Equivalence Principle and the Baryon Acoustic Peak

By T. Baldauf, Mehrdad Mirbabayi, M. Simonovi'c, M. Zaldarriaga. 2015

161 citations recorded by the source corpus.

We study the dominant effect of a long wavelength density perturbation $\delta(\lambda_L)$ on short distance physics. In the non-relativistic limit, the result is a uniform acceleration, fixed by the equivalence principle, and typically has no effect on statistical averages due to translational invariance. This same reasoning has been formalized to obtain a "consistency condition" on the cosmological correlation functions. In the presence of a feature, such as the acoustic peak at $l_{\rm BAO}$, this naive expectation breaks down for $\lambda_L<l_{\rm BAO}$. We calculate a universal piece of the three-point correlation function in this regime. The same effect is shown to underlie the spread of the acoustic peak, and is calculable to all orders in the long modes. This can be used to improve the result of perturbative calculations - a technique known as "infra-red resummation" - and is explicitly applied to the one-loop calculation of power spectrum. Finally, the success of BAO reconstruction schemes is argued to be another empirical evidence for the validity of the results.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/601e4fc211b805c3a8841ef10ea9e15b58620ad9

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Citations in the corpus

Cosmological parameters from the BOSS galaxy power spectrum (2019, methodology): “in a number of works within different but equivalent perturbation theory schemes and in various approximations [25–31].”
Efficient 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, 5, 24–26].”
Time-sliced perturbation theory II: baryon acoustic oscillations and infrared resummation (2016, methodology): “3) coincides with the results of [8] when choosing kS = k/2.”
Biased Tracers in Redshift Space in the EFT of Large-Scale Structure (2016, background): “years the Effective Field Theory of Large-Scale Structure 1 (EFTofLSS) [2, 3, 4, 5] has provided a tool where predictions in the mildly non-linear regime can be delivered with an at-least-in-principle arbitrary theoretical precision, and most probably with a precision that should be enough for next ”
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].”
Redshift-space distortions in Lagrangian perturbation theory (2020, background): “More generally, IR resummation has also been extensively studied in the Eulerian context [42, 43, 46, 91, 92].”
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].”
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].”
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].”
Nonlinear perturbation theory extension of the Boltzmann code CLASS (2020, background): “30) to the output, giving [46]”
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].”