Production of hadrons with large transverse momenta in the pionization range and vacuum singularity in QCD

The one- and double-inclusive cross sections for processes at high psub(t) have been calculated in the main log approximation for the pionization region. The different limiting cases are considered: in particular, the behaviour of cross sections at psub(t) comparable to mean transverse momentum of gluons. In this region (E/σsub(tot))((ασsup(jet))/(dyαsup(2)psub(tot))) approximately equal to (3αsub(S))/(2π(sup(2)psub(t)sup(2)). The role of double-logarithmic form factors in two-jet or two-particle production processes at large psub(tsub(1)) approximately equal to psub(tsub(2)) is analysed