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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Loop expansion <strong>of</strong> PS in <strong>the</strong> limit <strong>of</strong> small kUsing property F s 2L+1 ∝ k 2 /q 2 for k ≪ q i and q =max(q i )P L−loop → P small−kL−loop= − 244π325 k2 P lin (k, z) × C L ×∫ ∞0dqP lin (q, z) σ 2L−2l (q, z)with coeff. C L (C 1 = 1, C 2 ≃ 0.71, C 3 ≃ 1.05) and <strong>scale</strong>-dep. varianceσ 2 l (q, z) ≡ 4π∫ q0dp p 2 P lin (p, z)Mathias 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