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arXiv 0706.1206hep-ph
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阈重增常数项与夸克形状因子

Constant terms in threshold resummation and the quark form factor

S. Friot, G. Grunberg

摘要:

我们验证了α_s^4阶的两个先前证明的关系式,它们在四维空间中是有效的,即阈值重算中的常数项(对于深度非弹性散射和Drell-Yan过程)与无质量夸克形状因子的二阶对数导数之间的关系式。在大β_0极限中,对所有阶检查相同的关系;作为副产品,获得形状因子的色散表示。利用这些关系式,可以对称地计算三圈重算系数B_3和D_3,它们与三圈对虚对角分裂函数和夸克形状因子的贡献有关,证实了文献中的结果。

英文摘要:

We verify to order alpha_s^4 two previously conjectured relations, valid in four dimensions, between constant terms in threshold resummation (for Deep Inelastic Scattering and the Drell-Yan process) and the second logarithmic derivative of the massless quark form factor. The same relations are checked to all orders in the large beta_0 limit; as a byproduct a dispersive representation of the form factor is obtained. These relations allow to compute in a symmetrical way the three-loop resummation coefficients B_3 and D_3 in terms of the three-loop contributions to the virtual diagonal splitting function and to the quark form factor, confirming results obtained in the literature.

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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