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In the EFT of biased tracers the noise field $\varepsilon_g$ is not exactlyuncorrelated with the nonlinear matter field $\delta$. Its correlation with$\delta$ is effectively captured by adding stochasticities to each biascoefficient. We show that if these stochastic fields are Gaussian (the impactof their non-Gaussianity being subleading on quasi-linear scales anyway) it ispossible to resum exactly their effect on the conditional likelihood ${\calP}[\delta_g|\delta]$ to observe a galaxy field $\delta_g$ given an underlying$\delta$. This resummation allows to take them into account in EFT-basedapproaches to Bayesian forward modeling. We stress that the resultingcorrections to a purely Gaussian conditional likelihood with white-noisecovariance are the most relevant on scales where the EFT is under control: theyare more important than any non-Gaussianity of the noise $\varepsilon_g$.

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