Anomalous dimensional quark counting of hard processes in QCD

An approach to the investigation of hard jet and single particle production asymptotics in hadron collisions is proposed. In the leading order of QCD perturbation theory the anomalous dimension quark counting (a. d. q. c.) rules are derived, which determine the logarithmic corrections to the point-like power asymptotics of cross sections in terms of anomalous dimensions of the non-singlet and singlet quark and gluon operators. It is argued, that taking the quark distribution and fragmentation functions up to the two-loop order does not destroy universality of the proposed a. d. q. c. rules. Parameter-free solution for the effective power exponents of cross sections in a wide class of hard processes is obtained