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

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Diego Blas, Mathias Garny, Mikhail M. Ivanov, Sergey Sibiryakov

Original languageEnglish
Article number028
JournalJournal of Cosmology and Astroparticle Physics
Volume2016
Early online date19 Jul 2016
DOIs
Accepted/In press10 Jul 2016
E-pub ahead of print19 Jul 2016
PublishedJul 2016

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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.

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