Planck 2015 results. XIX. Constraints on primordial magnetic fields

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 temperature and polarization spectra, which is related to their contribution to cosmological perturbat...

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Main Authors:	Ade, P.A.R., Aghanim, N., Arnaud, M., Arroja, F., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A.J., Barreiro, R.B., Bartolo, N., Battaner, E., Benabed, K., Benoît, A., Benoit-Lévy, A., Bernard, J.-P., Bersanelli, M., Bielewicz, P., Bock, J.J., Bonaldi, A., Bonavera, L., Bond, J.R., Borrill, J., Bouchet, F.R., Bucher, M., Burigana, C., Butler, R.C., Calabrese, E., Cardoso, J.-F., Catalano, A., Chamballu, A., Chiang, H.C., Chluba, J., Christensen, P.R., Church, S., Clements, D.L., Colombi, S., Colombo, L.P.L., Combet, C., Couchot, F., Coulais, A., Crill, B.P., Curto, A., Cuttaia, F., Danese, L., Davies, R.D., Davis, R.J., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Désert, F.-X., Diego, J.M., Dolag, K., Dole, H., Donzelli, S., Doré, O., Douspis, M., Ducout, A., Dupac, X., Efstathiou, G., Elsner, F., Enßlin, T.A., Eriksen, H.K., Fergusson, J., Finelli, F., Florido, E., Forni, O., Frailis, M., Fraisse, A.A., Franceschi, E., Frejsel, A., Galeotta, S., Galli, S., Ganga, K., Giard, M., Giraud-Héraud, Y., Gjerløw, E., González-Nuevo, J., Górski, K.M., Gratton, S., Gregorio, A., Gruppuso, A., Gudmundsson, J.E., Hansen, F.K., Hanson, D., Harrison, D.L., Helou, G., Henrot-Versillé, S., Hernández-Monteagudo, C., Herranz, D., Hildebrandt, S.R., Hivon, E., Hobson, M., Holmes, W.A., Hornstrup, A., Hovest, W., Huffenberger, K.M., Hurier, G., Jaffe, A.H., Jaffe, T.R., Jones, W.C., Juvela, M., Keihänen, E., Keskitalo, R., Kim, J., Kisner, T.S., Knoche, J., Kunz, M., Kurki-Suonio, H., Lagache, G., Lähteenmäki, A., Lamarre, J.-M., Lasenby, A., Lattanzi, M., Lawrence, C.R., Leahy, J. P., Leonardi, R., Lesgourgues, J., Levrier, F., Liguori, M., Lilje, P.B., Linden-Vørnle, M., López-Caniego, M., Lubin, P.M., Macías-Pérez, J.F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Maris, M., Martin, P.G., Martínez-González, E., Masi, S., Matarrese, S., McGehee, P., Meinhold, P.R., Melchiorri, A., Mendes, L., Mennella, A., Migliaccio, M., Mitra, S., Miville-Deschênes, M.-A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Mortlock, D., Moss, Adam, Munshi, D., Murphy, J.A., Naselsky, P., Nati, F., Natoli, P., Netterfield, C.B., Nørgaard-Nielsen, H.U., Noviello, F., Novikov, D., Novikov, I., Oppermann, N., Oxborrow, C.A., Paci, F., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Patanchon, G., Perdereau, O., Perotto, L., Perrotta, F., Pettorino, V., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Popa, L., Pratt, G.W., Prézeau, G., Prunet, S., Puget, J.-L., Rachen, J.P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Renzi, A., Ristorcelli, I., Rocha, G., Rosset, C., Rossetti, M., Roudier, G., Rubiño-Martín, J.A., Ruiz-Granados, B., Rusholme, B., Sandri, M., Santos, D., Savelainen, M., Savini, G., Scott, D., Seiffert, M.D., Shellard, E.P.S., Shiraishi, M., Spencer, L.D., Stolyarov, V., Stompor, R., Sudiwala, R., Sunyaev, R., Sutton, D., Suur-Uski, A.-S., Sygnet, J.-F., Tauber, J.A., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Tuovinen, J., Umana, G., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L.A., Wandelt, B.D., Wehus, I.K., Yvon, D., Zacchei, A., Zonca, A.
Format:	Article
Published:	EDP Sciences 2016
Subjects:	magnetic fields; cosmic background radiation; early Universe
Online Access:	https://eprints.nottingham.ac.uk/42443/

_version_	1848796488300232704
author	Ade, P.A.R. Aghanim, N. Arnaud, M. Arroja, F. Ashdown, M. Aumont, J. Baccigalupi, C. Ballardini, M. Banday, A.J. Barreiro, R.B. Bartolo, N. Battaner, E. Benabed, K. Benoît, A. Benoit-Lévy, A. Bernard, J.-P. Bersanelli, M. Bielewicz, P. Bock, J.J. Bonaldi, A. Bonavera, L. Bond, J.R. Borrill, J. Bouchet, F.R. Bucher, M. Burigana, C. Butler, R.C. Calabrese, E. Cardoso, J.-F. Catalano, A. Chamballu, A. Chiang, H.C. Chluba, J. Christensen, P.R. Church, S. Clements, D.L. Colombi, S. Colombo, L.P.L. Combet, C. Couchot, F. Coulais, A. Crill, B.P. Curto, A. Cuttaia, F. Danese, L. Davies, R.D. Davis, R.J. de Bernardis, P. de Rosa, A. de Zotti, G. Delabrouille, J. Désert, F.-X. Diego, J.M. Dolag, K. Dole, H. Donzelli, S. Doré, O. Douspis, M. Ducout, A. Dupac, X. Efstathiou, G. Elsner, F. Enßlin, T.A. Eriksen, H.K. Fergusson, J. Finelli, F. Florido, E. Forni, O. Frailis, M. Fraisse, A.A. Franceschi, E. Frejsel, A. Galeotta, S. Galli, S. Ganga, K. Giard, M. Giraud-Héraud, Y. Gjerløw, E. González-Nuevo, J. Górski, K.M. Gratton, S. Gregorio, A. Gruppuso, A. Gudmundsson, J.E. Hansen, F.K. Hanson, D. Harrison, D.L. Helou, G. Henrot-Versillé, S. Hernández-Monteagudo, C. Herranz, D. Hildebrandt, S.R. Hivon, E. Hobson, M. Holmes, W.A. Hornstrup, A. Hovest, W. Huffenberger, K.M. Hurier, G. Jaffe, A.H. Jaffe, T.R. Jones, W.C. Juvela, M. Keihänen, E. Keskitalo, R. Kim, J. Kisner, T.S. Knoche, J. Kunz, M. Kurki-Suonio, H. Lagache, G. Lähteenmäki, A. Lamarre, J.-M. Lasenby, A. Lattanzi, M. Lawrence, C.R. Leahy, J. P. Leonardi, R. Lesgourgues, J. Levrier, F. Liguori, M. Lilje, P.B. Linden-Vørnle, M. López-Caniego, M. Lubin, P.M. Macías-Pérez, J.F. Maggio, G. Maino, D. Mandolesi, N. Mangilli, A. Maris, M. Martin, P.G. Martínez-González, E. Masi, S. Matarrese, S. McGehee, P. Meinhold, P.R. Melchiorri, A. Mendes, L. Mennella, A. Migliaccio, M. Mitra, S. Miville-Deschênes, M.-A. Molinari, D. Moneti, A. Montier, L. Morgante, G. Mortlock, D. Moss, Adam Munshi, D. Murphy, J.A. Naselsky, P. Nati, F. Natoli, P. Netterfield, C.B. Nørgaard-Nielsen, H.U. Noviello, F. Novikov, D. Novikov, I. Oppermann, N. Oxborrow, C.A. Paci, F. Pagano, L. Pajot, F. Paoletti, D. Pasian, F. Patanchon, G. Perdereau, O. Perotto, L. Perrotta, F. Pettorino, V. Piacentini, F. Piat, M. Pierpaoli, E. Pietrobon, D. Plaszczynski, S. Pointecouteau, E. Polenta, G. Popa, L. Pratt, G.W. Prézeau, G. Prunet, S. Puget, J.-L. Rachen, J.P. Rebolo, R. Reinecke, M. Remazeilles, M. Renault, C. Renzi, A. Ristorcelli, I. Rocha, G. Rosset, C. Rossetti, M. Roudier, G. Rubiño-Martín, J.A. Ruiz-Granados, B. Rusholme, B. Sandri, M. Santos, D. Savelainen, M. Savini, G. Scott, D. Seiffert, M.D. Shellard, E.P.S. Shiraishi, M. Spencer, L.D. Stolyarov, V. Stompor, R. Sudiwala, R. Sunyaev, R. Sutton, D. Suur-Uski, A.-S. Sygnet, J.-F. Tauber, J.A. Terenzi, L. Toffolatti, L. Tomasi, M. Tristram, M. Tucci, M. Tuovinen, J. Umana, G. Valenziano, L. Valiviita, J. Van Tent, B. Vielva, P. Villa, F. Wade, L.A. Wandelt, B.D. Wehus, I.K. Yvon, D. Zacchei, A. Zonca, A.
author_facet	Ade, P.A.R. Aghanim, N. Arnaud, M. Arroja, F. Ashdown, M. Aumont, J. Baccigalupi, C. Ballardini, M. Banday, A.J. Barreiro, R.B. Bartolo, N. Battaner, E. Benabed, K. Benoît, A. Benoit-Lévy, A. Bernard, J.-P. Bersanelli, M. Bielewicz, P. Bock, J.J. Bonaldi, A. Bonavera, L. Bond, J.R. Borrill, J. Bouchet, F.R. Bucher, M. Burigana, C. Butler, R.C. Calabrese, E. Cardoso, J.-F. Catalano, A. Chamballu, A. Chiang, H.C. Chluba, J. Christensen, P.R. Church, S. Clements, D.L. Colombi, S. Colombo, L.P.L. Combet, C. Couchot, F. Coulais, A. Crill, B.P. Curto, A. Cuttaia, F. Danese, L. Davies, R.D. Davis, R.J. de Bernardis, P. de Rosa, A. de Zotti, G. Delabrouille, J. Désert, F.-X. Diego, J.M. Dolag, K. Dole, H. Donzelli, S. Doré, O. Douspis, M. Ducout, A. Dupac, X. Efstathiou, G. Elsner, F. Enßlin, T.A. Eriksen, H.K. Fergusson, J. Finelli, F. Florido, E. Forni, O. Frailis, M. Fraisse, A.A. Franceschi, E. Frejsel, A. Galeotta, S. Galli, S. Ganga, K. Giard, M. Giraud-Héraud, Y. Gjerløw, E. González-Nuevo, J. Górski, K.M. Gratton, S. Gregorio, A. Gruppuso, A. Gudmundsson, J.E. Hansen, F.K. Hanson, D. Harrison, D.L. Helou, G. Henrot-Versillé, S. Hernández-Monteagudo, C. Herranz, D. Hildebrandt, S.R. Hivon, E. Hobson, M. Holmes, W.A. Hornstrup, A. Hovest, W. Huffenberger, K.M. Hurier, G. Jaffe, A.H. Jaffe, T.R. Jones, W.C. Juvela, M. Keihänen, E. Keskitalo, R. Kim, J. Kisner, T.S. Knoche, J. Kunz, M. Kurki-Suonio, H. Lagache, G. Lähteenmäki, A. Lamarre, J.-M. Lasenby, A. Lattanzi, M. Lawrence, C.R. Leahy, J. P. Leonardi, R. Lesgourgues, J. Levrier, F. Liguori, M. Lilje, P.B. Linden-Vørnle, M. López-Caniego, M. Lubin, P.M. Macías-Pérez, J.F. Maggio, G. Maino, D. Mandolesi, N. Mangilli, A. Maris, M. Martin, P.G. Martínez-González, E. Masi, S. Matarrese, S. McGehee, P. Meinhold, P.R. Melchiorri, A. Mendes, L. Mennella, A. Migliaccio, M. Mitra, S. Miville-Deschênes, M.-A. Molinari, D. Moneti, A. Montier, L. Morgante, G. Mortlock, D. Moss, Adam Munshi, D. Murphy, J.A. Naselsky, P. Nati, F. Natoli, P. Netterfield, C.B. Nørgaard-Nielsen, H.U. Noviello, F. Novikov, D. Novikov, I. Oppermann, N. Oxborrow, C.A. Paci, F. Pagano, L. Pajot, F. Paoletti, D. Pasian, F. Patanchon, G. Perdereau, O. Perotto, L. Perrotta, F. Pettorino, V. Piacentini, F. Piat, M. Pierpaoli, E. Pietrobon, D. Plaszczynski, S. Pointecouteau, E. Polenta, G. Popa, L. Pratt, G.W. Prézeau, G. Prunet, S. Puget, J.-L. Rachen, J.P. Rebolo, R. Reinecke, M. Remazeilles, M. Renault, C. Renzi, A. Ristorcelli, I. Rocha, G. Rosset, C. Rossetti, M. Roudier, G. Rubiño-Martín, J.A. Ruiz-Granados, B. Rusholme, B. Sandri, M. Santos, D. Savelainen, M. Savini, G. Scott, D. Seiffert, M.D. Shellard, E.P.S. Shiraishi, M. Spencer, L.D. Stolyarov, V. Stompor, R. Sudiwala, R. Sunyaev, R. Sutton, D. Suur-Uski, A.-S. Sygnet, J.-F. Tauber, J.A. Terenzi, L. Toffolatti, L. Tomasi, M. Tristram, M. Tucci, M. Tuovinen, J. Umana, G. Valenziano, L. Valiviita, J. Van Tent, B. Vielva, P. Villa, F. Wade, L.A. Wandelt, B.D. Wehus, I.K. Yvon, D. Zacchei, A. Zonca, A.
author_sort	Ade, P.A.R.
building	Nottingham Research Data Repository
collection	Online Access
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 temperature and polarization spectra, which is related to their contribution to cosmological perturbations; the effect on CMB polarization induced by Faraday rotation; the impact of PMFs on the ionization history; magnetically-induced non-Gaussianities and related non-zero bispectra; and the magnetically-induced breaking of statistical isotropy. We present constraints on the amplitude of PMFs that are derived from different Planck data products, depending on the specific effect that is being analysed. Overall, Planck data constrain the amplitude of PMFs to less than a few nanoGauss, with different bounds that depend on the considered model. In particular, individual limits coming from the analysis of the CMB angular power spectra, using the Planck likelihood, are B1 Mpc < 4.4 nG (where B1 Mpc is the comoving field amplitude at a scale of 1 Mpc) at 95% confidence level, assuming zero helicity. By considering the Planck likelihood, based only on parity-even angular power spectra, we obtain B1 Mpc < 5.6 nG for a maximally helical field. For nearly scale-invariant PMFs we obtain B1 Mpc < 2.0 nG and B1 Mpc < 0.9 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 B1 Mpc < 2.8 nG. A search for preferred directions in the magnetically-induced passive bispectrum yields B1 Mpc < 4.5 nG, whereas the compensated-scalar bispectrum gives B1 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 B1 Mpc < 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.
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institution	University of Nottingham Malaysia Campus
institution_category	Local University
last_indexed	2025-11-14T19:48:47Z
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publisher	EDP Sciences
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spelling	nottingham-424432020-05-04T18:10:44Z https://eprints.nottingham.ac.uk/42443/ Planck 2015 results. XIX. Constraints on primordial magnetic fields Ade, P.A.R. Aghanim, N. Arnaud, M. Arroja, F. Ashdown, M. Aumont, J. Baccigalupi, C. Ballardini, M. Banday, A.J. Barreiro, R.B. Bartolo, N. Battaner, E. Benabed, K. Benoît, A. Benoit-Lévy, A. Bernard, J.-P. Bersanelli, M. Bielewicz, P. Bock, J.J. Bonaldi, A. Bonavera, L. Bond, J.R. Borrill, J. Bouchet, F.R. Bucher, M. Burigana, C. Butler, R.C. Calabrese, E. Cardoso, J.-F. Catalano, A. Chamballu, A. Chiang, H.C. Chluba, J. Christensen, P.R. Church, S. Clements, D.L. Colombi, S. Colombo, L.P.L. Combet, C. Couchot, F. Coulais, A. Crill, B.P. Curto, A. Cuttaia, F. Danese, L. Davies, R.D. Davis, R.J. de Bernardis, P. de Rosa, A. de Zotti, G. Delabrouille, J. Désert, F.-X. Diego, J.M. Dolag, K. Dole, H. Donzelli, S. Doré, O. Douspis, M. Ducout, A. Dupac, X. Efstathiou, G. Elsner, F. Enßlin, T.A. Eriksen, H.K. Fergusson, J. Finelli, F. Florido, E. Forni, O. Frailis, M. Fraisse, A.A. Franceschi, E. Frejsel, A. Galeotta, S. Galli, S. Ganga, K. Giard, M. Giraud-Héraud, Y. Gjerløw, E. González-Nuevo, J. Górski, K.M. Gratton, S. Gregorio, A. Gruppuso, A. Gudmundsson, J.E. Hansen, F.K. Hanson, D. Harrison, D.L. Helou, G. Henrot-Versillé, S. Hernández-Monteagudo, C. Herranz, D. Hildebrandt, S.R. Hivon, E. Hobson, M. Holmes, W.A. Hornstrup, A. Hovest, W. Huffenberger, K.M. Hurier, G. Jaffe, A.H. Jaffe, T.R. Jones, W.C. Juvela, M. Keihänen, E. Keskitalo, R. Kim, J. Kisner, T.S. Knoche, J. Kunz, M. Kurki-Suonio, H. Lagache, G. Lähteenmäki, A. Lamarre, J.-M. Lasenby, A. Lattanzi, M. Lawrence, C.R. Leahy, J. P. Leonardi, R. Lesgourgues, J. Levrier, F. Liguori, M. Lilje, P.B. Linden-Vørnle, M. López-Caniego, M. Lubin, P.M. Macías-Pérez, J.F. Maggio, G. Maino, D. Mandolesi, N. Mangilli, A. Maris, M. Martin, P.G. Martínez-González, E. Masi, S. Matarrese, S. McGehee, P. Meinhold, P.R. Melchiorri, A. Mendes, L. Mennella, A. Migliaccio, M. Mitra, S. Miville-Deschênes, M.-A. Molinari, D. Moneti, A. Montier, L. Morgante, G. Mortlock, D. Moss, Adam Munshi, D. Murphy, J.A. Naselsky, P. Nati, F. Natoli, P. Netterfield, C.B. Nørgaard-Nielsen, H.U. Noviello, F. Novikov, D. Novikov, I. Oppermann, N. Oxborrow, C.A. Paci, F. Pagano, L. Pajot, F. Paoletti, D. Pasian, F. Patanchon, G. Perdereau, O. Perotto, L. Perrotta, F. Pettorino, V. Piacentini, F. Piat, M. Pierpaoli, E. Pietrobon, D. Plaszczynski, S. Pointecouteau, E. Polenta, G. Popa, L. Pratt, G.W. Prézeau, G. Prunet, S. Puget, J.-L. Rachen, J.P. Rebolo, R. Reinecke, M. Remazeilles, M. Renault, C. Renzi, A. Ristorcelli, I. Rocha, G. Rosset, C. Rossetti, M. Roudier, G. Rubiño-Martín, J.A. Ruiz-Granados, B. Rusholme, B. Sandri, M. Santos, D. Savelainen, M. Savini, G. Scott, D. Seiffert, M.D. Shellard, E.P.S. Shiraishi, M. Spencer, L.D. Stolyarov, V. Stompor, R. Sudiwala, R. Sunyaev, R. Sutton, D. Suur-Uski, A.-S. Sygnet, J.-F. Tauber, J.A. Terenzi, L. Toffolatti, L. Tomasi, M. Tristram, M. Tucci, M. Tuovinen, J. Umana, G. Valenziano, L. Valiviita, J. Van Tent, B. Vielva, P. Villa, F. Wade, L.A. Wandelt, B.D. Wehus, I.K. Yvon, D. Zacchei, A. Zonca, A. 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 temperature and polarization spectra, which is related to their contribution to cosmological perturbations; the effect on CMB polarization induced by Faraday rotation; the impact of PMFs on the ionization history; magnetically-induced non-Gaussianities and related non-zero bispectra; and the magnetically-induced breaking of statistical isotropy. We present constraints on the amplitude of PMFs that are derived from different Planck data products, depending on the specific effect that is being analysed. Overall, Planck data constrain the amplitude of PMFs to less than a few nanoGauss, with different bounds that depend on the considered model. In particular, individual limits coming from the analysis of the CMB angular power spectra, using the Planck likelihood, are B1 Mpc < 4.4 nG (where B1 Mpc is the comoving field amplitude at a scale of 1 Mpc) at 95% confidence level, assuming zero helicity. By considering the Planck likelihood, based only on parity-even angular power spectra, we obtain B1 Mpc < 5.6 nG for a maximally helical field. For nearly scale-invariant PMFs we obtain B1 Mpc < 2.0 nG and B1 Mpc < 0.9 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 B1 Mpc < 2.8 nG. A search for preferred directions in the magnetically-induced passive bispectrum yields B1 Mpc < 4.5 nG, whereas the compensated-scalar bispectrum gives B1 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 B1 Mpc < 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. EDP Sciences 2016-09-20 Article PeerReviewed Ade, P.A.R., Aghanim, N., Arnaud, M., Arroja, F., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A.J., Barreiro, R.B., Bartolo, N., Battaner, E., Benabed, K., Benoît, A., Benoit-Lévy, A., Bernard, J.-P., Bersanelli, M., Bielewicz, P., Bock, J.J., Bonaldi, A., Bonavera, L., Bond, J.R., Borrill, J., Bouchet, F.R., Bucher, M., Burigana, C., Butler, R.C., Calabrese, E., Cardoso, J.-F., Catalano, A., Chamballu, A., Chiang, H.C., Chluba, J., Christensen, P.R., Church, S., Clements, D.L., Colombi, S., Colombo, L.P.L., Combet, C., Couchot, F., Coulais, A., Crill, B.P., Curto, A., Cuttaia, F., Danese, L., Davies, R.D., Davis, R.J., de Bernardis, P., de Rosa, A., de Zotti, G., Delabrouille, J., Désert, F.-X., Diego, J.M., Dolag, K., Dole, H., Donzelli, S., Doré, O., Douspis, M., Ducout, A., Dupac, X., Efstathiou, G., Elsner, F., Enßlin, T.A., Eriksen, H.K., Fergusson, J., Finelli, F., Florido, E., Forni, O., Frailis, M., Fraisse, A.A., Franceschi, E., Frejsel, A., Galeotta, S., Galli, S., Ganga, K., Giard, M., Giraud-Héraud, Y., Gjerløw, E., González-Nuevo, J., Górski, K.M., Gratton, S., Gregorio, A., Gruppuso, A., Gudmundsson, J.E., Hansen, F.K., Hanson, D., Harrison, D.L., Helou, G., Henrot-Versillé, S., Hernández-Monteagudo, C., Herranz, D., Hildebrandt, S.R., Hivon, E., Hobson, M., Holmes, W.A., Hornstrup, A., Hovest, W., Huffenberger, K.M., Hurier, G., Jaffe, A.H., Jaffe, T.R., Jones, W.C., Juvela, M., Keihänen, E., Keskitalo, R., Kim, J., Kisner, T.S., Knoche, J., Kunz, M., Kurki-Suonio, H., Lagache, G., Lähteenmäki, A., Lamarre, J.-M., Lasenby, A., Lattanzi, M., Lawrence, C.R., Leahy, J. P., Leonardi, R., Lesgourgues, J., Levrier, F., Liguori, M., Lilje, P.B., Linden-Vørnle, M., López-Caniego, M., Lubin, P.M., Macías-Pérez, J.F., Maggio, G., Maino, D., Mandolesi, N., Mangilli, A., Maris, M., Martin, P.G., Martínez-González, E., Masi, S., Matarrese, S., McGehee, P., Meinhold, P.R., Melchiorri, A., Mendes, L., Mennella, A., Migliaccio, M., Mitra, S., Miville-Deschênes, M.-A., Molinari, D., Moneti, A., Montier, L., Morgante, G., Mortlock, D., Moss, Adam, Munshi, D., Murphy, J.A., Naselsky, P., Nati, F., Natoli, P., Netterfield, C.B., Nørgaard-Nielsen, H.U., Noviello, F., Novikov, D., Novikov, I., Oppermann, N., Oxborrow, C.A., Paci, F., Pagano, L., Pajot, F., Paoletti, D., Pasian, F., Patanchon, G., Perdereau, O., Perotto, L., Perrotta, F., Pettorino, V., Piacentini, F., Piat, M., Pierpaoli, E., Pietrobon, D., Plaszczynski, S., Pointecouteau, E., Polenta, G., Popa, L., Pratt, G.W., Prézeau, G., Prunet, S., Puget, J.-L., Rachen, J.P., Rebolo, R., Reinecke, M., Remazeilles, M., Renault, C., Renzi, A., Ristorcelli, I., Rocha, G., Rosset, C., Rossetti, M., Roudier, G., Rubiño-Martín, J.A., Ruiz-Granados, B., Rusholme, B., Sandri, M., Santos, D., Savelainen, M., Savini, G., Scott, D., Seiffert, M.D., Shellard, E.P.S., Shiraishi, M., Spencer, L.D., Stolyarov, V., Stompor, R., Sudiwala, R., Sunyaev, R., Sutton, D., Suur-Uski, A.-S., Sygnet, J.-F., Tauber, J.A., Terenzi, L., Toffolatti, L., Tomasi, M., Tristram, M., Tucci, M., Tuovinen, J., Umana, G., Valenziano, L., Valiviita, J., Van Tent, B., Vielva, P., Villa, F., Wade, L.A., Wandelt, B.D., Wehus, I.K., Yvon, D., Zacchei, A. and Zonca, A. (2016) Planck 2015 results. XIX. Constraints on primordial magnetic fields. Astronomy & Astrophysics, 594 . A19/1-A19/27. ISSN 1432-0746 magnetic fields; cosmic background radiation; early Universe http://www.aanda.org/articles/aa/abs/2016/10/aa25821-15/aa25821-15.html doi:10.1051/0004-6361/201525821 doi:10.1051/0004-6361/201525821
spellingShingle	magnetic fields; cosmic background radiation; early Universe Ade, P.A.R. Aghanim, N. Arnaud, M. Arroja, F. Ashdown, M. Aumont, J. Baccigalupi, C. Ballardini, M. Banday, A.J. Barreiro, R.B. Bartolo, N. Battaner, E. Benabed, K. Benoît, A. Benoit-Lévy, A. Bernard, J.-P. Bersanelli, M. Bielewicz, P. Bock, J.J. Bonaldi, A. Bonavera, L. Bond, J.R. Borrill, J. Bouchet, F.R. Bucher, M. Burigana, C. Butler, R.C. Calabrese, E. Cardoso, J.-F. Catalano, A. Chamballu, A. Chiang, H.C. Chluba, J. Christensen, P.R. Church, S. Clements, D.L. Colombi, S. Colombo, L.P.L. Combet, C. Couchot, F. Coulais, A. Crill, B.P. Curto, A. Cuttaia, F. Danese, L. Davies, R.D. Davis, R.J. de Bernardis, P. de Rosa, A. de Zotti, G. Delabrouille, J. Désert, F.-X. Diego, J.M. Dolag, K. Dole, H. Donzelli, S. Doré, O. Douspis, M. Ducout, A. Dupac, X. Efstathiou, G. Elsner, F. Enßlin, T.A. Eriksen, H.K. Fergusson, J. Finelli, F. Florido, E. Forni, O. Frailis, M. Fraisse, A.A. Franceschi, E. Frejsel, A. Galeotta, S. Galli, S. Ganga, K. Giard, M. Giraud-Héraud, Y. Gjerløw, E. González-Nuevo, J. Górski, K.M. Gratton, S. Gregorio, A. Gruppuso, A. Gudmundsson, J.E. Hansen, F.K. Hanson, D. Harrison, D.L. Helou, G. Henrot-Versillé, S. Hernández-Monteagudo, C. Herranz, D. Hildebrandt, S.R. Hivon, E. Hobson, M. Holmes, W.A. Hornstrup, A. Hovest, W. Huffenberger, K.M. Hurier, G. Jaffe, A.H. Jaffe, T.R. Jones, W.C. Juvela, M. Keihänen, E. Keskitalo, R. Kim, J. Kisner, T.S. Knoche, J. Kunz, M. Kurki-Suonio, H. Lagache, G. Lähteenmäki, A. Lamarre, J.-M. Lasenby, A. Lattanzi, M. Lawrence, C.R. Leahy, J. P. Leonardi, R. Lesgourgues, J. Levrier, F. Liguori, M. Lilje, P.B. Linden-Vørnle, M. López-Caniego, M. Lubin, P.M. Macías-Pérez, J.F. Maggio, G. Maino, D. Mandolesi, N. Mangilli, A. Maris, M. Martin, P.G. Martínez-González, E. Masi, S. Matarrese, S. McGehee, P. Meinhold, P.R. Melchiorri, A. Mendes, L. Mennella, A. Migliaccio, M. Mitra, S. Miville-Deschênes, M.-A. Molinari, D. Moneti, A. Montier, L. Morgante, G. Mortlock, D. Moss, Adam Munshi, D. Murphy, J.A. Naselsky, P. Nati, F. Natoli, P. Netterfield, C.B. Nørgaard-Nielsen, H.U. Noviello, F. Novikov, D. Novikov, I. Oppermann, N. Oxborrow, C.A. Paci, F. Pagano, L. Pajot, F. Paoletti, D. Pasian, F. Patanchon, G. Perdereau, O. Perotto, L. Perrotta, F. Pettorino, V. Piacentini, F. Piat, M. Pierpaoli, E. Pietrobon, D. Plaszczynski, S. Pointecouteau, E. Polenta, G. Popa, L. Pratt, G.W. Prézeau, G. Prunet, S. Puget, J.-L. Rachen, J.P. Rebolo, R. Reinecke, M. Remazeilles, M. Renault, C. Renzi, A. Ristorcelli, I. Rocha, G. Rosset, C. Rossetti, M. Roudier, G. Rubiño-Martín, J.A. Ruiz-Granados, B. Rusholme, B. Sandri, M. Santos, D. Savelainen, M. Savini, G. Scott, D. Seiffert, M.D. Shellard, E.P.S. Shiraishi, M. Spencer, L.D. Stolyarov, V. Stompor, R. Sudiwala, R. Sunyaev, R. Sutton, D. Suur-Uski, A.-S. Sygnet, J.-F. Tauber, J.A. Terenzi, L. Toffolatti, L. Tomasi, M. Tristram, M. Tucci, M. Tuovinen, J. Umana, G. Valenziano, L. Valiviita, J. Van Tent, B. Vielva, P. Villa, F. Wade, L.A. Wandelt, B.D. Wehus, I.K. Yvon, D. Zacchei, A. Zonca, A. Planck 2015 results. XIX. Constraints on primordial magnetic fields
title	Planck 2015 results. XIX. Constraints on primordial magnetic fields
title_full	Planck 2015 results. XIX. Constraints on primordial magnetic fields
title_fullStr	Planck 2015 results. XIX. Constraints on primordial magnetic fields
title_full_unstemmed	Planck 2015 results. XIX. Constraints on primordial magnetic fields
title_short	Planck 2015 results. XIX. Constraints on primordial magnetic fields
title_sort	planck 2015 results. xix. constraints on primordial magnetic fields
topic	magnetic fields; cosmic background radiation; early Universe
url	https://eprints.nottingham.ac.uk/42443/ https://eprints.nottingham.ac.uk/42443/ https://eprints.nottingham.ac.uk/42443/

Planck 2015 results. XIX. Constraints on primordial magnetic fields

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