Large-x structure of physical evolution kernels in Deep Inelastic Scattering

Details Large-x structure of physical evolution kernels in Deep Inelastic Scattering Large-x structure of physical evolution kernels in Deep Inelastic Scattering

2009-11-23

arxiv.org/abs/0911.4471v5

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages; version 2: eq.(4.6) and comment below corrected (main results unchanged), section on fragmentation functions added;

Scientific paper

The modified evolution equation for parton distributions of Dokshitzer, Marchesini and Salam is extended to non-singlet Deep Inelastic Scattering coefficient functions and the physical evolution kernels which govern their scaling violation. Considering the x->1 limit, it is found that the leading next-to-eikonal logarithmic contributions to the physical kernels at any loop order can be expressed in term of the one-loop cusp anomalous dimension, a result which can presumably be extended to all orders in (1-x), and has eluded so far threshold resummation. Similar results are shown to hold for fragmentation functions in semi-inclusive e+ e- annihilation. Gribov-Lipatov relation is found to be satisfied by the leading logarithmic part of the modified physical evolution kernels.

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