arXiv 0911.44712009-11hep-ph

深度非弹性散射物理演化核的大x结构

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

Georges Grunberg

备注：: 12 pages; version 2: eq.(4.6) and comment below corrected (main results unchanged), section on fragmentation functions added; version 3: new results added: all-order relation in section 3.5, O(1-x) terms adressed in section 5; version 4: incorrect suggestion on Gribov-Lipatov reciprocity removed; version 5: slight extension of the version to be published in Physics Letters B, contains a discussion of O((1-x)^2) terms and added references
发表信息：: Phys.Lett.B687:405-409,2010
DOI：: 10.1016/j.physletb.2010.03.036

摘要：

本文将Dokshitzer，Marchesini和Salam的部分子分布的修正演化方程推广到非单线态深度非弹性散射系数函数和控制其标度破坏的物理演化核。考虑到x>1的极限，我们发现在任何循环阶上，对物理核的次程函对数贡献都可以用单循环尖点反常维数来表示，这个结果可以推广到（1-x）中的所有阶，并且迄今为止还没有得到阈值重算。类似的结果表明，持有半包容的e+ e-湮没的碎裂功能。Gribov-Lipatov关系被发现是由修改后的物理演化核的领导对数部分满足。

英文摘要：

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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