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One of the nicest results in cosmological perturbation theory is theanalytical resummaton of the leading corrections at large momentum, which wasobtained by Crocce and Scoccimarro for the propagator. Using an exact evolutionequation, we generalize this result, by showing that a class of next-to-leadingcorrections can also be resummed at all orders in perturbation theory. The newcorrections modify the propagator by a few percent in the Baryonic AcousticOscillation range of scales, and therefore cannot be neglected in resummationschemes aiming at an accuracy compatible with future generation galaxy surveys.Similar tools can be employed to derive improved approximations for the PowerSpectrum.

Next-to-leading resummations in cosmological perturbation theory