Accurate Baryon Acoustic Oscillations Reconstruction via

Optimal transport theory has recently re-emerged 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 noiseless 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.

Automated summary

Optimal transport theory has emerged as a resourceful field of mathematics with applications in physics and computer science. In this study, we present an efficient implementation for reconstructing the linear density field in cosmology, specifically targeting the recovery of the baryonic acoustic oscillation (BAO) scale. Our algorithm demonstrates improved accuracy in noiseless cosmological simulations, reducing uncertainties by a factor of 4.3 compared to no reconstruction and 3.1 compared to standard reconstruction.