CMB Lensing Reconstruction on the Full Sky

By T. Okamoto, Wayne Hu. 2003

165 citations recorded by the source corpus.

Gravitational lensing of the microwave background by the intervening dark matter mainly arises from large-angle ﬂuctuations in the projected gravitational potential and hence oﬀers a unique opportunity to study the physics of the dark sector at large scales. Studies with surveys that cover greater than a percent of the sky will require techniques that incorporate the curvature of the sky. We lay the groundwork for these studies by deriving the full sky minimum variance quadratic estimators of the lensing potential from the CMB temperature and polarization ﬁelds. We also present a general technique for constructing these estimators, with harmonic space convolutions replaced by real space products, that is appropriate for both the full sky limit and the ﬂat sky approximation. This also extends previous treatments to include estimators involving the temperature-polarization cross-correlation and should be useful for next generation experiments in which most of the additional information from polarization comes from this channel due to sensitivity limitations.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/2ce3676d8e7020461a79761cd46656b4339f0477

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

Citations in the corpus

Robust forecasts on fundamental physics from the foreground-obscured, gravitationally-lensed CMB polarization (2015, background): “In the CMB×CMB case, the noise on this estimate is [28]”
CMB lensing from Planck PR4 maps (2022, methodology): “ch optimized combinations of quadratic estimators presented in early work by Okamoto and Hu [7, 8], and was named GMV (Generalized Minimum Variance) by Ref.”
Planck2018 results (2018, methodology): “This signal is extracted using a minimum-variance combination of a full set of temperature- and polarization-based quadratic lensing estimators (Okamoto & Hu 2003) applied to the SMICA CMB map over approximately 70 % of the sky using CMB multipoles 100 ≤ ` ≤ 2048, as described in PPLe18.”
Status of Neutrino Properties and Future Prospects—Cosmological and Astrophysical Constraints (2017, methodology): “such as Cosmic Infrared Background (CIB) maps, therefore leading to an “external” reconstruction [56] (opposite to the “internal” reconstruction performed with the use of CMB-based only estimators [57, 58]).”
Delensing CMB polarization with external datasets (2010, methodology): “Under these assumptions, the noise power spectrum of the lens reconstruction obtained using the TT estimator is given by [34]:”