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2008

Non-linear Redshift-Space Power Spectra

Shaw, J. Richard, Lewis, Antony

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Distances in cosmology are usually inferred from observed redshifts - an estimate that is dependent on the local peculiar motion - giving a distorted view of the three dimensional structure and affecting basic observables such as the correlation function and power spectrum.

We calculate the full non-linear redshift-space power spectrum for Gaussian fields, giving results for both the standard flat sky approximation and the directly-observable angular correlation function and angular power spectrum.
Coupling between large and small scale modes boosts the power on small scales when the perturbations are small.
On larger scales power is slightly suppressed by the velocities perturbations on smaller scales.

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