Infrared singularities of QCD amplitudes with massive partons

被引：150

作者：

Becher, Thomas ^{[1
]}

Neubert, Matthias ^{[2
]}

机构：

[1] Fermilab Natl Accelerator Lab, Batavia, IL 60510 USA

[2] Johannes Gutenberg Univ Mainz, THEP, Inst Phys, D-55099 Mainz, Germany

来源：

PHYSICAL REVIEW D | 2009年 / 79卷 / 12期

关键词：

HEAVY-QUARK PRODUCTION; JET CROSS-SECTIONS; FORM-FACTORS; DIPOLE FORMALISM; BEHAVIOR; RENORMALIZATION; 2-LOOPS; LOOPS;

D O I：

10.1103/PhysRevD.79.125004

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a renormalization-group equation, and factorization constraints on the relevant anomalous-dimension matrix are analyzed. The simplicity of the structure of the matrix relevant for massless partons does not carry over to the case with massive legs, where starting at two-loop order new color and momentum structures arise, which are not of the color-dipole form. The resulting two-loop three-parton correlations can be expressed in terms of two functions, for which some general properties are derived. This explains observations recently made by Mitov et al. in terms of symmetry arguments.

引用

页数：8

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