On the linear term correction for needlets/wavelets non-Gaussianity estimators

Details On the linear term correction for needlets/wavelets non-Gaussianity estimators On the linear term correction for needlets/wavelets non-Gaussianity estimators

2012-02-07

arxiv.org/abs/1202.1478v1

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

10 pages, submitted to ApJ

Scientific paper

We derive the linear correction term for needlet and wavelet estimators of the bispectrum and the non-linearity parameter fNL on cosmic microwave background radiation data. We show that on masked WMAP-like data with anisotropic noise, the error bars improve by 10-20% and almost reach the optimal error bars obtained with the KSW estimator (Komatsu et al 2005). In the limit of full-sky and isotropic noise, this term vanishes. We apply needlet and wavelet estimators to the WMAP 7-year data and obtain our best estimate fNL=37.5 \pm 21.8.

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