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

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

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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.
Original languageEnglish
Article number028
JournalJournal of Cosmology and Astroparticle Physics
Early online date19 Jul 2016
Publication statusPublished - Jul 2016


  • Astrophysics - Cosmology and Nongalactic Astrophysics, High Energy Physics - Phenomenology, High Energy Physics - Theory


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