Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation

Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
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QCD 中小 x 双对数的恢复:半包含电子-正电子湮灭

DOI:
10.1007/jhep10(2011)025
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发表时间:
2011
影响因子:
5.4
通讯作者:
A. Vogt
A. Vogt
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Vogt

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我们导出了无质量微扰QCD中所有类时分裂函数的最高三个1/x-增强小-x谱的系数和包含一个粒子的e+e-湮灭中所有阶(原则上)的横向碎裂函数的系数函数。对于纵向碎裂函数,我们提出了各自的两个最高的贡献。这些结果已经得到了从KLN相关的分解的未因式分解的碎裂功能在维正则化和它们的结构所施加的质量因式分解定理。的remation被发现完全消除了巨大的小x尖峰存在于固定的顺序的结果,允许稳定的结果下降到非常小的值的动量分数和缩放变量x。我们的计算可以(至少)扩展到对应的α snln 2n − x对上述量的贡献以及它们在深度非弹性散射中的对应物。
We have derived the coefficients of the highest three1/x-enhanced small-x logarithms of all timelike splitting functions and the coefficient functions for the transverse fragmentation function in one-particle inclusive e+e− annihilation at (in principle) all orders in massless perturbative QCD. For the longitudinal fragmentation function we present the respective two highest contributions. These results have been obtained from KLN-related decompositions of the unfactorized fragmentation functions in dimensional regularization and their structure imposed by the mass-factorization theorem. The resummation is found to completely remove the huge small-x spikes present in the fixed-order results, allowing for stable results down to very small values of the momentum fraction and scaling variable x. Our calculations can be extended to (at least) the corresponding αsnln2n−ℓx contributions to the above quantities and their counterparts in deep-inelastic scattering.
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DOI: 10.1016/j.cpc.2010.04.009
发表时间: 2010
期刊: Comput. Phys. Commun.
影响因子: --
作者:
M. Tentyukov;J. A. M. Vermaseren
通讯作者: J. A. M. Vermaseren
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期刊: NUCLEAR PHYSICS B
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包容性深度非弹性散射中的广义双对数大 x 恢复
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