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Title: A unified pseudo-C ℓ framework

Journal Article · · Monthly Notices of the Royal Astronomical Society
 [1]; ORCiD logo [2];  [3]
  1. Cardiff Univ., Cardiff (United States). School of Physics and Astronomy; Univ. of Oxford, Oxford (United Kingdom). Dept. of Physics
  2. Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
+ Show Author Affiliations

The pseudo-Cℓ is an algorithm for estimating the angular power and cross-power spectra that is very fast and in realistic cases also nearly optimal. The algorithm can be extended to deal with contaminant deprojection and E/B purification, and can therefore be applied in a wide variety of scenarios of interest for current and future cosmological observations. This paper presents NAMASTER, a public, validated, accurate and easy-to-use software package that, for the first time, provides a unified framework to compute angular cross-power spectra of any pair of spin-0 or spin-2 fields, contaminated by an arbitrary number of linear systematics and requiring B- or E-mode purification, both on the sphere or in the flat-sky approximation. We describe the mathematical background of the estimator, including all the features above, and its software implementation in NAMASTER. We construct a validation suite that aims to resemble the types of observations that next-generation large-scale structure and ground-based CMB experiments will face, and use it to show that the code is able to recover the input power spectra in the most complex scenarios with no detectable bias. NAMASTER can be found at https://github.com/LSSTDESC/NaMaster, and is provided with comprehensive documentation and a number of code examples.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Organization:
LSST Dark Energy Science Collaboration
Grant/Contract Number:
SC0012704
OSTI ID:
1507692
Report Number(s):
BNL--211561-2019-JAAM
Journal Information:
Monthly Notices of the Royal Astronomical Society, Journal Name: Monthly Notices of the Royal Astronomical Society Journal Issue: 3 Vol. 484; ISSN 0035-8711
Publisher:
Royal Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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Planck 2015 results. XIII. Cosmological parameters text January 2015
Hierarchical Cosmic Shear Power Spectrum Inference text January 2015
The Dark Energy Survey: more than dark energy - an overview text January 2016
Survey strategy optimization for the Atacama Cosmology Telescope text January 2016
The Python Sky Model: software for simulating the Galactic microwave sky text January 2016
The third data release of the Kilo-Degree Survey and associated data products text January 2017
Dark Energy Survey Year 1 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing text January 2017
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Fast estimation of polarization power spectra using correlation functions text January 2003
Exact likelihood evaluations and foreground marginalization in low resolution WMAP data text January 2004
HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere text January 2004
On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: I. Method text January 1994
An All-Sky Analysis of Polarization in the Microwave Background text January 1996
Estimating the Power Spectrum of the Cosmic Microwave Background text January 1997
Cosmic microwave background anisotropy power spectrum statistics for high precision cosmology text January 1998

Cited By (10)

Impact of foregrounds on H i intensity mapping cross-correlations with optical surveys journal July 2019
Wiener filtering and pure $\mathcal {E}/\mathcal {B}$ decomposition of CMB maps with anisotropic correlated noise journal September 2019
Tomographic measurement of the intergalactic gas pressure through galaxy–tSZ cross-correlations journal December 2019
Cosmic shear: Inference from forward models journal July 2019
Methods for pixel domain correction of E B leakage journal July 2019
Large-scale Maps of the Cosmic Infrared Background from Planck journal September 2019
Mapping the Magnetic Interstellar Medium in Three Dimensions over the Full Sky with Neutral Hydrogen journal December 2019
Impact of Foregrounds on HI Intensity Mapping Cross-Correlations with Optical Surveys text January 2019
Cosmic Shear: Inference from Forward Models text January 2019
Mapping the Magnetic Interstellar Medium in Three Dimensions Over the Full Sky with Neutral Hydrogen text January 2019

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