Abstract
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 of 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 allow 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.
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