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- W2000539178 abstract "Statistical isotropy of primordial perturbations is a common assumption in cosmology, but it is an assumption that should be tested. To this end, we develop cosmic microwave background statistics for a primordial power spectrum that depends on the direction, as well as the magnitude, of the Fourier wave vector. We first consider a simple estimator that searches in a model-independent way for anisotropy in the square of the temperature (and/or polarization) fluctuation. We then construct the minimum-variance estimators for the coefficients of a spherical-harmonic expansion of the directional dependence of the primordial power spectrum. To illustrate, we apply these statistics to an inflation model with a quadrupole dependence of the primordial power spectrum on direction and find that a power quadrupole as small as 2.0% can be detected with the Planck satellite." @default.
- W2000539178 created "2016-06-24" @default.
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- W2000539178 date "2007-11-21" @default.
- W2000539178 modified "2023-09-27" @default.
- W2000539178 title "Cosmic microwave background statistics for a direction-dependent primordial power spectrum" @default.
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- W2000539178 doi "https://doi.org/10.1103/physrevd.76.103529" @default.
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