. (Brasilia U.) ; Lesgourgues, J. (Aachen, Tech. Hochsch. ; CERN) ; Levrier, F. (Paris Observ.) ; Liguori, M. (Padua U. ; INFN, Padua) ; Lilje, P.B. (Inst. Theor. Astrophys., Oslo) ; Linden-Vørnle, M. (Denmark, Tech. U.) ; López-Caniego, M. (ESA, Madrid ; Cantabria U., Santander) ; Lubin, P.M. (UC, Santa Barbara) ; Macías-Pérez, J.F. (LPSC, Grenoble) ; Maggio, G. (Trieste Observ.) ; Maino, D. (Milan U. ; IASF, Milan) ; Mandolesi, N. (IASF, Bologna ; Ferrara U.) ; Mangilli, A. (Orsay, IAS ; Orsay, LAL) ; Maris, M. (Trieste Observ.) ; Martin, P.G. (Canadian Inst. Theor. Astrophys.) ; Martínez-González, E. (Cantabria U., Santander) ; Masi, S. (Rome U.) ; Matarrese, S. (Padua U. ; INFN, Padua ; GSSI, Aquila) ; McGehee, P. (Caltech, IPAC) ; Meinhold, P.R. (UC, Santa Barbara) ; Melchiorri, A. (Rome U. ; INFN, Rome) ; Mendes, L. (ESA, Madrid) ; Mennella, A. (Milan U. ; IASF, Milan) ; Migliaccio, M. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Mitra, S. (IUCAA, Pune ; Caltech, JPL) ; Miville-Deschênes, M.-A. (Orsay, IAS ; Canadian Inst. Theor. Astrophys.) ; Molinari, D. (Cantabria U., Santander ; IASF, Bologna) ; Moneti, A. (Paris, Inst. Astrophys.) ; Montier, L. (IRAP, Toulouse) ; Morgante, G. (IASF, Bologna) ; Mortlock, D. (Imperial Coll., London) ; Moss, A. (Nottingham U.) ; Munshi, D. (Cardiff U.) ; Murphy, J.A. (NUIM, Maynooth) ; Naselsky, P. (Bohr Inst.) ; Nati, F. (Princeton U.) ; Natoli, P. (Ferrara U. ; ASI, Rome ; IASF, Bologna) ; Netterfield, C.B. (Toronto U., Astron. Dept.) ; Nørgaard-Nielsen, H.U. (Denmark, Tech. U.) ; Noviello, F. (Jodrell Bank) ; Novikov, D. (Lebedev Inst.) ; Novikov, I. (Bohr Inst. ; Lebedev Inst.) ; Oppermann, N. (Canadian Inst. Theor. Astrophys.) ; Oxborrow, C.A. (Denmark, Tech. U.) ; Paci, F. (INFN, Trieste ; SISSA, Trieste) ; Pagano, L. (Rome U. ; INFN, Rome) ; Pajot, F. (Orsay, IAS) ; Paoletti, D. (IASF, Bologna ; INFN, Bologna) ; Pasian, F. (Trieste Observ.) ; Patanchon, G. (APC, Paris) ; Perdereau, O. (Orsay, LAL) ; Perotto, L. (LPSC, Grenoble) ; Perrotta, F. (INFN, Trieste ; SISSA, Trieste) ; Pettorino, V. (U. Heidelberg, ITP) ; Piacentini, F. (Rome U.) ; Piat, M. (APC, Paris) ; Pierpaoli, E. (Southern California U.) ; Pietrobon, D. (Caltech, JPL) ; Plaszczynski, S. (Orsay, LAL) ; Pointecouteau, E. (IRAP, Toulouse) ; Polenta, G. (ASI, Rome ; Rome Observ.) ; Popa, L. (Bucharest, Inst. Space Science) ; Pratt, G.W. (AIM, Saclay) ; Prézeau, G. (Caltech ; Caltech, JPL) ; Prunet, S. (Paris, Inst. Astrophys.) ; Puget, J.-L. (Orsay, IAS) ; Rachen, J.P. (Nijmegen U., IMAPP ; Garching, Max Planck Inst., MPE) ; Rebolo, R. (IAC, La Laguna ; CSIC, Madrid ; Laguna U., Tenerife) ; Reinecke, M. (Garching, Max Planck Inst., MPE) ; Remazeilles, M. (Jodrell Bank ; Orsay, IAS ; APC, Paris) ; Renault, C. (LPSC, Grenoble) ; Renzi, A. (Rome U., Tor Vergata ; INFN, Rome2) ; Ristorcelli, I. (IRAP, Toulouse) ; Rocha, G. (Caltech, JPL ; Caltech) ; Rosset, C. (APC, Paris) ; Rossetti, M. (Milan U. ; IASF, Milan) ; Roudier, G. (APC, Paris ; Paris Observ. ; Caltech, JPL) ; Rubiño-Martín, J.A. (IAC, La Laguna ; Laguna U., Tenerife) ; Ruiz-Granados, B. (Granada U., Theor. Phys. Astrophys.) ; Rusholme, B. (Caltech, IPAC) ; Sandri, M. (IASF, Bologna) ; Santos, D. (LPSC, Grenoble) ; Savelainen, M. (Helsinki Inst. of Phys. ; Helsinki U.) ; Savini, G. (University Coll. London) ; Scott, D. (British Columbia U.) ; Seiffert, M.D. (Caltech, JPL ; Caltech) ; Shellard, E.P.S. (Cambridge U., DAMTP) ; Shiraishi, M. (Padua U. ; INFN, Padua) ; Spencer, L.D. (Cardiff U.) ; Stolyarov, V. (Cambridge U. ; Stavropol, Astrophys. Observ. ; Kazan State U.) ; Stompor, R. (APC, Paris) ; Sudiwala, R. (Cardiff U.) ; Sunyaev, R. (Garching, Max Planck Inst., MPE ; Moscow, Space Res. Inst.) ; Sutton, D. (Cambridge U., Inst. of Astron. ; Cambridge U., KICC) ; Suur-Uski, A.-S. (Helsinki Inst. of Phys. ; Helsinki U.) ; Sygnet, J.-F. (Paris, Inst. Astrophys.) ; Tauber, J.A. (ESTEC, Noordwijk) ; Terenzi, L. (Florence U. ; IASF, Bologna) ; Toffolatti, L. (Oviedo U. ; Cantabria U., Santander ; IASF, Bologna) ; Tomasi, M. (Milan U. ; IASF, Milan) ; Tristram, M. (Orsay, LAL) ; Tucci, M. (Geneva U., Dept. Theor. Phys.) ; Tuovinen, J. (Trinity Coll., Dublin) ; Umana, G. (Catania Astrophys. Observ.) ; Valenziano, L. (IASF, Bologna) ; Valiviita, J. (Helsinki Inst. of Phys. ; Helsinki U.) ; Van Tent, B. (Orsay, LPT) ; Vielva, P. (Cantabria U., Santander) ; Villa, F. (IASF, Bologna) ; Wade, L.A. (Caltech, JPL) ; Wandelt, B.D. (Paris, Inst. Astrophys. ; Illinois U., Urbana) ; Wehus, I.K. (Caltech, JPL ; Inst. Theor. Astrophys., Oslo) ; Yvon, D. (IRFU, SPP, Saclay) ; Zacchei, A. (Trieste Observ.)

Publication 2016-09-20
Imprint 05 Feb 2015
Number of pages 27
Note Comments: 28 pages, 15 figures
29 pages, 15 figures. Revised following referee report
In: Astron. Astrophys. 594 (2016) A19
DOI 10.1051/0004-6361/201525821
Subject category Astrophysics and Astronomy
Abstract We predict 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; 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 $B_{1\,\mathrm{Mpc}}< 4.4$ 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 $B_{1\,\mathrm{Mpc}}< 5.6$ nG when we consider a maximally helical field. For nearly scale-invariant PMFs we obtain $B_{1\,\mathrm{Mpc}}<2.1$ nG and $B_{1\,\mathrm{Mpc}}<0.7$ nG if the impact of PMFs on the ionization history of the Universe is included in the analysis. 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 $B_{1\,\mathrm{Mpc}}< 2.8$ nG. A search for preferred directions in the magnetically-induced passive bispectrum yields $B_{1\,\mathrm{Mpc}}< 4.5$ nG, whereas the the compensated-scalar bispectrum gives $B_{1\,\mathrm{Mpc}}< 3$ 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 $B_{1\,\mathrm{Mpc}}< 1380$ nG. In our final analysis, we consider the harmonic-space correlations produced by Alfv\'en 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.
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