Abstract
We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey. We obtain the first cosmological parameter constraints from persistent homology by applying our method to the first-year data of the Dark Energy Survey. To obtain these constraints, we analyse the topological structure of the matter distribution by extracting persistence diagrams from signal-to-noise maps of aperture masses. This presents a natural extension to the widely used peak count statistics. Extracting the persistence diagrams from the cosmo-SLICS, a suite of N-body simulations with variable cosmological parameters, we interpolate the signal using Gaussian processes and marginalise over the most relevant systematic effects, including intrinsic alignments and baryonic effects. For the structure growth parameter, we find S8 = 0.747−0.031+0.025, which is in full agreement with other late-time probes. We also constrain the intrinsic alignment parameter to A = 1.54 ± 0.52, which constitutes a detection of the intrinsic alignment effect at almost 3σ. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000586111Publication status
publishedExternal links
Journal / series
Astronomy & AstrophysicsVolume
Pages / Article No.
Publisher
EDP SciencesSubject
gravitational lensing: weak; methods: data analysis; cosmological parameters; dark energyOrganisational unit
08802 - Iozzi, Alessandra (Tit.-Prof.)
02500 - Forschungsinstitut für Mathematik / Institute for Mathematical Research
More
Show all metadata