  We update the ingredients of the Gaussian streaming model (GSM) for the
redshift-space clustering of biased tracers using the techniques of Lagrangian
perturbation theory, effective field theory (EFT) and a generalized Lagrangian
bias expansion. After relating the GSM to the cumulant expansion, we present
new results for the real-space correlation function, mean pairwise velocity and
pairwise velocity dispersion including counter terms from EFT and bias terms
through third order in the linear density, its leading derivatives and its
shear up to second order. We discuss the connection to the Gaussian peaks
formalism. We compare the ingredients of the GSM to a suite of large N-body
simulations, and show the performance of the theory on the low order multipoles
of the redshift-space correlation function and power spectrum. We highlight the
importance of a general biasing scheme, which we find to be as important as
higher-order corrections due to non-linear evolution for the halos we consider
on the scales of interest to us.
