Persistent homology in cosmic shear

Authors:
  • SHSven Heydenreich
    Sven Heydenreich
  • BBBenjamin Brück
    Benjamin Brück
  • PBPierre Burger
    Pierre Burger
  • JHJoachim Harnois-Déraps
    Joachim Harnois-Déraps
  • SUSandra Unruh
    Sandra Unruh
  • TCTiago Castro
    Tiago Castro
  • KDKlaus Dolag
    Klaus Dolag
  • NMNicolas Martinet
    Nicolas Martinet
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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 ofN-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 findS8 = 0.747−0.031+0.025, which is in full agreement with other late-time probes. We also constrain the intrinsic alignment parameter toA = 1.54 ± 0.52, which constitutes a detection of the intrinsic alignment effect at almost 3σ.

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