A new statistic for picking out Non-Gaussianity in the CMB

Details A new statistic for picking out Non-Gaussianity in the CMB A new statistic for picking out Non-Gaussianity in the CMB

1998-04-27

arxiv.org/abs/astro-ph/9804283v2

Mon.Not.Roy.Astron.Soc.302:131-138,1999

Astronomy and Astrophysics

Astrophysics

8 pages, 14 figures Corrected typos

Scientific paper

10.1046/j.1365-8711.1999.02104.x

In this paper we propose a new statistic capable of detecting non-Gaussianity in the CMB. The statistic is defined in Fourier space, and therefore naturally separates angular scales. It consists of taking another Fourier transform, in angle, over the Fourier modes within a given ring of scales. Like other Fourier space statistics, our statistic outdoes more conventional methods when faced with combinations of Gaussian processes (be they noise or signal) and a non-Gaussian signal which dominates only on some scales. However, unlike previous efforts along these lines, our statistic is successful in recognizing multiple non-Gaussian patterns in a single field. We discuss various applications, in which the Gaussian component may be noise or primordial signal, and the non-Gaussian component may be a cosmic string map, or some geometrical construction mimicking, say, small scale dust maps.

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