On the non-linear scale of cosmological perturbation theory
On the non-linear scale of cosmological perturbation theory
On the non-linear scale of cosmological perturbation theory
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Padé ansatzGoal: improve convergence to go to %-accuracyIdea: resummation in small-k limitP small−k (k, z) = − 244π315 k 2 P lin (k, z) ×∫ ∞0dqP lin (q, z) K(σ 2 l (q, z))where <strong>the</strong> integrand kernel K is given by a series in x ≡ σ 2 l (q, z),K(x) =∞∑C L x L−1L=1Mathias Garny (DESY Hamburg / CERN)<strong>On</strong> <strong>the</strong> <strong>non</strong>-<strong>linear</strong> <strong>scale</strong> <strong>of</strong> <strong>cosmological</strong> <strong>perturbation</strong> <strong>the</strong>ory