The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise - Faculté des Sciences de Sorbonne Université Access content directly
Journal Articles Monthly Notices of the Royal Astronomical Society Year : 2022

The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise

Oliver Friedrich
  • Function : Author
Anik Halder
  • Function : Author
Cora Uhlemann
  • Function : Author
Dylan Britt
  • Function : Author
Sandrine Codis
Daniel Gruen
Changhoon Hahn
  • Function : Author

Abstract

We study the connection of matter density and its tracers from the probability density function (PDF) perspective. One aspect of this connection is the conditional expectation value 〈δ_tracer|δ_m〉 when averaging both tracer and matter density over some scale. We present a new way to incorporate a Lagrangian bias expansion of this expectation value into standard frameworks for modelling the PDF of density fluctuations and counts-in-cells statistics. Using N-body simulations and mock galaxy catalogues we confirm the accuracy of this expansion and compare it to the more commonly used Eulerian parametrization. For haloes hosting typical luminous red galaxies, the Lagrangian model provides a significantly better description of 〈δ_tracer|δ_m〉 at second order in perturbations. A second aspect of the matter-tracer connection is shot-noise, i.e. the scatter of tracer density around 〈δ_tracer|δ_m〉. It is well known that this noise can be significantly non-Poissonian and we validate the performance of a more general, two-parameter shot-noise model for different tracers and simulations. Both parts of our analysis are meant to pave the way for forthcoming applications to survey data.
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Dates and versions

hal-03312486 , version 1 (24-03-2023)

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Oliver Friedrich, Anik Halder, Aoife Boyle, Cora Uhlemann, Dylan Britt, et al.. The PDF perspective on the tracer-matter connection: Lagrangian bias and non-Poissonian shot noise. Monthly Notices of the Royal Astronomical Society, 2022, 510 (4), pp.5069-5087. ⟨10.1093/mnras/stab3703⟩. ⟨hal-03312486⟩
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