Year: 2019
Type: article
Abstract: We describe a fast, optimal estimator for measuring angular bispectra between two correlated weakly non-Gaussian fields ( Y and Z ) from observational datasets, based on a separable modal bispectrum expansion. Our methodology is applicable to (1) any shape of the input theoretical bispectrum templates (factorizable or not), (2) both even and odd ℓ 1 + ℓ 2 + ℓ 3 multipole domains and (3) both amplitude ( f NL ) bispectrum estimation and full bispectrum reconstruction, considering either joint estimation of ( YYY , ZZZ , YYZ and ZZY ) shapes, or independent estimation of auto-bispectra ( YYY or ZZZ ) and cross-bispectra ( YYZ or ZZY ); hence, it has quite high versatility. The methodology described here was implemented and used for the official analysis of temperature and polarization cosmic microwave background maps from the Planck satellite.
Authors: Maresuke Shiraishi, Michele Liguori, James R. Fergusson, E.P.S. Shellard
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Awards: G1259507762, G1541806023, G165597396, G1736745720, G2073976794, Determining the inflationary particle content through the cosmological collider physics, G2840404975, G3531124447, G3563244976, G5660267321, G588734541, G6181174915, G6537386148, G6926846737, Testing Gaussianity of primordial gravitational waves toward understanding the inflationary Universe, G7521014512, G7573294876, G7937591081, G8050714359, G878803593
OpenAlex ID: W2933669286