The Likelihood for LSS: Stochasticity of Bias Coefficients at All Orders
  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 $\varepsilon_g$.
