Mass Reconstruction with Cosmic Microwave Background Polarization

By Wayne Hu, T. Okamoto. 2001

408 citations recorded by the source corpus.

Weak gravitational lensing by the intervening large-scale structure of the universe induces high-order correlations in the cosmic microwave background temperature and polarization fields. We construct minimum variance estimators of the intervening mass distribution out of the six quadratic combinations of the temperature and polarization fields. Polarization begins to assist in the reconstruction when E-mode mapping becomes possible on degree-scale fields, i.e., for an experiment with a noise level of ~40 μK arcmin and beam of ~7', similar to the Planck experiment; surpasses the temperature reconstruction at ~26 μK arcmin and 4'; and yet continues to improve the reconstruction until the lensing B-modes are mapped to l ~ 2000 at ~0.3 μK arcmin and 3'. Ultimately, the correlation between the E- and B-modes can provide a high signal-to-noise ratio mass map out to multipoles of L ~ 1000, extending the range of temperature-based estimators by nearly an order of magnitude. We outline four applications of mass reconstruction: measurement of the linear power spectrum in projection to the cosmic variance limit out to L ~ 1000 (or wavenumbers 0.002 ≲ k ≲ 0.2 in h Mpc-1), cross-correlation with cosmic shear surveys to probe the evolution of structure tomographically, cross-correlation of the mass and temperature maps to probe the dark energy, and the separation of lensing and gravitational wave B-modes.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/ce282317db219ef2d04c6c09b7d1c7209ff58a94

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In Astronomy and Astrophysics

Citations in the corpus

A MEASUREMENT OF THE COSMIC MICROWAVE BACKGROUND B-MODE POLARIZATION POWER SPECTRUM AT SUB-DEGREE SCALES WITH POLARBEAR (2014, methodology): “This polarization sensitivity allows the reconstruction of the lensing signal with more precision from polarization than from CMB temperature (Hu & Okamoto 2002).”
The pre-launch Planck Sky Model: a model of sky emission at submillimetre to centimetre wavelengths (2012, methodology): “Although marginally detectable in WMAP data, CMB lensing should be measured with high signal to noise by Planck without need to rely on an external data set (Hu & Okamoto 2002).”
Phases of new physics in the CMB (2015, methodology): “For CMB-S4, the lensing reconstruction noise was computed using the iterated delensing method described in [54] (based on [55–57]).”
The Atacama Cosmology Telescope: cosmological parameters from three seasons of data (2013, positive): “The lensing spectrum is estimated from the ACT temperature maps using an optimal quadratic estimator (Hu & Okamoto 2002).”
SIMULATIONS OF THE MICROWAVE SKY (2009, background): “Large-Scale Structure Simulation A simulation of the large-scale structure of the Universe is performed using the same methods as previously described in Bode et al. (2007) and Sehgal et al. (2007), and we refer the reader to their papers for additional details.”
A MEASUREMENT OF GRAVITATIONAL LENSING OF THE MICROWAVE BACKGROUND USING SOUTH POLE TELESCOPE DATA (2012, methodology): “The most well-studied estimators reconstruct lensing using the coupled nature of CMB modes in the Fourier domain (Bernardeau 1997; Zaldarriaga 2000), which can be optimized with particular choices of filters (Hu 2001a,b; Hu & Okamoto 2002; Okamoto & Hu 2003).”
Detection of polarization in the cosmic microwave background using DASI (2002, background): “…by the gravitational lensing of the intervening large scale structure in the universe will lead to a contaminating B-mode polarization signal which will severely complicate the extraction of the gravity-wave induced signal (Zaldarriaga & Seljak 1998; Hu & Okamoto 2002; Knox & Song 2002).”
COrE (Cosmic Origins Explorer) A White Paper (2011, methodology): “Fixed lenses correlate the observed CMB with the gradient of the unlensed CMB and this property can be used to construct quadratic estimators for the lensing deflection field [34].”