First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Temperature‐Polarization Correlation
Open accessAbstract
The Wilkinson Microwave Anisotropy Probe ( WMAP ) has mapped the full sky in Stokes I , Q , and U parameters at frequencies of 23, 33, 41, 61, and 94 GHz. We detect correlations between the temperature and polarization maps significant at more than 10 σ. The correlations are inconsistent with instrument noise and are significantly larger than the upper limits established for potential systematic errors. The correlations are present in all WMAP frequency bands with similar amplitude from 23 to 94 GHz and are consistent with a superposition of a cosmic microwave background (CMB) signal with a weak foreground. The fitted CMB component is robust against different data combinations and fitting techniques. On small angular scales (θ < 5°), the WMAP data show the temperature-polarization correlation expected from adiabatic perturbations in the temperature power spectrum. The data for ℓ > 20 agree well with the signal predicted solely from the temperature power spectra, with no additional free parameters. We detect excess power on large angular scales (θ > 10°) compared to predictions based on the temperature power spectra alone. The excess power is well described by reionization at redshift 11 < z r < 30 at 95% confidence, depending on the ionization history. A model-independent fit to reionization optical depth yields results consistent with the best-fit Λ-dominated cold dark matter model, with best-fit value τ = 0.17 ± 0.04 at 68% confidence, including systematic and foreground uncertainties. This value is larger than expected given the detection of a Gunn-Peterson trough in the absorption spectra of distant quasars and implies that the universe has a complex ionization history: WMAP has detected the signal from an early epoch of reionization.
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The baryon asymmetry ratio is the only free input parameter that enters in nucleosynthesis calculations of the primordial abundance of light elements.
“This is the only free input parameter that enters in nucleosynthesis calculations of the primordial abundance of light elements[12, 13].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [13]
The Introduction discusses CMB polarization and the photon-baryon fluid, while §5.3 discusses baryon density in the context of reionization; neither addresses nucleosynthesis inputs. Searches for primordial nucleosynthesis, light-element abundances, and the baryon-to-photon ratio found no passage saying that the ratio is the only free input parameter. (LLM, conf=0.76)
Experimental — accuracy not yet measuredThese quark nuggets could contribute to the dark matter today or affect BBN.
“These quark nuggets could contribute to the dark matter today [95] or affect BBN [12, 13].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [13]
The citation [95] is attached to the claim that quark nuggets could contribute to dark matter today; the BBN clause has different citations. Our copy discusses cold dark matter in the Abstract and Introduction, but the passages found for “quark nuggets” and “dark matter” do not address quark nuggets as a dark-matter candidate. No page numbers are available in the indexed passages. (LLM, conf=0.76)
Experimental — accuracy not yet measuredThe standard (homogeneous) BBN scenario is in good agreement with observations.
“This is in good agreement with observations [12, 13].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [13]
The passages in §§5.1–5.3 discuss CMB temperature–polarization measurements and reionization, not whether standard homogeneous big bang nucleosynthesis agrees with observations. Searches for BBN, nucleosynthesis, and primordial light-element abundances found no passage addressing that comparison. (LLM, conf=0.72)
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Cites
Spergel, D. N., Verde, L., Peiris, H. V., Komatsu, E., Nolta, M. R., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377226 · Cited by 10,976 · see citing works
Self-citationBennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860 · see citing works
Self-citationA Line-of-Sight Integration Approach to Cosmic Microwave Background Anisotropies
Seljak, U., & Zaldarriaga, M. (1996) · The Astrophysical Journal · doi:10.1086/177793 · Cited by 1,941 · see citing works
A line of sight integration approach to cosmic microwave background anisotropiesPreprint
Zaldarriaga, M. (1996) · Cited by 1,277 · see citing works
Four-Year [ITAL]COBE[/ITAL] DMR Cosmic Microwave Background Observations: Maps and Basic Results
Bennett, C. L., Banday, A. J., Gorski, K. M., Hinshaw, G. F., Jackson, P., Keegstra, P., Kogut, A., Smoot, G. F., Wilkinson, D. T., & WRIGHT, E. L. (1996) · The Astrophysical Journal · doi:10.1086/310075 · Cited by 1,255 · see citing works
Self-citationFirst‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications For Inflation
Peiris, H. V., Komatsu, E., Verde, L., Spergel, D. N., Bennett, C. L., Halpern, M., Hinshaw, G. F., Jarosik, N., Kogut, A., Limon, M., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377228 · Cited by 1,159 · see citing works
Self-citationAll-sky analysis of polarization in the microwave background
Zaldarriaga, M., & Seljak, U. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.1830 · Cited by 1,149 · see citing works
Statistics of cosmic microwave background polarization
Kamionkowski, M., Kosowsky, A. B., & Stebbins, A. J. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.7368 · Cited by 1,002 · see citing works
Bennett, C. L., Hill, R. S., Hinshaw, G., Nolta, M. R., Odegard, N., Page, L., Spergel, D. N., Weiland, J. L., Wright, E. L., Halpern, M., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377252 · Cited by 991 · see citing works
Self-citationBecker, R. H., Fan, X., White, R. L., Strauss, M. A., Narayanan, V. K., Lupton, R. H., Gunn, J. E., Annis, J., Bahcall, N. A., Brinkmann, J. V., et al. (2001) · The Astronomical Journal · doi:10.1086/324231 · Cited by 947 · see citing works
First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: The Angular Power Spectrum
Hinshaw, G. F., Spergel, D. N., Verde, L., Hill, R., Meyer, S. S., Barnes, C., Bennett, C. L., Halpern, M., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377225 · Cited by 882 · see citing works
Self-citationHow Small Were the First Cosmological Objects?
Tegmark, M., Silk, J. I., Rees, M. J., et al. (1997) · The Astrophysical Journal · doi:10.1086/303434 · Cited by 877 · see citing works
Hivon, E. F., Gorski, K. M., Netterfield, C. B., Crill, B. P., Prunet, S., & Hansen, F. K. (2002) · The Astrophysical Journal · doi:10.1086/338126 · Cited by 844 · see citing works
Cosmic Microwave Background Anisotropies
Hu, W., & Dodelson, S. (2002) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev.astro.40.060401.093926 · Cited by 745 · cited 2× · see citing works
“…pattern expected from a given power spectrum of temperature anisotropy (Rees (1968); Kaiser (1983); Bond & Efstathiou (1984); Coulson et al. (1994); Kamionkowski et al. (1997); Zaldarriaga & Seljak (1997); Hu & White (1997); for recent reviews, see Kosowsky (1996); Hu & Dodelson (2002)).”
Cosmic background radiation anisotropies in universes dominated by nonbaryonic dark matter
Bond, J. R., & Efstathiou, G. (1984) · The Astrophysical Journal · doi:10.1086/184362 · Cited by 680 · see citing works
Detection of polarization in the cosmic microwave background using DASI
Kovac, J. M., Leitch, E. M., Pryke, C. L., Carlstrom, J. E., Halverson, N. W., & Holzapfel, W. L. (2002) · Nature · doi:10.1038/nature01269 · Cited by 651 · see citing works
The Microwave Anisotropy Probe Mission
Bennett, C. L., Bay, M., Halpern, M., Hinshaw, G. F., Jackson, C. E., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L. A., et al. (2003) · The Astrophysical Journal · doi:10.1086/345346 · Cited by 549 · see citing works
Self-citationReionization of the Universe and the Early Production of Metals
Gnedin, N. Y., & Ostriker, J. P. (1997) · The Astrophysical Journal · doi:10.1086/304548 · Cited by 530 · see citing works
Fan, X., Narayanan, V. K., Strauss, M. A., et al. (2002) · The Astronomical Journal · doi:10.1086/339030 · Cited by 528 · see citing works
Rotenberg, M., Bivins, R. L., Metropolis, N., et al. (1959) · Cited by 472 · see citing works
CMB anisotropies: Total angular momentum method
Hu, W., & White, M. J. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.596 · Cited by 443 · see citing works
The Radiative Feedback of the First Cosmological Objects
Haiman, Z., Abel, T., & Rees, M. J. (2000) · The Astrophysical Journal · doi:10.1086/308723 · Cited by 383 · see citing works
The Universe Was Reionized Twice
Cen, R. (2003) · The Astrophysical Journal · doi:10.1086/375217 · Cited by 285 · see citing works
Reionization of Hydrogen and Helium by Early Stars and Quasars
Wyithe, J. S. B., & Loeb, A. (2003) · The Astrophysical Journal · doi:10.1086/367721 · Cited by 266 · see citing works
Cosmic Microwave Background Polarization
Kosowsky, A. B. (1996) · Annals of Physics · doi:10.1006/aphy.1996.0020 · Cited by 238 · see citing works
Polarization and Spectrum of the Primeval Radiation in an Anisotropic Universe
Rees, M. J. (1968) · The Astrophysical Journal · doi:10.1086/180208 · Cited by 229 · see citing works
On the Threshold of the Reionization Epoch
Djorgovski, S. G., Castro, S., Stern, D. K., & Mahabal, A. A. (2001) · The Astrophysical Journal · doi:10.1086/324175 · Cited by 226 · see citing works
Polarization of the microwave background in reionized models
Zaldarriaga, M. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.55.1822 · Cited by 196 · see citing works
Reionization by Hard Photons. I. X‐Rays from the First Star Clusters
Oh, S. P. (2001) · The Astrophysical Journal · doi:10.1086/320957 · Cited by 191 · see citing works
Heating and Ionization of the Intergalactic Medium by an Early X‐Ray Background
Venkatesan, A., Giroux, M. L., & Shull, J. M. (2001) · The Astrophysical Journal · doi:10.1086/323691 · Cited by 174 · see citing works
Hinshaw, G. F., Barnes, C., Bennett, C. L., Greason, M. R., Halpern, M., Hill, R., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377222 · Cited by 169 · see citing works
Self-citationPage, L., Barnes, C., Hinshaw, G., Spergel, D. N., Weiland, J. L., Wollack, E., Bennett, C. L., Halpern, M., Jarosik, N., Kogut, A., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377223 · Cited by 163 · see citing works
Self-citationSmall-angle anisotropy of the microwave background radiation in the adiabatic theory
Kaiser, N. (1983) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/202.4.1169 · Cited by 156 · see citing works
Probing the Reionization History of the Universe using the Cosmic Microwave Background Polarization
Kaplinghat, M., Chu, M., Haiman, Z., Holder, G. P., Knox, L., & Skordis, C. (2003) · The Astrophysical Journal · doi:10.1086/344927 · Cited by 151 · see citing works
A 1.4 GHz radio continuum and polarization survey at medium Galactic latitudes
Uyanıker, B., Fürst, E., Reich, W., Reich, P., & Wielebinski, R. (1999) · Astronomy & Astrophysics Supplement Series · doi:10.1051/aas:1999494 · Cited by 139 · see citing works
Reionization By Hard Photons. I. X-Rays From the First Star ClustersPreprint
Oh, S. P. (2001) · Cited by 124 · see citing works
Design, Implementation, and Testing of the Microwave Anisotropy Probe Radiometers
Jarosik, N., Bennett, C. L., Halpern, M., Hinshaw, G. F., Kogut, A., Limon, M., Meyer, S. S., Page, L. A., Pospieszalski, M. W., Spergel, D. N., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/346080 · Cited by 119 · see citing works
Self-citationThe Optical Design and Characterization of theMicrowave Anisotropy Probe
Page, L. A., Jackson, C. E., Barnes, C., Bennett, C. L., Halpern, M., Hinshaw, G. F., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., et al. (2003) · The Astrophysical Journal · doi:10.1086/346078 · Cited by 92 · see citing works
Self-citationEvolving Spectra of Population III Stars: Consequences for Cosmological Reionization
Venkatesan, A., Tumlinson, J., & Shull, J. M. (2003) · The Astrophysical Journal · doi:10.1086/345738 · Cited by 84 · see citing works
Polarization and Anisotropy of the Microwave Sky
Coulson, D., Crittenden, R., & Turok, N. (1994) · Physical Review Letters · doi:10.1103/physrevlett.73.2390 · Cited by 72 · see citing works
Erratum: “Destruction of Molecular Hydrogen during Cosmological Reionization” (ApJ, 476, 458 [1997])
Haiman, Z., Rees, M. J., & Loeb, A. (1997) · The Astrophysical Journal · doi:10.1086/304386 · Cited by 72 · see citing works
Rotenberg, M., Bivins, R. L., Metropolis, N., et al. (1960) · Physics Today · doi:10.1063/1.3062771 · Cited by 63 · see citing works
Barnes, C., Hill, R., Hinshaw, G. F., Page, L. A., Bennett, C. L., Halpern, M., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377227 · Cited by 60 · see citing works
Self-citationA 1.4 GHz radio continuum and polarization survey at medium Galactic latitudes
Uyanıker, B., Fürst, E., Reich, W., Reich, P., & Wielebinski, R. (1998) · Astronomy & Astrophysics Supplement Series · doi:10.1051/aas:1998449 · Cited by 60 · see citing works
Polarization of the cosmic background radiation
Lubin, P. M., & Smoot, G. F. (1981) · The Astrophysical Journal · doi:10.1086/158780 · Cited by 57 · see citing works
Power spectrum of the polarized diffuse Galactic radio emission
Baccigalupi, C., Burigana, C., Perrotta, F., et al. (2001) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20010414 · Cited by 52 · see citing works
Thermal history constraints on the isocurvature baryon model
Hu, W., & Sugiyama, N. (1994) · The Astrophysical Journal · doi:10.1086/174921 · Cited by 38 · see citing works
The power-law behaviours of angular spectra of polarized Galactic synchrotron
Bruscoli, M., Tucci, M., Natale, V., et al. (2002) · New Astronomy · doi:10.1016/s1384-1076(02)00105-7 · Cited by 32 · see citing works
Polarization Angular Spectra of Galactic Synchrotron Emission on Arcminute Scales
Tucci, M., Carretti, E., Cecchini, S., et al. (2002) · The Astrophysical Journal · doi:10.1086/342793 · Cited by 30 · see citing works
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Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860 · see citing works
Self-citationDunkley, J., Komatsu, E., Nolta, M. R., Spergel, D. N., Larson, D., Hinshaw, G., Page, L., Bennett, C. L., Gold, B., Jarosik, N., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/306 · Cited by 1,787 · see citing works
Self-citationCMB power spectra and cosmological parameters from <i>Planck</i> PR4 with CamSpec
Rosenberg, E., Gratton, S., & Efstathiou, G. (2022) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stac2744 · Cited by 225 · see citing works
Phase Transitions in the Early and Present Universe
Boyanovsky, D., de Vega, H. J., & Schwarz, D. J. (2006) · Annual Review of Nuclear and Particle Science · doi:10.1146/annurev.nucl.56.080805.140539 · Cited by 146 · see citing works
Constraining slow-roll inflation with WMAP and 2dF
Leach, S. M., & Liddle, A. R. (2003) · Physical Review D · doi:10.1103/physrevd.68.123508 · Cited by 135 · see citing works
Cirigliano, D., de Vega, H. J., & Sanchez, N. G. (2005) · Physical Review D · doi:10.1103/physrevd.71.103518 · Cited by 24 · see citing works
- Authors
- Kogut, A., Spergel, D. N., Barnes, C., Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Limon, M., Meyer, S. S., Page, L., Tucker, G. S., Wollack, E., & Wright, E. L.
- Affiliations
- Goddard Space Flight Center (US)
- Princeton University (US)
- University of British Columbia (CA)
- University of Chicago (US)
- University of California, Los Angeles (US)
- ORCID
- Venue
- The Astrophysical Journal Supplement Series
- Publisher
- American Astronomical Society
- Published
- 2003-09
- Volume
- 148
- Issue
- 1
- Pages
- 161-173
- ISSN
- 0067-0049 (ISSN-L)
- 1538-4365
- OpenAlex
- W2951034677
- Cited by
- 938
- References
- 49
- Citations by year
- 2026: 5 · 2025: 12 · 2024: 8 · 2023: 11 · 2022: 8 · 2021: 4 · 2020: 7 · 2019: 9 · 2018: 6 · 2017: 10 · 2016: 20 · 2015: 19 · 2014: 16 · 2013: 9 · 2012: 19
- FWCI
- 121.64
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- The Astrophysical Journal Supplement Series (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Aeronautics and Space Administration
- Princeton University
- Goddard Space Flight Center
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Keywords
- cosmic microwave background, WMAP, adiabatic perturbations, cosmic reionization, optical depth, ionization history, foregrounds, Gunn-Peterson trough, CDM cosmology
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