Threshold resummation beyond leading eikonal level
Threshold resummation beyond leading eikonal level
复制标题
阈值恢复超出领先的 eikonal 水平
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
G. Grunberg
中科院分区：
文献类型：
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作者：
G. Grunberg
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 momentum space 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). Similar results hold for fragmentation functions in semi-inclusive e+e− annihilation. The method does not work for subleading next-to-eikonal logarithms, but, in the special case of the F1 and FT structure and fragmentation functions, there are hints of the possible existence of an underlying Gribov-Lipatov like relation.
