One-loop singular behaviour of QCD and SUSY QCD amplitudes with massive partons

被引：157

作者：

Catani, S ^{[1
]}

Dittmaier, S

Trócsányi, Z

机构：

[1] CERN, Div Theory, CH-1211 Geneva 23, Switzerland

[2] Univ Bielefeld, D-33615 Bielefeld, Germany

[3] Hungarian Acad Sci, Inst Nucl Res, H-4001 Debrecen, Hungary

[4] Univ Debrecen, H-4001 Debrecen, Hungary

来源：

PHYSICS LETTERS B | 2001年 / 500卷 / 1-2期

基金：

匈牙利科学研究基金会;

关键词：

D O I：

10.1016/S0370-2693(01)00065-X

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We discuss the structure of infrared and ultraviolet singularities in on-shell QCD and supersymmetric QCD amplitudes at one-loop order. Previous results, valid for massless partons, are extended to the case of massive partons. Using dimensional regularization, we present a general factorization formula that controls both the singular epsilon -poles and the logarithmic contributions that become singular for vanishing masses. We introduce generalized Altarelli-Parisi splitting functions and discuss their relations with the singular terms in the amplitudes. The dependence on the regularization scheme is also considered. (C) 2001 Published by Elsevier Science B.V.

引用

页码：149 / 160

页数：12