Analytical result for dimensionally regularized massless on-shell double box

被引:317
作者
Smirnov, VA [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Inst Nucl Phys, Moscow 119899, Russia
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/S0370-2693(99)00777-7
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The dimensionally regularized massless on-shell double box Feynman diagram with powers of propagators equal to one is analytically evaluated for general values of the Mandelstam variables s and t. An explicit result is expressed either in terms of polylogarithms Li-a( - t/s), up to a = 4, and generalized polylogarithms S-a,S-b(- t/s), with a = 1,2 and b = 2, or in terms of these functions depending on the inverse ratio, s/t. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:397 / 404
页数:8
相关论文
共 6 条
[1]  
BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20
[2]   TABLE OF INTEGRALS AND FORMULAS FOR FEYNMAN DIAGRAM CALCULATIONS [J].
DEVOTO, A ;
DUKE, DW .
RIVISTA DEL NUOVO CIMENTO, 1984, 7 (06) :1-39
[3]   Analytic two-loop results for self-energy- and vertex-type diagrams with one non-zero mass [J].
Fleischer, J ;
Kotikov, AV ;
Veretin, OL .
NUCLEAR PHYSICS B, 1999, 547 (1-2) :343-374
[4]  
Lewin L., 1981, Polylogarithms and Associated Functions
[5]   REGULARIZATION AND RENORMALIZATION OF GAUGE FIELDS [J].
THOOFT, G ;
VELTMAN, M .
NUCLEAR PHYSICS B, 1972, B-44 (01) :189-+
[6]   AN APPROACH TO THE EVALUATION OF 3-POINT AND 4-POINT LADDER DIAGRAMS [J].
USSYUKINA, NI ;
DAVYDYCHEV, AI .
PHYSICS LETTERS B, 1993, 298 (3-4) :363-370