Nonlinear perturbation theory with halo bias and redshift-space distortions via the Lagrangian picture

Understand

The nonlinear perturbation theory of gravitational instability is extended to include effects of both biasing and redshift-space distortions, which are inevitable in predicting observable quantities in galaxy surveys.

• The precise determination of scales of baryon acoustic oscillations is crucial to investigate the nature of dark energy by galaxy surveys.
• We find that a local Lagrangian bias and redshift-space distortions are naturally incorporated in our formalism of perturbation theory with a resummation technique via the Lagrangian picture.
• Our formalism is applicable to any biasing scheme which is local in Lagrangian space, including the halo bias as a special case.