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arXiv 1005.5684hep-ph
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超越先导程函水平的阈值重建

Threshold resummation beyond leading eikonal level

Georges Grunberg

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x>1的极限,发现在任何圈阶下,动量空间物理核的次程函对数贡献都可以用一圈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.类似的结果也适用于半包含e^{+}e^{-}湮灭中的碎裂函数。该方法不适用于亚导次程函函数,但在F_1和F_T结构和碎裂函数的特殊情况下,暗示了潜在的Gribov-Lipatov关系的可能存在。

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 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 F_1 and F_T structure and fragmentation functions, there are hints of the possible existence of an underlying Gribov-Lipatov like relation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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