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The Three-Dimensional Power Spectrum Measured from 2MASS

B. Allgood·G. Blumenthal·J. R. Primack
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Abstract

We present the three-dimensional power spectrum of galaxy clustering using measurements of the angular correlation function from the second incremental release of the Two-Micron All Sky Survey (2MASS). The angular positions of galaxies out to a limiting magnitude of K_s <= 14.0 (508,054 galaxies) determine the correlation function. We consider a variety of estimators of the catalog's angular correlation function, and we find the Landy and Szalay (LS) estimator to be the most reliable choice. Using the LS estimator, we find that the angular correlation function takes the form of a power law with a break. The angular correlation function is then used in combination with the selection function to determine the power spectrum by inverting Limber's equation. We find good agreement with previous measurements of the power spectrum for 0.04 < k < 0.1 h Mpc^-1, and evidence for a peak in the power spectrum around k = 0.03 h Mpc^-1. For k > 0.1 h Mpc^-1 we find that the power spectrum is biased higher than other surveys, which can be understood as a color-based selection effect.

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B. Allgood, G. Blumenthal, J. R. Primack. 2001-09-23. The Three-Dimensional Power Spectrum Measured from 2MASS. https://arxiv.org/abs/astro-ph/0109403

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