We present the redshift-space generalization of the equal-time
angular-averaged consistency relations between (ℓ+n)- and n-point
polyspectra of the cosmological matter density field. Focusing on the case of
ℓ=1 large-scale mode and n small-scale modes, we use an approximate
symmetry of the gravitational dynamics to derive explicit expressions that hold
beyond the perturbative regime, including both the large-scale Kaiser effect
and the small-scale fingers-of-god effects. We explicitly check these
relations, both perturbatively, for the lowest-order version that applies to
the bispectrum, and nonperturbatively, for all orders but for the
one-dimensional dynamics. Using a large ensemble of N-body simulations, we
find that our squeezed bispectrum relation is valid to better than 20% up to
1hMpc−1, for both the monopole and quadrupole at z=0.35, in a
ΛCDM cosmology. Additional simulations done for the Einstein-de Sitter
background suggest that these discrepancies mainly come from the breakdown of
the approximate symmetry of the gravitational dynamics. For practical
applications, we introduce a simple ansatz to estimate the new derivative terms
in the relation using only observables. Although the relation holds worse after
using this ansatz, we can still recover it within 20% up to 1hMpc−1,
at z=0.35 for the monopole. On larger scales, k=0.2hMpc−1,
it still holds within the statistical accuracy of idealized simulations of
volume ∼8h−3Gpc3 without shot-noise error.Comment: 19 pages, 4 figures. arXiv admin note: text overlap with
arXiv:1311.428