Footprints of Statistical Anisotropies

Details Footprints of Statistical Anisotropies Footprints of Statistical Anisotropies

2005-09-29

arxiv.org/abs/astro-ph/0509893v1

JCAP 0603:002,2006

Astronomy and Astrophysics

Astrophysics

26 pages, 5 double figures. Uses RevTeX4

Scientific paper

10.1088/1475-7516/2006/03/002

We propose and develop a formalism to describe and constrain statistically anisotropic primordial perturbations. Starting from a decomposition of the primordial power spectrum in spherical harmonics, we find how the temperature fluctuations observed in the CMB sky are directly related to the coefficients in this harmonic expansion. Although the angular power spectrum does not discriminate between statistically isotropic and anisotropic perturbations, it is possible to define analogous quadratic estimators that are direct measures of statistical anisotropy. As a simple illustration of our formalism we test for the existence of a preferred direction in the primordial perturbations using full-sky CMB maps. We do not find significant evidence supporting the existence of a dipole component in the primordial spectrum.

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