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Prepared for submission to JCAPThe Gaussian streaming model andConvolution Lagrangian ef f ectivef i eld theoryZvonimir Vlah a,b Emanuele Castorina c Martin White c,da Stanford Institute for Theoretical Physics and Department of Physics, Stanford University,Stanford, CA 94306, USAb Kavli Institute for Particle Astrophysics and Cosmology, SLAC and Stanford University,Menlo Park, CA 94025, USAc Department of Physics, University of California, Berkeley, CA 94720d Department of Astronomy, University of California, Berkeley, CA 94720E-mail: zvlah@stanford.edu, ecastorina@berkeley.edu, mwhite@berkeley.eduAbstract. We update the ingredients of the Gaussian streaming model (GSM) for theredshift-space clustering of biased tracers using the techniques of Lagrangian perturbationtheory, ef f ective f i eld theory (EFT) and a generalized Lagrangian bias expansion. After relat-ing the GSM to the cumulant expansion, we present new results for the real-space correlationfunction, mean pairwise velocity and pairwise velocity dispersion including counter termsfrom EFT and bias terms through third order in the linear density, its leading derivatives andits 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 theperformance of the theory on the low order multipoles of the redshift-space correlation func-tion and power spectrum. We highlight the importance of a general biasing scheme, which wef i nd to be as important as higher-order corrections due to non-linear evolution for the haloswe consider on the scales of interest to us.Keywords: cosmological parameters from LSS – power spectrum – baryon acoustic oscilla-tions – galaxy clusteringArXiv ePrint: 1609.02908arXiv:1609.02908v2 [astro-ph.CO] 23 Nov 2016