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Reconstruction of lensing from the cosmic microwave background polarization

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arxiv astro-ph/0306354 v2 pith:DL2CPIWD submitted 2003-06-18 astro-ph

classification astro-ph
keywords lensingreconstructionpolarizationarcminfieldmicrokbackgroundcosmic
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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 microK 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 microK arcmin to a factor of ten at 0.25 microK arcmin, depending on the angular scale of interest.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On likelihood-based analysis of the gravitationally (de)lensed CMB

    astro-ph.CO 2025-02 accept novelty 7.0 of 10

    The exact lensing spectrum score is a posterior-averaged quadratic estimator on delensed maps with realization-dependent debiasing, plus a small 2-point term degenerate with CMB spectra.

  2. Cosmological Concordance in an Especially Opaque Universe: A Tentative Cosmological Detection of Physical Neutrino Mass in $\Lambda$CDM

    astro-ph.CO 2026-06 reject novelty 6.0 of 10

    Imposing a high prior on τ = 0.11 ± 0.006 produces a 2σ positive neutrino mass sum of 0.10 eV and restores concordance between CMB and DESI data inside ΛCDM.

  3. CMB Lensing Trispectrum as a Probe of Parity Violation in LSS

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    The CMB lensing trispectrum is sensitive to parity violation in large-scale structure, and a parity-odd toy model predicts a detectable signal in idealized noiseless forecasts.

  4. Optimal filtering for CMB lensing reconstruction

    astro-ph.CO 2019-09 accept novelty 6.0 of 10

    Optimal anisotropic CMB filtering plus a second-stage filter on the reconstructed lensing convergence map reduces lensing power spectrum variance by factor 2-5 relative to isotropic filtering, with up to 30% additiona...

  5. Detecting rotation from lensing in the CMB

    astro-ph.CO 2025-01 accept novelty 5.0 of 10

    If lensing field rotation also rotates CMB polarization, SPT-3G plus galaxy-survey templates should detect the effect at SNR~7, and CMB-S4 deep could detect it internally at 3.9σ.

  6. Constraints on Cosmic Strings from the Curl-Mode CMB Lensing Power Spectrum measured by ACT DR6

    astro-ph.CO 2026-06 unverdicted novelty 4.0 of 10

    ACT DR6 curl lensing yields 2σ bounds Gμ P^{-1} ≤ 3.5×10^{-5} (small-P) and Gμ ≤ 5.0×10^{-5} (P=1), tightened further with Planck 2013 data.

  7. The Cosmic Microwave Background -- Secondary Anisotropies

    astro-ph.CO 2025-01 unverdicted

    A comprehensive review of the physics, observational status, and future prospects of CMB secondary anisotropies, containing no new results.

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