Bilocal light-ray operators which are Lorentz scalars, vectors or antisymme
tric tensors, and which appear in various hard QCD scattering processes, ar
e decomposed into operators of definite twist. These operators are harmonic
tensor functions and their Taylor expansion consists of (traceless) local
light-cone operators which span irreducible representations of the Lorentz
group with definite spin j and common (geometric) twist (= dimension - spin
). Some applications concerning the non-forward matrix elements of these op
erators and the generalization to conformal light-cone operators of definit
e twist is considered. The group theoretical background of the method has b
een made clear. (C) 1999 Elsevier Science B.V. All rights reserved.