A variation of the QCD parton model is proposed in which the partons are identified with nearly degenerate quark-gluon states. This relies only on the Kinoshita-Lee-Nauenberg theorem to cancel infrared singularities. In deep-inelastic scattering, incoming quark states are replaced by degenerate ‘‘jet’’ states and the Bjorken x variable is reinterpreted to be the momentum fraction of a ‘‘jet’’ in a hadron. Calculations of the full O(${\alpha }_s$) corrections are then done for the nonsinglet structure functions and for the associated nonsinglet operator matrix elements. In both quantities, the soft infrared singularities cancel and the collinear singularities cancel. Thus the proposal has been implemented. By the operator-product expansion the associated coefficient function is obtained and it is the usual one.

• Received 9 May 1985

DOI:https://doi.org/10.1103/PhysRevD.32.2385