Conformal symmetry on the light cone and nonleading twist distribution amplitudes of massive vector meson

A complete set of asymptotic three particle light cone distribution amplitudes of twist 3 and 4 for a transversely polarized massive vector meson built out of massless current quarks is constructed. The method used is based on a modified conformal projectors technique which allows to handle kinematical corrections due to a finite hadron mass. Consequences of our finding for the are discussed. Our results may imply a breakdown of OPE for some exclusive processes beyond the leading twist level