Current and Future Constraints on Primordial Magnetic Fields

Sutton, Dylan R.; Feng, Chang; Reichardt, Christian L.

doi:10.3847/1538-4357/aa85e2

Title: Current and Future Constraints on Primordial Magnetic Fields

Journal Article · 09 September 2017 · The Astrophysical Journal (Online)

DOI: https://doi.org/10.3847/1538-4357/aa85e2 · OSTI ID:1524230

Sutton, Dylan R. ^[1]; Feng, Chang ^[2];

^[1]

Univ. of Melbourne, Parkville, VIC (Australia). School of Physics
Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy

Here, we present new limits on the amplitude of potential primordial magnetic fields (PMFs) using temperature and polarization measurements of the cosmic microwave background (CMB) from Planck, the BICEP2/Keck Array, Polarbear, and SPTpol. We reduce twofold the 95% confidence upper limit on the CMB anisotropy power due to a nearly scale-invariant PMF, with an allowed B-mode power at ℓ = 1500 of $${D}_{{\ell }=1500}^{\mathrm{BB}}\lt 0.071\,\mu {K}^{2}$$ for Planck versus $${D}_{{\ell }=1500}^{\mathrm{BB}}\lt 0.034\,\mu {K}^{2}$$ for the combined data set. We also forecast the expected limits from soon-to-deploy CMB experiments (like SPT-3G, Adv. ACTpol, or the Simons Array) and the proposed CMB-S4 experiment. Future CMB experiments should dramatically reduce the current uncertainties by one order of magnitude for the near-term experiments and two orders of magnitude for the CMB-S4 experiment. The constraints from CMB-S4 have the potential to rule out much of the parameter space for PMFs.

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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1524230

Alternate ID(s):: OSTI ID: 22875807

Journal Information:: The Astrophysical Journal (Online), Journal Name: The Astrophysical Journal (Online) Journal Issue: 2 Vol. 846; ISSN 1538-4357

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

References (74)

CMB anisotropies from primordial inhomogeneous magnetic fields Lewis, Antony Physical Review D, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevD.70.043011	journal	August 2004
On the nature of the magnetic fields generated during the electroweak phase transition Grasso, Dario; Riotto, Antonio Physics Letters B, Vol. 418, Issue 3-4 https://doi.org/10.1016/S0370-2693(97)01224-0	journal	February 1998
THE COSMOLOGICAL IMPACT OF LUMINOUS TeV BLAZARS. I. IMPLICATIONS OF PLASMA INSTABILITIES FOR THE INTERGALACTIC MAGNETIC FIELD AND EXTRAGALACTIC GAMMA-RAY BACKGROUND Broderick, Avery E.; Chang, Philip; Pfrommer, Christoph The Astrophysical Journal, Vol. 752, Issue 1 https://doi.org/10.1088/0004-637X/752/1/22	journal	May 2012
Primordial Magnetic Fields and Causality Durrer, Ruth; Caprini, Chiara arXiv https://doi.org/10.48550/arxiv.astro-ph/0305059	text	January 2003
Inflation-produced, large-scale magnetic fields Turner, Michael S.; Widrow, Lawrence M. Physical Review D, Vol. 37, Issue 10 https://doi.org/10.1103/PhysRevD.37.2743	journal	May 1988
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background Larsen, Patricia; Challinor, Anthony; Sherwin, Blake D. Physical Review Letters, Vol. 117, Issue 15 https://doi.org/10.1103/PhysRevLett.117.151102	journal	October 2016
TIME DELAY OF CASCADE RADIATION FOR TeV BLAZARS AND THE MEASUREMENT OF THE INTERGALACTIC MAGNETIC FIELD Dermer, Charles D.; Cavadini, Massimo; Razzaque, Soebur The Astrophysical Journal, Vol. 733, Issue 2 https://doi.org/10.1088/2041-8205/733/2/L21	journal	May 2011
Detection of B -Mode Polarization at Degree Angular Scales by BICEP2 Ade, P. A. R.; Aikin, R. W.; Barkats, D. Physical Review Letters, Vol. 112, Issue 24 https://doi.org/10.1103/PhysRevLett.112.241101	journal	June 2014
Planck 2015 results : XV. Gravitational lensing Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525941	journal	September 2016
Faraday Rotation of Microwave Background Polarization by a Primordial Magnetic Field Kosowsky, Arthur; Loeb, Abraham The Astrophysical Journal, Vol. 469 https://doi.org/10.1086/177751	journal	September 1996
MEASUREMENTS OF SUB-DEGREE B -MODE POLARIZATION IN THE COSMIC MICROWAVE BACKGROUND FROM 100 SQUARE DEGREES OF SPTPOL DATA Keisler, R.; Hoover, S.; Harrington, N. The Astrophysical Journal, Vol. 807, Issue 2 https://doi.org/10.1088/0004-637X/807/2/151	journal	July 2015
Cosmological parameters from CMB and other data: a Monte-Carlo approach Lewis, Antony; Bridle, Sarah arXiv https://doi.org/10.48550/arxiv.astro-ph/0205436	text	January 2002
On the validity of cosmological Fisher matrix forecasts Wolz, Laura; Kilbinger, Martin; Weller, Jochen Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 09 https://doi.org/10.1088/1475-7516/2012/09/009	journal	September 2012
Separation of Gravitational-Wave and Cosmic-Shear Contributions to Cosmic Microwave Background Polarization Kesden, Michael; Cooray, Asantha; Kamionkowski, Marc arXiv https://doi.org/10.48550/arxiv.astro-ph/0202434	text	January 2002
The Polarbear-2 and the Simons Array Experiments Suzuki, A.; Ade, P.; Akiba, Y. Journal of Low Temperature Physics, Vol. 184, Issue 3-4 https://doi.org/10.1007/s10909-015-1425-4	journal	January 2016
The origin, evolution and signatures of primordial magnetic fields Subramanian, Kandaswamy Reports on Progress in Physics, Vol. 79, Issue 7 https://doi.org/10.1088/0034-4885/79/7/076901	journal	May 2016
The First Magnetic Fields Widrow, Lawrence M.; Ryu, Dongsu; Schleicher, Dominik arXiv https://doi.org/10.48550/arxiv.1109.4052	text	January 2011
Fermi/LAT observations of 1ES 0229+200: implications for extragalactic magnetic fields and background light Vovk, Ievgen; Taylor, Andrew M.; Semikoz, Dmitri arXiv https://doi.org/10.48550/arxiv.1112.2534	text	January 2011
Measurements of E-Mode Polarization and Temperature-E-Mode Correlation in the Cosmic Microwave Background from 100 Square Degrees of Sptpol data Crites, A. T.; Henning, J. W.; Ade, P. A. R. The Astrophysical Journal, Vol. 805, Issue 1 https://doi.org/10.1088/0004-637X/805/1/36	journal	May 2015
Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201527418	journal	September 2016
The intergalactic magnetic field constrained by Fermi/Large Area Telescope observations of the TeV blazar 1ES 0229+200: IGMFs and GeV emission of 1ES 0229+200 Tavecchio, F.; Ghisellini, G.; Foschini, L. Monthly Notices of the Royal Astronomical Society: Letters https://doi.org/10.1111/j.1745-3933.2010.00884.x	journal	June 2010
Gravitational lensing as a contaminant of the gravity wave signal in CMB Seljak, Uros; Hirata, Christopher M. arXiv https://doi.org/10.48550/arxiv.astro-ph/0310163	text	January 2003
Planck 2015 results : XIX. Constraints on primordial magnetic fields Ade, P. A. R.; Aghanim, N.; Arnaud, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525821	journal	September 2016
The Cosmological Impact of Luminous TeV Blazars I: Implications of Plasma Instabilities for the Intergalactic Magnetic Field and Extragalactic Gamma-Ray Background Broderick, Avery E.; Chang, Philip; Pfrommer, Christoph arXiv https://doi.org/10.48550/arxiv.1106.5494	text	January 2011
Planck 2015 results : XXVI. The Second Ade, P. A. R.; Aghanim, N.; Argüeso, F. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201526914	journal	September 2016
Cosmic Microwave Background Polarization Signals from Tangled Magnetic Fields Seshadri, T. R.; Subramanian, Kandaswamy The American Physical Society https://doi.org/10.17877/de290r-3834	text	January 2001
Measurements of E-Mode Polarization and Temperature-E-Mode Correlation in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data Crites, A. T.; Henning, J. W.; Ade, P. A. R. arXiv https://doi.org/10.48550/arxiv.1411.1042	text	January 2014
Quintessence and the Rest of the World: Suppressing Long-Range Interactions Carroll, Sean M. Physical Review Letters, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevLett.81.3067	journal	October 1998
The Impact of Atmospheric Fluctuations on Degree-scale Imaging of the Cosmic Microwave Background Lay, Oliver P.; Halverson, Nils W. arXiv https://doi.org/10.48550/arxiv.astro-ph/9905369	text	January 1999
Cosmological parameters from CMB and other data: A Monte Carlo approach Lewis, Antony; Bridle, Sarah Physical Review D, Vol. 66, Issue 10 https://doi.org/10.1103/PhysRevD.66.103511	journal	November 2002
Cosmological Signature of New Parity-Violating Interactions Lue, Arthur; Wang, Limin; Kamionkowski, Marc Physical Review Letters, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevLett.83.1506	journal	August 1999
POLARBEAR constraints on cosmic birefringence and primordial magnetic fields Ade, Peter A. R.; Arnold, Kam; Atlas, Matt Physical Review D, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevD.92.123509	journal	December 2015
Cosmic Microwave Background Polarization Signals from Tangled Magnetic Fields Seshadri, T. R.; Subramanian, Kandaswamy Physical Review Letters, Vol. 87, Issue 10 https://doi.org/10.1103/PhysRevLett.87.101301	journal	August 2001
The Impact of Atmospheric Fluctuations on Degree‐Scale Imaging of the Cosmic Microwave Background Lay, Oliver P.; Halverson, Nils W. The Astrophysical Journal, Vol. 543, Issue 2 https://doi.org/10.1086/317115	journal	November 2000
A MEASUREMENT OF THE COSMIC MICROWAVE BACKGROUND B -MODE POLARIZATION POWER SPECTRUM AT SUB-DEGREE SCALES WITH POLARBEAR P. A. R. Ade, The Polarbear Collaboration:; Akiba, Y.; Anthony, A. E. The Astrophysical Journal, Vol. 794, Issue 2 https://doi.org/10.1088/0004-637X/794/2/171	journal	October 2014
Improved Constraints on Cosmology and Foregrounds from BICEP2 and Keck Array Cosmic Microwave Background Data with Inclusion of 95 GHz Band Ade, P. A. R.; Ahmed, Z.; Aikin, R. W. Physical Review Letters, Vol. 116, Issue 3 https://doi.org/10.1103/PhysRevLett.116.031302	journal	January 2016
CMB temperature anisotropy from broken spatial isotropy due to a homogeneous cosmological magnetic field Kahniashvili, Tina; Lavrelashvili, George; Ratra, Bharat Physical Review D, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevD.78.063012	journal	September 2008
Cosmic Microwave Background Anisotropy Observing Strategy Assessment Knox, Lloyd The Astrophysical Journal, Vol. 480, Issue 1 https://doi.org/10.1086/303959	journal	May 1997
The origin, evolution and signatures of primordial magnetic fields Subramanian, Kandaswamy arXiv https://doi.org/10.48550/arxiv.1504.02311	text	January 2015
TAIPAN: optical spectroscopy with StarBugs Kuehn, Kyler; Lawrence, Jon; Brown, David M. SPIE Astronomical Telescopes + Instrumentation, SPIE Proceedings https://doi.org/10.1117/12.2055677	conference	July 2014
Demonstration of Cosmic Microwave Background Delensing Using the Cosmic Infrared Background Larsen, Patricia; Challinor, Anthony; Sherwin, Blake Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.7467	text	January 2016
A limit on the detectability of the energy scale of inflation Knox, Lloyd; Song, Yong-Seon arXiv https://doi.org/10.48550/arxiv.astro-ph/0202286	text	January 2002
SPT-3G: a next-generation cosmic microwave background polarization experiment on the South Pole telescope Benson, B. A.; Ade, P. A. R.; Ahmed, Z. SPIE Astronomical Telescopes + Instrumentation, SPIE Proceedings https://doi.org/10.1117/12.2057305	conference	July 2014
Planck 2015 results : XVI. Isotropy and statistics of the CMB Ade, P. A. R.; Aghanim, N.; Akrami, Y. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201526681	journal	September 2016
Planck 2015 results : VI. LFI mapmaking Ade, P. A. R.; Aghanim, N.; Ashdown, M. Astronomy & Astrophysics, Vol. 594 https://doi.org/10.1051/0004-6361/201525813	journal	September 2016
Limit on the Detectability of the Energy Scale of Inflation Knox, Lloyd; Song, Yong-Seon Physical Review Letters, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevLett.89.011303	journal	June 2002
Separation of Gravitational-Wave and Cosmic-Shear Contributions to Cosmic Microwave Background Polarization Kesden, Michael; Cooray, Asantha; Kamionkowski, Marc Physical Review Letters, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevLett.89.011304	journal	June 2002
FERMI /LAT OBSERVATIONS OF 1ES 0229+200: IMPLICATIONS FOR EXTRAGALACTIC MAGNETIC FIELDS AND BACKGROUND LIGHT Vovk, Ie.; Taylor, A. M.; Semikoz, D. The Astrophysical Journal, Vol. 747, Issue 1 https://doi.org/10.1088/2041-8205/747/1/L14	journal	February 2012
Detection of B -Mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope Hanson, D.; Hoover, S.; Crites, A. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.141301	journal	September 2013
Evidence for Strong Extragalactic Magnetic Fields from Fermi Observations of TeV Blazars Neronov, A.; Vovk, I. Science, Vol. 328, Issue 5974 https://doi.org/10.1126/science.1184192	journal	April 2010
Constraints on primordial magnetic fields from the optical depth of the cosmic microwave background Kunze, Kerstin E.; Komatsu, Eiichiro Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 06 https://doi.org/10.1088/1475-7516/2015/06/027	journal	June 2015
Microwave background signatures of a primordial stochastic magnetic field Mack, Andrew; Kahniashvili, Tina; Kosowsky, Arthur Physical Review D, Vol. 65, Issue 12 https://doi.org/10.1103/PhysRevD.65.123004	journal	June 2002
Prospects for Delensing the Cosmic Microwave Background for Studying Inflation Simard, Gabrielle; Hanson, Duncan; Holder, Gil The Astrophysical Journal, Vol. 807, Issue 2 https://doi.org/10.1088/0004-637X/807/2/166	journal	July 2015
On the Validity of Cosmological Fisher Matrix Forecasts Wolz, Laura; Kilbinger, Martin; Weller, Jochen arXiv https://doi.org/10.48550/arxiv.1205.3984	text	January 2012
Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models Lewis, Antony; Challinor, Anthony; Lasenby, Anthony The Astrophysical Journal, Vol. 538, Issue 2 https://doi.org/10.1086/309179	journal	August 2000
CMB anisotropies from primordial inhomogeneous magnetic fields Lewis, Antony arXiv https://doi.org/10.48550/arxiv.astro-ph/0406096	text	January 2004
Measurements of Sub-degree B-mode Polarization in the Cosmic Microwave Background from 100 Square Degrees of SPTpol Data Keisler, R.; Hoover, S.; Harrington, N. arXiv https://doi.org/10.48550/arxiv.1503.02315	text	January 2015
Constraining primordial magnetic fields with distortions of the black-body spectrum of the cosmic microwave background: pre- and post-decoupling contributions Kunze, Kerstin E.; Komatsu, Eiichiro Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 01 https://doi.org/10.1088/1475-7516/2014/01/009	journal	January 2014
Massive neutrinos and magnetic fields in the early universe Shaw, J. Richard; Lewis, Antony Physical Review D, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevD.81.043517	journal	February 2010
On the Nature of the Magnetic Fields Generated During the Electroweak Phase Transition Grasso, Dario; Riotto, Antonio arXiv https://doi.org/10.48550/arxiv.hep-ph/9707265	text	January 1997
Magnetic fields in the Large-Scale Structure of the Universe Ryu, Dongsu; Schleicher, Dominik R. G.; Treumann, Rudolf A. arXiv https://doi.org/10.48550/arxiv.1109.4055	text	January 2011
Magnetic Fields in the Large-Scale Structure of the Universe Ryu, D.; Schleicher, D. R. G.; Treumann, R. A. Space Science Reviews, Vol. 166, Issue 1-4 https://doi.org/10.1007/s11214-011-9839-z	journal	October 2011
Detection of B-mode Polarization in the Cosmic Microwave Background with Data from the South Pole Telescope Hanson, D.; Hoover, S.; Crites, A. arXiv https://doi.org/10.48550/arxiv.1307.5830	text	January 2013
The First Magnetic Fields Widrow, Lawrence M.; Ryu, Dongsu; Schleicher, Dominik R. G. Space Science Reviews, Vol. 166, Issue 1-4 https://doi.org/10.1007/s11214-011-9833-5	journal	October 2011
Extragalactic magnetic fields constraints from simultaneous GeV–TeV observations of blazars Taylor, A. M.; Vovk, I.; Neronov, A. Astronomy & Astrophysics, Vol. 529 https://doi.org/10.1051/0004-6361/201116441	journal	April 2011
The Atacama Cosmology Telescope: CMB polarization at 200 < ℓ < 9000 Naess, Sigurd; Hasselfield, Matthew; McMahon, Jeff Journal of Cosmology and Astroparticle Physics, Vol. 2014, Issue 10 https://doi.org/10.1088/1475-7516/2014/10/007	journal	October 2014
Advanced ACTPol Cryogenic Detector Arrays and Readout Henderson, S. W.; Allison, R.; Austermann, J. Journal of Low Temperature Physics, Vol. 184, Issue 3-4 https://doi.org/10.1007/s10909-016-1575-z	journal	March 2016
Gravitational lensing as a contaminant of the gravity wave signal in the CMB Seljak, Uroš; Hirata, Christopher M. Physical Review D, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevD.69.043005	journal	February 2004
Cosmological Magnetic Field: A Fossil of Density Perturbations in the Early Universe Ichiki, K. Science, Vol. 311, Issue 5762 https://doi.org/10.1126/science.1120690	journal	February 2006
Primordial magnetic field limits from cosmological data Kahniashvili, Tina; Tevzadze, Alexander G.; Sethi, Shiv K. Physical Review D, Vol. 82, Issue 8 https://doi.org/10.1103/PhysRevD.82.083005	journal	October 2010
Advanced ACTPol Cryogenic Detector Arrays and Readout Henderson, S. W.; Allison, R.; Austermann, J. arXiv https://doi.org/10.48550/arxiv.1510.02809	text	January 2015
The Magnetized Universe Giovannini, Massimo International Journal of Modern Physics D, Vol. 13, Issue 03 https://doi.org/10.1142/S0218271804004530	journal	March 2004
Primordial magnetic fields and causality Durrer, Ruth; Caprini, Chiara Journal of Cosmology and Astroparticle Physics, Vol. 2003, Issue 11 https://doi.org/10.1088/1475-7516/2003/11/010	journal	November 2003
Microwave Background Signatures of a Primordial Stochastic Magnetic Field Mack, Andrew; Kahniashvili, Tina; Kosowsky, Arthur arXiv https://doi.org/10.48550/arxiv.astro-ph/0105504	text	January 2001

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