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arXiv 1012.3352hep-ph
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广义双对数大x ~(-1)近似在包含深度非弹性散射中的应用

Generalized double-logarithmic large-x resummation in inclusive deep-inelastic scattering

A. A. Almasy, G. Soar, A. Vogt

摘要:

本文给出了无质量微扰QCD中Higgs-和规范-玻色子交换DIS中结构函数的分裂函数P_qg和P_gq以及系数函数C_phi,q,C_2,g和C_L,g的最高三个大x值的全阶结果。相应的系数已通过研究未因式分解的部分子结构函数在维度正则化独立的迭代结构和施加的约束条件的功能形式的实和虚的发射贡献连同其Kinoshita-李-Nauenberg取消所需的质量因式分解定理。分裂函数的数值重算修正很小,但系数函数的数值重算修正部分很大。最高的两个(对于C_L,g为三个)图可以用最近在对主导图进行重新表示时引入的新的特殊函数表示成封闭形式

英文摘要:

We present all-order results for the highest three large-x logarithms of the splitting functions P_qg and P_gq and of the coefficient functions C_phi,q, C_2,g and C_L,g for structure functions in Higgs- and gauge-boson exchange DIS in massless perturbative QCD. The corresponding coefficients have been derived by studying the unfactorized partonic structure functions in dimensional regularization independently in terms of their iterative structure and in terms of the constraints imposed by the functional forms of the real- and virtual-emission contributions together with their Kinoshita--Lee-Nauenberg cancellations required by the mass-factorization theorem. The numerical resummation corrections are small for the splitting functions, but partly very large for the coefficient functions. The highest two (three for C_L,g) logarithms can be resummed in a closed form in terms of new special functions recently introduced in the context of the resummation of the leading logarithms

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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