Optimal cosmic microwave background lensing reconstruction and parameter estimation with SPTpol data.
MILLEA M., DALEY C.M., CHOU T.-L., ANDERES E., ADE P.A.R., ANDERSON A.J., AUSTERMANN J.E., AVVA J.S., BEALL J.A., BENDER A.N., BENSON B.A., BIANCHINI F., BLEEM L.E., CARLSTROM J.E., CHANG C.L., CHAUBAL P., CHIANG H.C., CITRON R., CORBETT MORAN C., CRAWFORD T.M., CRITES A.T., DE HAAN T., DOBBS M.A., EVERETT W., GALLICCHIO J., GEORGE E.M., GOECKNER-WALD N., GUNS S., GUPTA N., HALVERSON N.W., HENNING J.W., HILTON G.C., HOLDER G.P., HOLZAPFEL W.L., HRUBES J.D., HUANG N., HUBMAYR J., IRWIN K.D., KNOX L., LEE A.T., LI D., LOWITZ A., McMAHON J.J., MEYER S.S., MOCANU L.M., MONTGOMERY J., NATOLI T., NIBARGER J.P., NOBLE G., NOVOSAD V., OMORI Y., PADIN S., PATIL S., PRYKE C., REICHARDT C.L., RUHL J.E., SALIWANCHIK B.R., SCHAFFER K.K., SIEVERS C., SMECHER G., STARK A.A., THORNE B., TUCKER C., VEACH T., VIEIRA J.D., WANG G., WHITEHORN N., WU W.L.K. and YEFREMENKO V.
Abstract (from CDS):
We perform the first simultaneous Bayesian parameter inference and optimal reconstruction of the gravitational lensing of the cosmic microwave background (CMB), using 100 deg2 of polarization observations from the SPTpol receiver on the South Pole Telescope. These data reach noise levels as low as 5.8 µK arcmin in polarization, which are low enough that the typically used quadratic estimator (QE) technique for analyzing CMB lensing is significantly suboptimal. Conversely, the Bayesian procedure extracts all lensing information from the data and is optimal at any noise level. We infer the amplitude of the gravitational lensing potential to be Aφ=0.949±0.122 using the Bayesian pipeline, consistent with our QE pipeline result, but with 17% smaller error bars. The Bayesian analysis also provides a simple way to account for systematic uncertainties, performing a similar job as frequentist "bias hardening" or linear bias correction, and reducing the systematic uncertainty on Aph due to polarization calibration from almost half of the statistical error to effectively zero. Finally, we jointly constrain Aph along with AL, the amplitude of lensing-like effects on the CMB power spectra, demonstrating that the Bayesian method can be used to easily infer parameters both from an optimal lensing reconstruction and from the delensed CMB, while exactly accounting for the correlation between the two. These results demonstrate the feasibility of the Bayesian approach on real data, and pave the way for future analysis of deep CMB polarization measurements with SPT-3G, Simons Observatory, and CMB-S4, where improvements relative to the QE can reach 1.5 times tighter constraints on Aph and seven times lower effective lensing reconstruction noise.
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(GRS,Kes,...),
HII
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Syntax of coordinates is : "ra dec (wtype) [error ellipse] quality bibcode" :
ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
quality : flag of quality
E ≥ 10"
D : 1-10" (and some old data)
C : 0.1-1"
B : 0.01-0.1" + 2MASS, Tyc
A : VLBI, Hipparcos
bibcode : bibcode of the coordinates reference
ICRS
coord.
(ep=J2000) :
08 59 05.50 -47 30 39.4
[
]
D
~
Syntax of coordinates is : "ra dec (wtype) [error ellipse] quality bibcode" :
ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
quality : flag of quality
E ≥ 10"
D : 1-10" (and some old data)
C : 0.1-1"
B : 0.01-0.1" + 2MASS, Tyc
A : VLBI, Hipparcos
bibcode : bibcode of the coordinates reference
FK4
coord.
(ep=B1950 eq=1950) :
08 57 23.57 -47 18 56.1
[
]
Syntax of coordinates is : "ra dec (wtype) [error ellipse] quality bibcode" :
ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
quality : flag of quality
E ≥ 10"
D : 1-10" (and some old data)
C : 0.1-1"
B : 0.01-0.1" + 2MASS, Tyc
A : VLBI, Hipparcos
bibcode : bibcode of the coordinates reference
Gal
coord.
(ep=J2000) :
267.94067 -01.05770
[
]
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References (306 between 1850 and 2024) (Total 306)
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