  We investigate the longitudinal and transverse polarized cross-sections of
the leptoproduction of the rho meson in the high energy limit. Our model is
based on the computation of the impact factor gamma*(lambda_gamma) ->
rho(lambda_rho) using the twist expansion in the forward limit and expressed in
the impact parameter space. This treatment involves in the final stage the
twist 2 and twist 3 distribution amplitudes (DAs) of the rho meson and the
dipole scattering amplitude. Taking models that exist for the DAs and for the
dipole cross-section, we get a phenomenological model for the helicity
amplitudes, we compare our predictions with HERA data and get a fairly good
description for large enough virtualities of the photon.
