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Reconstruction of lensing from the cosmic microwave background polarization

Hirata, Christopher M. and Seljak, Uroš (2003) Reconstruction of lensing from the cosmic microwave background polarization. Physical Review D, 68 (8). Art. No. 083002. ISSN 0556-2821.

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Gravitational lensing of the cosmic microwave background (CMB) polarization field has been recognized as a potentially valuable probe of the cosmological density field. We apply likelihood-based techniques to the problem of lensing of CMB polarization and show that if the B-mode polarization is mapped, then likelihood-based techniques allow significantly better lensing reconstruction than is possible using the previous quadratic estimator approach. With this method the ultimate limit to lensing reconstruction is not set by the lensed CMB power spectrum. Second-order corrections are known to produce a curl component of the lensing deflection field that cannot be described by a potential; we show that this does not significantly affect the reconstruction at noise levels greater than 0.25 μK arcmin. The reduction of the mean squared error in the lensing reconstruction relative to the quadratic method can be as much as a factor of two at noise levels of 1.4 μK arcmin to a factor of ten at 0.25 μK arcmin, depending on the angular scale of interest.

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Additional Information:©2003 The American Physical Society. Received 18 June 2003; published 22 October 2003. We would like to thank Wayne Hu and Lyman Page for useful comments. C.H. acknowledges useful discussions with Mike Kesden, Asantha Cooray, and Marc Kamionkowski. C.H. is supported by the NASA Graduate Student Research Program, grant no. NTGT5-50383. U.S. acknowledges support from Packard and Sloan Foundations, NASA NAG5-11983 and NSF CAREER-0132953.
Funding AgencyGrant Number
NASA Graduate Student Research ProgramNTGT5-50383
David and Lucille Packard FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
National Science FoundationNSF CAREER-0132953
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ID Code:11093
Deposited By: Archive Administrator
Deposited On:14 Jul 2008 21:26
Last Modified:26 Dec 2012 10:08

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