Cosmology inference from a biased density field using the EFT-based likelihood

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Published 10 January 2020 © 2020 IOP Publishing Ltd and Sissa Medialab
, , Citation Franz Elsner et al JCAP01(2020)029 DOI 10.1088/1475-7516/2020/01/029

1475-7516/2020/01/029

Abstract

The effective-field-theory (EFT) approach to the clustering of galaxies and other biased tracers allows for an isolation of the cosmological information that is protected by symmetries, in particular the equivalence principle, and thus is robust to the complicated dynamics of dark matter, gas, and stars on small scales. All existing implementations proceed by making predictions for the lowest-order n-point functions of biased tracers, as well as their covariance, and comparing with measurements. Recently, we presented an EFT-based expression for the conditional probability of the density field of a biased tracer given the matter density field, which in principle uses information from arbitrarily high order n-point functions. Here, we report results based on this likelihood by applying it to halo catalogs in real space, specifically an inference of the power spectrum normalization σ8. We include bias terms up to second order as well as the leading higher-derivative term. For a cutoff value of Λ = 0.1 hMpc−1, we recover the ground-truth value of σ8 to within 95% CL for different halo samples and redshifts. We discuss possible sources for the remaining systematic bias in σ8 as well as future developments.

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10.1088/1475-7516/2020/01/029