The EFT Likelihood for Large-Scale Structure

Abstract

We derive, using functional methods and the bias expansion, the conditional likelihood for observing a specific tracer field given an underlying matter field. This likelihood is necessary for Bayesian-inference methods. If we neglect all stochastic terms apart from the ones appearing in the auto two-point function of tracers, we recover the result of Schmidt et al., 2018. We then rigorously derive the corrections to this result, such as those coming from a non-Gaussian stochasticity (which include the stochastic corrections to the tracer bispectrum) and higher-derivative terms. We discuss how these corrections can affect current applications of Bayesian inference. We comment on possible extensions to our result, with a particular eye towards primordial non-Gaussianity. This work puts on solid theoretical grounds the EFT-based approach to Bayesian forward modeling.

53 pages (36+17), 4 tables. v2: matches JCAP version. Added section to compare with Schmidt et al., 2018; added plot to show relative importance of different contributions to log-likelihood

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• Unbiased Cosmology Inference from Biased Tracers using the EFT Likelihood
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• Machine Learning for Observational Cosmology
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• Impacts of the physical data model on the forward inference of initial conditions from biased tracers
• The two-loop bispectrum of large-scale structure
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• The Power of Locality: Primordial Non-Gaussianity at the Map Level
• Cosmology inference at the field level from biased tracers in redshift-space
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• Lagrangian approach to super-sample effects on biased tracers at field level: galaxy density fields and intrinsic alignments
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• Cosmology with Persistent Homology: a Fisher Forecast
• The Renormalization Group for Large-Scale Structure: Primordial non-Gaussianities
• Field-level Reconstruction from Foreground-Contaminated 21-cm Maps
• Straightening the Ruler: Field-Level Inference of the BAO Scale with LEFTfield
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• Assembly bias in quadratic bias parameters of dark matter halos from forward modeling
• Precision calculation of the EFT likelihood with primordial non-Gaussianities
• The Manticore Project II: Bayesian digital twins of cosmic structure across the SDSS and BOSS volumes
• On the Connection between Field-Level Inference and $n$-point Correlation Functions