On the non-linear scale of cosmological perturbation theory

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Result for Padé resummed small-k limit1.15Correction to Pk,z rel. to oneloopPk,zP 1loop k,z1.101.051 loop2 loop3 loopK 01padeK 02padeK 11pade1.000 2 4 6 8 10redshift zblack=SPT, solid=Padé resummed resultMathias Garny (DESY Hamburg / CERN)On the non-linear scale of cosmological perturbation theory
Padé improved PTwhereP(k, z) = P lin (k, z) + P padesmall−k(k, z)+ P sub1−loop(k, z) + P sub2−loop(k, z) + P sub3−loop(k, z) + . . . ,P subL−loop(k, z) ≡ P L−loop (k, z) − P small−kL−loop (k, z)Mathias Garny (DESY Hamburg / CERN)On the non-linear scale of cosmological perturbation theory
Page 1: On the non-linear scale of cosmolog
Page 4 and 5: Standard Perturbation TheoryPoisson
Page 6 and 7: Standard Perturbation Theory100Plin
Page 8 and 9: Standard Perturbation TheoryMany ap
Page 10 and 11: Loop expansion of PS in the limit o
Page 16 and 17: Padé ansatzGoal: improve convergen
Page 20 and 21: Padé improved PT vs N-body1.4z⩵0
Page 22 and 23: ConclusionThree loop larger than on
Page 24 and 25: Expansion parameter∫ kσl 2 (k, z
Page 26 and 27: Padé improved PT vs N-body1.4z⩵0

On the non-linear scale of cosmological perturbation theory

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