Constant terms in threshold resummation and the quark form factor

被引：8

作者：

Friot, Samuel ^{[1
]}

Grunberg, Georges

机构：

[1] Univ Barcelona, Dept Estructura & Constituents Mat, Diagonal 647, E-08028 Barcelona, Spain

[2] CNRS, Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2007年 / 09期

关键词：

QCD; NLO computations; DISPERSIVE APPROACH; QCD; SUDAKOV; ASYMPTOTICS; DIS;

D O I：

10.1088/1126-6708/2007/09/002

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We verify to order alpha(4)(s) 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 by-product 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.

引用

页数：40

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