Abstract
In this contribution we will discuss the non-linear effects in the baryon acoustic oscillations and present a systematic and controllable way to account for them within time-sliced perturbation theory.
Highlights
Baryon acoustic oscillations (BAO) are widely used to establish the distance-redshift relation enabling to constrain the expansion history and the composition of the Universe [1, 2]
Even though rBAO is significantly larger than the characteristic scale of non-linear clustering 2πk−N1L ∼ 20 Mpc/h, the leading correction computed in Eulerian standard perturbation theory (SPT) failed to capture the behavior seen in N-body data
At leading order the effect of bulk motions is to worsen the correlation between galaxies at separations of order rBAO, which results in the suppression of the BAO peak
Summary
Baryon acoustic oscillations (BAO) are widely used to establish the distance-redshift relation enabling to constrain the expansion history and the composition of the Universe [1, 2]. Even though rBAO is significantly larger than the characteristic scale of non-linear clustering 2πk−N1L ∼ 20 Mpc/h, the leading correction computed in Eulerian standard perturbation theory (SPT) failed to capture the behavior seen in N-body data (see Fig. 1, left panel). This disagreement is caused by large-scale bulk flows whose interaction with short modes is amplified if the distribution of matter has a feature. In this short contribution we will present a new way to systematically describe the non-linear evolution of BAO in the framework of time-sliced perturbation theory (TSPT) [9, 10]
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