THE MASTER 2-LOOP DIAGRAM WITH MASSES

被引:146
作者
BROADHURST, DJ
机构
[1] The Open University, Milton Keynes
来源
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1990年 / 47卷 / 01期
关键词
D O I
10.1007/BF01551921
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
In every mass case needed for QCD and QED two-point functions, the most difficult two-loop scalar Feynman diagram is reduced, by a systematic dispersive method, to a single integral of logarithms, whose expansion is obtained for large and, when appropriate, small momenta. The new results for the case with an intermediate state comprising three massive particles are needed for the two-loop calculation of fermion propagators. © 1990 Springer-Verlag.
引用
收藏
页码:115 / 124
页数:10
相关论文
共 28 条
[1]  
Abramowitz M., 1965, HDB MATH FUNCTIONS
[2]  
[Anonymous], 1996, TABLES INTEGRALS SER
[3]  
Broadhurst D. J., 1988, Z PHYS C, V41, P81
[4]   EVALUATION OF A CLASS OF FEYNMAN DIAGRAMS FOR ALL NUMBERS OF LOOPS AND DIMENSIONS [J].
BROADHURST, DJ .
PHYSICS LETTERS B, 1985, 164 (4-6) :356-360
[5]   EXPLOITING THE 1, 440-FOLD SYMMETRY OF THE MASTER 2-LOOP DIAGRAM [J].
BROADHURST, DJ .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1986, 32 (02) :249-253
[6]   CHIRAL SYMMETRY-BREAKING AND PERTURBATIVE QCD [J].
BROADHURST, DJ .
PHYSICS LETTERS B, 1981, 101 (06) :423-426
[7]  
BROADHURST DJ, 1984, OUT410212 OP U REP
[8]  
BROADHURST DJ, 1985, OUT410218 OP U REP
[9]   INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS [J].
CHETYRKIN, KG ;
TKACHOV, FV .
NUCLEAR PHYSICS B, 1981, 192 (01) :159-204
[10]  
GENERALIS SC, 1985, PHYS LETT B, V165, P175