English

Accurate Baryon Acoustic Oscillations reconstruction via semi-discrete optimal transport

Cosmology and Nongalactic Astrophysics 2022-06-01 v3 Instrumentation and Methods for Astrophysics Numerical Analysis Analysis of PDEs Numerical Analysis Computational Physics

Abstract

Optimal transport theory has recently reemerged as a vastly resourceful field of mathematics with elegant applications across physics and computer science. Harnessing methods from geometry processing, we report on the efficient implementation for a specific problem in cosmology -- the reconstruction of the linear density field from low redshifts, in particular the recovery of the Baryonic Acoustic Oscillation (BAO) scale. We demonstrate our algorithm's accuracy by retrieving the BAO scale in noise-less cosmological simulations that are dedicated to cancel cosmic variance; we find uncertainties to be reduced by a factor of 4.3 compared with performing no reconstruction, and a factor of 3.1 compared with standard reconstruction.

Keywords

Cite

@article{arxiv.2110.08868,
  title  = {Accurate Baryon Acoustic Oscillations reconstruction via semi-discrete optimal transport},
  author = {Sebastian von Hausegger and Bruno Lévy and Roya Mohayaee},
  journal= {arXiv preprint arXiv:2110.08868},
  year   = {2022}
}

Comments

Accepted for publication in PRL. 7 pages incl. references; 2 figures; 1 table. v1 initial submission. v2 fixed affiliation. v3 matches published version, but larger figures