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

By D. Blas, M. Garny, Mikhail Ivanov, S. Sibiryakov. 2016

188 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8d4ccc6fe6c13fabc89b718bf644e33cd664a13b

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Citations in the corpus

Limits on wCDM from the EFTofLSS with the PyBird code (2020, methodology): “An IR-resummation of the long displacement fields had to be performed in order to reproduce the BAO peak, giving rise to the so-called IR-Resummed EFTofLSS [25, 26, 27, 28, 29].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “[49, 51] is was shown that these effects are smaller than the two-loop contribution.”
Redshift-space distortions in Lagrangian perturbation theory (2020, background): “A salient feature of cosmologies like ΛCDM is that large-scale displacements produce nonlinear damping of spatially localized features in the power spectrum such as baryon acoustic oscillations (BAO) that cannot be captured simply with an order-by-order expansion in the linear initial conditions [18”
Consistent modeling of velocity statistics and redshift-space distortions in one-loop perturbation theory (2020, background): “However, in Eulerian perturbation theory results can also be resummed in order to obtain the equivalent behavior [82–85].”
The cosmological analysis of the SDSS/BOSS data from the Effective Field Theory of Large-Scale Structure (2019, background): “This has led to the so-called IR-resummed EFTofLSS [4, 24, 25, 5, 26].”
Combining full-shape and BAO analyses of galaxy power spectra: a 1.6% CMB-independent constraint on H0 (2020, background): “Introduction of infra-red resummation schemes into the EFT alleviates this problem, allowing for an accurate theoretical model into the non-linear regime [46–51].”
Cosmological parameters from the BOSS galaxy power spectrum (2019, methodology): “[28, 30], which was developed in the context of time-sliced perturbation theory [93].”
The Hubble tension in light of the Full-Shape analysis of Large-Scale Structure data (2020, methodology): “An IR-resummation of the long displacement fields had to be performed in order to reproduce the Baryon Acoustic Oscillation (BAO) peak, giving rise to the so-called IR-Resummed EFTofLSS [25–29].”