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2015

Geometric Biases in Power-Spectrum Measurements

Samushia, Lado, Branchini, Enzo, Percival, Will

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The observed distribution of galaxies has local transverse isotropy around the line-of- sight (LOS) with respect to the observer.

The difference in the statistical clustering signal along and across the line-of-sight encodes important information about the ge- ometry of the Universe, its expansion rate and the rate of growth of structure within it.
Because the LOS varies across a survey, the standard Fast Fourier Transform (FFT) based methods of measuring the Anisotropic Power-Spectrum (APS) cannot be used for surveys with wide observational footprint, other than to measure the monopole moment.
We derive a simple analytic formula to quantify the bias for higher-order Legendre moments and we demonstrate that it is scale independent for a simple sur- vey model, and depends only on the observed area.

Geometric Biases in Power-Spectrum Measurements · Around

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