Next-to-leading resummations in cosmological perturbation theory
release_wwo2turlrvde3p7azqolwmdbxq
by
Stefano Anselmi,
Sabino Matarrese,
Massimo Pietroni
2010
Abstract
One of the nicest results in cosmological perturbation theory is the
analytical resummaton of the leading corrections at large momentum, which was
obtained by Crocce and Scoccimarro for the propagator. Using an exact evolution
equation, we generalize this result, by showing that a class of next-to-leading
corrections can also be resummed at all orders in perturbation theory. The new
corrections modify the propagator by a few percent in the Baryonic Acoustic
Oscillation range of scales, and therefore cannot be neglected in resummation
schemes aiming at an accuracy compatible with future generation galaxy surveys.
Similar tools can be employed to derive improved approximations for the Power
Spectrum.
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