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The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders

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arxiv 2004.00617 v3 pith:K2B66MBX submitted 2020-04-01 astro-ph.CO astro-ph.GA

classification astro-ph.COastro-ph.GA
keywords deltafieldlikelihoodbiasconditionalexactlygaussiannoise
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abstract

In the EFT of biased tracers the noise field $\varepsilon_g$ is not exactly uncorrelated with the nonlinear matter field $\delta$. Its correlation with $\delta$ 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 ${\cal P}[\delta_g|\delta]$ to observe a galaxy field $\delta_g$ given an underlying $\delta$. 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 $\varepsilon_g$.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Gaussian Galaxy Stochasticity and the Noise-Field Formulation

    astro-ph.CO 2025-11 conditional novelty 6.0 of 10

    Galaxy stochasticity in EFT of large-scale structure reduces to nonlinear couplings of one Gaussian noise field, yielding a samplable field-level likelihood that stabilizes the inferred noise amplitude.

  2. Equivalence of the field-level inference and conventional analyses on large scales

    astro-ph.CO 2025-07 conditional novelty 6.0 of 10

    A joint power spectrum, bispectrum and trispectrum analysis achieves the same precision on the density amplitude as field-level inference for halos on large scales.

  3. Perturbative Likelihoods for Large-Scale Structure of the Universe

    astro-ph.CO 2025-05 conditional novelty 6.0 of 10

    A perturbative derivation shows that the large-scale structure likelihood is automatically expressed in terms of the tree-level power spectrum, tree-level bispectrum, and the (2,2) one-loop power spectrum correction.

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