Large-x structure of physical evolution kernels in deep inelastic scattering
Large-x structure of physical evolution kernels in deep inelastic scattering
复制标题
深度非弹性散射中物理演化核的大x结构
DOI：
10.1016/j.physletb.2010.03.036
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发表时间：
2009
影响因子：
4.4
通讯作者：
G. Grunberg
中科院分区：
文献类型：
--
作者：
G. Grunberg
Dokshitzer、Marchesini 和 Salam 的部分子分布的修正演化方程被扩展到非单重深层非弹性散射系数函数和控制其标度违规的物理演化核。考虑到 x→1 的极限，我们发现在任何循环阶数下对物理核的次对数对数贡献都可以用单循环尖点反常维数来表示，这一结果大概可以扩展到 (1−x) 中的所有阶数，并且迄今为止已经避开了阈值恢复。类似的结果也适用于半包含 e+e− 湮灭中的碎片函数。发现修改后的物理演化核的领先对数部分满足格里波夫-李帕托夫互易性。
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 reciprocity is found to be satisfied by the leading logarithmic part of the modified physical evolution kernels.