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

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 diag...

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Bibliographic Details
Published in:Journal of cosmology and astroparticle physics 2016-07, Vol.2016 (7), p.28-28
Main Authors: Blas, Diego, Garny, Mathias, Ivanov, Mikhail M., Sibiryakov, Sergey
Format: Article
Language:English
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Summary: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.
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2016/07/028