Convolution Lagrangian perturbation theory for biased tracers

Abstract

We present a new formulation of Lagrangian perturbation theory which allows\naccurate predictions of the real- and redshift-space correlation functions of\nthe mass field and dark matter halos. Our formulation involves a\nnon-perturbative resummation of Lagrangian perturbation theory and indeed can\nbe viewed as a partial resummation of the formalism of Matsubara (2008a,b) in\nwhich we keep exponentiated all of the terms which tend to a constant at large\nseparation. One of the key features of our method is that we naturally recover\nthe Zel'dovich approximation as the lowest order of our expansion for the\nmatter correlation function. We compare our results against a suite of N-body\nsimulations and obtain good agreement for the correlation functions in\nreal-space and for the monopole correlation function in redshift space. The\nagreement becomes worse for higher multipole moments of the redshift-space,\nhalo correlation function. Our formalism naturally includes non-linear bias and\nexplains the strong bias-dependence of the multipole moments of the\nredshift-space correlation function seen in N-body simulations.\n