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arXiv · 1605.02149

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

Diego Blas·Mathias Garny·Mikhail M. Ivanov·Sergey Sibiryakov
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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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Diego Blas, Mathias Garny, Mikhail M. Ivanov, Sergey Sibiryakov. 2016-07-19. Time-Sliced Perturbation Theory II: Baryon Acoustic Oscillations and Infrared Resummation. https://doi.org/10.1088/1475-7516%2F2016%2F07%2F028

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