Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-11-06
Mon.Not.Roy.Astron.Soc. 341 (2003) 623
Astronomy and Astrophysics
Astrophysics
24 pages, 13 figures
Scientific paper
10.1046/j.1365-8711.2003.06438.x
We describe different methods for estimating the bispectrum of Cosmic Microwave Background data. In particular we construct a minimum variance estimator for the flat-sky limit and compare results with previously-studied frequentist methods. Application to the MAXIMA dataset shows consistency with primordial Gaussianity. Weak quadratic non-Gaussianity is characterised by a tunable parameter $f_{NL}$, corresponding to non-Gaussianity at a level $\sim 10^{-5}f_{NL}$ (ratio of non-Gaussian to Gaussian terms), and we find limits of $|f_{NL}|<950$ for the minimum-variance estimator and $|f_{NL}|<1650$ for the usual frequentist estimator. These are the tightest limits on primordial non-Gaussianity which include the full effects of the radiation transfer function.
Balbi Amedeo
Borrill Julian
Ferreira Pedro G.
Hanany Shaul
Heavens Alan
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