  We obtain a generalization of the Low theorem for non-Abelian boson emission
in collision of scalar and gauge vector particles and its extension to high
energy collisions for small transverse momenta of produced particles. We
demonstrate that in the case of particles with spin the direct extension the
Low formula to high energy is in contradiction with the correct amplitude
factorization behavior. Consideration of different kinematical regions and use
of methods of dual models allows us to separate contributions of intermediate
excited states and standard spin corrections in the Low formulae. We show that
the amplitude factorization occurs at high energy due to the contribution of
the intermediate states which is additional to the gluon production amplitude
for the scalar particle collision.
