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2019

Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory

Wadekar, Digvijay, Scoccimarro, Roman

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We compute the covariance of the galaxy power spectrum multipoles in perturbation theory, including the effects of nonlinear evolution, nonlinear and nonlocal bias, radial redshift-space distortions, arbitrary survey window and shot noise.

We rewrite the power spectrum FKP estimator in terms of the usual windowed galaxy fluctuations and the fluctuations in the number of galaxies inside the survey volume.
We show that this leads to a stronger super-sample covariance than assumed in the literature and causes a substantial leakage of Gaussian information.
We decompose the covariance matrix into several contributions that provide an insight into its behavior for different biased tracers.

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