Fisher forecasts for primordial non-Gaussianity from persistent homology

Matteo Biagetti, Juan Calles, Lina Castiblanco, Alex Cole, Jorge Noreña

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6 Scopus citations


We study the information content of summary statistics built from the multi-scale topology of large-scale structures on primordial non-Gaussianity of the local and equilateral type. We use halo catalogs generated from numerical N-body simulations of the Universe on large scales as a proxy for observed galaxies. Besides calculating the Fisher matrix for halos in real space, we also check more realistic scenarios in redshift space. Without needing to take a distant observer approximation, we place the observer on a corner of the box. We also add redshift errors mimicking spectroscopic and photometric samples. We perform several tests to assess the reliability of our Fisher matrix, including the Gaussianity of our summary statistics and convergence. We find that the marginalized 1-σ uncertainties in redshift space are Δf NLloc ∼ 16 and Δf NLequi ∼ 41 on a survey volume of 1 (Gpc/h)3. These constraints are weakly affected by redshift errors. We close by speculating as to how this approach can be made robust against small-scale uncertainties by exploiting (non)locality.

Original languageEnglish
Article number002
JournalJournal of Cosmology and Astroparticle Physics
Issue number10
StatePublished - 1 Oct 2022


  • cosmic web
  • cosmological simulations
  • galaxy clustering
  • physics of the early universe


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