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arxiv: 1605.02149 · v2 · pith:N2LIVDPJnew · submitted 2016-05-07 · 🌌 astro-ph.CO · hep-ph· hep-th

Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation

Diego Blas , Mathias Garny , Mikhail M. Ivanov , Sergey Sibiryakov This is my paper
classification 🌌 astro-ph.CO hep-phhep-th
keywords acousticbaryoneffectsinfraredleadingmatternon-linearorder
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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.

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