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The Needlet CMB Trispectrum

Published online by Cambridge University Press:  01 July 2015

Antonino Troja ,
Simona Donzelli ,
Davide Maino  and
Domenico Marinucci
Antonino Troja*
Affiliation:
Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133, Milano (MI), Italy
Simona Donzelli
Affiliation:
INAF - Istituto di Astrofisica Spaziale e Fisica Cosmica, Milano, Via E. Bassini 15, 20133, Milano (MI), Italy
Davide Maino
Affiliation:
Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133, Milano (MI), Italy
Domenico Marinucci
Affiliation:
Dipartimento di Matematica, Università degli Studi di Roma Tor Vergata, Via della Ricerca Scientifica, 00133, Roma (RM), Italy
*
†email: antonino.troja@unimi.it
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Abstract

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We propose a computationally feasible estimator for the needlet trispectrum, which develops earlier work on the bispectrum by Donzelli et al. (2012). Our proposal seems to enjoy a number of useful properties, in particular a) the construction exploits the localization properties of the needlet system, and hence it automatically handles masked regions; b) the procedure incorporates a quadratic correction term to correct for the presence of instrumental noise and sky-cuts; c) it is possible to provide analytic results on its statistical properties, which can serve as a guidance for simulations. The needlet trispectrum we present here provides the natural building blocks for the efficient estimation of nonlinearity parameters on CMB data, and in particular for the third order constants gNL and τNL.

Keywords

cosmic microwave backgroundearly universe
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 10 , Symposium S306: Statistical Challenges in 21st Century Cosmology , May 2014 , pp. 48 - 50
Copyright
Copyright © International Astronomical Union 2015 

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