The two-loop QCD matrix element for e+e-→3 jets

被引:144
作者
Garland, LW [1 ]
Gehrmann, T
Glover, EWN
Koukoutsakis, A
Remiddi, E
机构
[1] Univ Durham, Dept Phys, Durham DH1 3LE, England
[2] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
[3] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy
[4] Ist Nazl Fis Nucl, Sez Bologna, I-40126 Bologna, Italy
关键词
D O I
10.1016/S0550-3213(02)00057-3
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 compute the O(alpha(s)(3)) virtual QCD corrections to the y* --> q (q) over barg matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop amplitude. The calculation is performed by reducing all loop integrals appearing in the two-loop amplitude to a small set of known master integrals. Infrared and ultraviolet divergences are both regularized using conventional dimensional regularization, and the ultraviolet renormalization is performed in the (MS) over bar scheme. The infrared pole structure of the matrix elements agrees with the prediction made by Catani using an infrared factorization formula. The analytic result for the finite terms of both matrix elements is expressed in terms of one- and two-dimensional harmonic polylogarithms. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:107 / 188
页数:82
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