Towards automatic analytic evaluation of diagrams with masses

被引:17
作者
Avdeev, LV [1 ]
Fleischer, J [1 ]
Kalmykov, MY [1 ]
Tentyukov, MN [1 ]
机构
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Moscow Region, Russia
关键词
standard model; Feynman diagram; recurrence relations; anomalous magnetic moment;
D O I
10.1016/S0010-4655(97)00112-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A method to calculate two-loop self-energy diagrams of the Standard Model is demonstrated. A direct physical application is the calculation of the two-loop electroweak contribution to the anomalous magnetic moment of the muon 1/2(g - 2)(mu). Presently, we confine ourselves to a "toy" model with only mu, gamma and a heavy neutral scalar particle (Higgs). The algorithm is implemented as a FORM-based program package, For generating and automatically evaluating any number of two-loop self-energy diagrams, a special C program has been written. This program creates the initial FORM-expression for every diagram generated by QGRAF, executes the corresponding subroutines and sums up the final results. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:155 / 166
页数:12
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