An n-th order Lagrangian forward model for large-scale structure

Abstract A forward model of matter and biased tracers at arbitrary order in Lagrangian perturbation theory (LPT) is presented. The contains the complete LPT displacement field any given perturbations, as well all relevant bias operators that leading derivatives. construction done for expansion history does not rely on Einstein-de Sitter approximation. large subset higher-derivative also included. As validation test, we compare nLPT-predicted density from N-body simulations using same initial conditions. For a cutoff conditions, find subpercent agreement up to scales k ? 0.2 h -1 Mpc. We with full without cutoff, both power spectrum nonlinear ? 8 -inference, when allowing effective sound speed. application (halos) has already been presented recent paper [1].