The non-linear redshift space probability distribution function in models with local primordial non-Gaussianity

Lam, Tsz Yan ; Desjacques, Vincent ; Sheth, Ravi K.

In: Monthly Notices of the Royal Astronomical Society, 2010, vol. 402, no. 4, p. 2397-2402

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    Summary
    We use the ellipsoidal collapse approximation to investigate the non-linear redshift space evolution of the density field with primordial non-Gaussianity of the local fnl-type. We utilize the joint distribution of eigenvalues of the initial non-Gaussian shear field and evaluate the evolved redshift space probability distribution function (PDF). It is shown that, similar to the real space analysis, the underdense tail of the non-linear redshift space PDF differs significantly from that for Gaussian initial conditions. We also derive the lowest order correction of the Kaiser's formula in the presence of a non-zero fnl