Progress on double-logarithmic large-x and small-x resummations for   (semi-)inclusive hard processes
  Over the past few years considerable progress has been made on the resummation of double-logarithmically enhanced threshold (large-x) and high-energy (small-x) higher-order contributions to the splitting functions for parton and fragmentation distributions and to the coefficient functions for inclusive deep-inelastic scattering and semi-inclusive e^+e^- annihilation. We present an overview of the methods which allow, in many cases, to derive the coefficients of the highest three logarithms at all orders in the strong coupling from next-to-next-to-leading order results in massless perturbative QCD. Some representative analytical and numerical results are shown, and the present limitations of these resummations are discussed. 
A. Vogt, C. H. Kom, N. A. Lo Presti, G. Soar (Liverpool U., Dept.   Math.), A. A. Almasy, S. Moch (DESY, Zeuthen), J. A. M. ...
hep-ph