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We analyze the iterative structure of unfactorized partonic structurefunctions in the large-x limit, and derive all-order expressions for theleading-logarithmic off-diagonal splitting functions P_gq and P_qg and thecorresponding coefficient functions C_phi,q and C_2,g in Higgs- and gauge-bosonexchange deep-inelastic scattering. The splitting functions are given in termsof a new function not encountered in perturbative QCD so far, and vanishmaximally in the supersymmetric limit C_A - C_F to 0. The coefficient functionsdo not vanish in this limit, and are given by simple expressions in terms ofthe above new function and the well-known leading-logarithmic thresholdexponential. Our results also apply to the evolution of fragmentation functionsand semi-inclusive e^+ e^- annihilation.

Leading logarithmic large-x resummation of off-diagonal splitting functions and coefficient functions