Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation

, , and

Published 19 July 2016 © 2016 IOP Publishing Ltd and Sissa Medialab srl
, , Citation Diego Blas et al JCAP07(2016)028 DOI 10.1088/1475-7516/2016/07/028

1475-7516/2016/07/028

Abstract

We use time-sliced perturbation theory (TSPT) to give an accurate description of the infrared non-linear effects affecting the baryonic acoustic oscillations (BAO) present in the distribution of matter at very large scales. In TSPT this can be done via a systematic resummation that has a simple diagrammatic representation and does not involve uncontrollable approximations. We discuss the power counting rules and derive explicit expressions for the resummed matter power spectrum up to next-to leading order and the bispectrum at the leading order. The two-point correlation function agrees well with N-body data at BAO scales. The systematic approach also allows to reliably assess the shift of the baryon acoustic peak due to non-linear effects.

Export citation and abstract BibTeX RIS

10.1088/1475-7516/2016/07/028