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  The likelihood for LSS: stochasticity of bias coefficients at all orders

Cabass, G., & Schmidt, F. (2020). The likelihood for LSS: stochasticity of bias coefficients at all orders. Journal of Cosmology and Astroparticle Physics, 2020(7): 051. doi:10.1088/1475-7516/2020/07/051.

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The likelihood for LSS stochasticity of bias coefficients at all orders.pdf (Any fulltext), 887KB
 
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Cabass, Giovanni1, Author              
Schmidt, Fabian1, Author              
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1Physical Cosmology, MPI for Astrophysics, Max Planck Society, ou_2205644              

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 Abstract: In the EFT of biased tracers the noise field εg is not exactly uncorrelated with the nonlinear matter field δ. Its correlation with δ is effectively captured by adding stochasticities to each bias coefficient. We show that if these stochastic fields are Gaussian (the impact of their non-Gaussianity being subleading on quasi-linear scales anyway) it is possible to resum exactly their effect on the conditional likelihood P[δg|δ] to observe a galaxy field δg given an underlying δ. This resummation allows to take them into account in EFT-based approaches to Bayesian forward modeling. We stress that the resulting corrections to a purely Gaussian conditional likelihood with white-noise covariance are the most relevant on scales where the EFT is under control: they are more important than any non-Gaussianity of the noise εg.

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Language(s): eng - English
 Dates: 2020-07-23
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1475-7516/2020/07/051
Other: LOCALID: 3256566
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Title: Journal of Cosmology and Astroparticle Physics
  Abbreviation : J. Cosmol. Astropart. Phys.
  Abbreviation : JCAP
Source Genre: Journal
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Pages: - Volume / Issue: 2020 (7) Sequence Number: 051 Start / End Page: - Identifier: ISSN: 1475-7516