Blas, DiegoGamy, MathiasIvanov, Mikhail M.Sibiryakov, Sergey2016-10-182016-10-182016-10-18201610.1088/1475-7516/2016/07/028https://infoscience.epfl.ch/handle/20.500.14299/129857WOS:000381830000029We 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.baryon acoustic oscillationscosmological perturbation theorygalaxy clusteringpower spectrumtext::journal::journal article::research article