Two real parton contributions to non - singlet kernels for exclusive QCD DGLAP evolution
It is shown that exact, amplitude-based resummation allows IR-improvement of the usual DGLAP-CS theory. This results in a new set of kernels, parton distributions and attendant reduced cross sections, so that the QCD perturbative result for the respective hadronhadron or lepton-hadron cross section is unchanged order-by-order in αs at large squaredmomentum transfers. We compare these new objects with their usual counter-parts and illustrate the effects of the IR-improvement in some phenomenological cases of interest with an eye toward precision applications in LHC physics scenarios. † Work partly supported by US DOE grant DE-FG02-05ER41399 and by NATO grant PST.CLG.980342.