Towards automatic analytic evaluation of massive Feynman diagrams

被引:16
作者
Avdeev, LV [1 ]
Fleischer, J [1 ]
Kalmykov, MY [1 ]
Tentyukov, M [1 ]
机构
[1] UNIV BIELEFELD,FAK PHYS,D-33615 BIELEFELD 1,GERMANY
基金
日本学术振兴会;
关键词
Standard Model; asymptotic expansion; anomalous magnetic moment;
D O I
10.1016/S0168-9002(97)00125-3
中图分类号
TH7 [仪器、仪表];
学科分类号
0804 ; 080401 ; 081102 ;
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 scalar particle (Higgs). The algorithm is implemented as a package of computer programs in FORM. 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.
引用
收藏
页码:343 / 346
页数:4
相关论文
共 18 条
[1]   ZERO-THRESHOLD EXPANSION OF 2-LOOP SELF-ENERGY DIAGRAMS [J].
BERENDS, FA ;
DAVYDYCHEV, AI ;
SMIRNOV, VA ;
TAUSK, JB .
NUCLEAR PHYSICS B, 1995, 439 (03) :536-560
[2]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V75, p[346, 26]
[3]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V76, P207
[4]   ELECTROWEAK FERMION-LOOP CONTRIBUTIONS TO THE MUON ANOMALOUS MAGNETIC-MOMENT [J].
CZARNECKI, A ;
KRAUSE, B ;
MARCIANO, WJ .
PHYSICAL REVIEW D, 1995, 52 (05) :R2619-R2623
[5]   Electroweak corrections to the muon anomalous magnetic moment [J].
Czarnecki, A ;
Krause, B ;
Marciano, WJ .
PHYSICAL REVIEW LETTERS, 1996, 76 (18) :3267-3270
[6]   SHELL2 - A PACKAGE FOR THE CALCULATION OF 2-LOOP ON-SHELL FEYNMAN DIAGRAMS IN FORM [J].
FLEISCHER, J ;
TARASOV, OV .
COMPUTER PHYSICS COMMUNICATIONS, 1992, 71 (1-2) :193-205
[7]   CALCULATION OF 2-LOOP VERTEX FUNCTIONS FROM THEIR SMALL MOMENTUM EXPANSION [J].
FLEISCHER, J .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1995, 6 (04) :495-501
[8]   CALCULATION OF FEYNMAN DIAGRAMS FROM THEIR SMALL MOMENTUM EXPANSION [J].
FLEISCHER, J ;
TARASOV, OV .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 64 (03) :413-425
[9]   COEFFICIENT FUNCTIONS OF ASYMPTOTIC OPERATOR EXPANSIONS IN THE MINIMAL SUBTRACTION SCHEME [J].
GORISHNY, SG ;
LARIN, SA .
NUCLEAR PHYSICS B, 1987, 283 (3-4) :452-476
[10]   FEYN ARTS - COMPUTER-ALGEBRAIC GENERATION OF FEYNMAN GRAPHS AND AMPLITUDES [J].
KUBLBECK, J ;
BOHM, M ;
DENNER, A .
COMPUTER PHYSICS COMMUNICATIONS, 1990, 60 (02) :165-180