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arXiv · 1804.05080

Infrared Resummation for Biased Tracers in Redshift Space

Mikhail M. Ivanov·Sergey Sibiryakov
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Abstract

We incorporate the effects of redshift space distortions and non-linear bias in time-sliced perturbation theory (TSPT). This is done via a new method that allows to map cosmological correlation functions from real to redshift space. This mapping preserves a transparent infrared (IR) structure of the theory and provides us with an efficient tool to study non-linear infrared effects altering the pattern of baryon acoustic oscillations (BAO) in redshift space. We give an accurate description of the BAO by means of a systematic resummation of Feynman diagrams guided by well-defined power counting rules. This establishes IR resummation within TSPT as a robust and complete procedure and provides a consistent theoretical model for the BAO feature in the statistics of biased tracers in redshift space.

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Mikhail M. Ivanov, Sergey Sibiryakov. 2018-04-13. Infrared Resummation for Biased Tracers in Redshift Space. https://doi.org/10.1088/1475-7516%2F2018%2F07%2F053

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