2-LOOP 3-POINT DIAGRAMS WITH IRREDUCIBLE NUMERATORS

被引：30

作者：

USSYUKINA, NI ^{[1
]}

DAVYDYCHEV, AI ^{[1
]}

机构：

[1] UNIV BERGEN,DEPT PHYS,N-5007 BERGEN,NORWAY

来源：

PHYSICS LETTERS B | 1995年 / 348卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(95)00136-9

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the problem of calculating two-loop three-point diagrams with irreducible numerators (i.e. numerators which cannot be expressed in terms of the denominators). For the case of massless internal particles and arbitrary (off-shell) external momenta, exact results are obtained in terms of polylogarithms. We also consider the tenser decomposition of two-loop three-point diagrams, and show how it is connected with irreducible numerators.

引用

收藏

页码：503 / 512

页数：10

相关论文

共 43 条

[1] ANALYTIC PROPERTIES OF THE VERTEX FUNCTION IN GAUGE-THEORIES .1. [J].

BALL, JS ;

CHIU, TW .

PHYSICAL REVIEW D, 1980, 22 (10) :2542-2549

[2]

BALL JS, 1980, PHYS REV D, V22, P2550, DOI 10.1103/PhysRevD.22.2550

[3] CALCULATION OF LADDER DIAGRAMS IN ARBITRARY ORDER [J].

BELOKUROV, VV ;

USSYUKINA, NI .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2811-2816

[4] ON THE NUMERICAL EVALUATION OF SCALAR 2-LOOP SELF-ENERGY DIAGRAMS [J].

BERENDS, FA ;

TAUSK, JB .

NUCLEAR PHYSICS B, 1994, 421 (02) :456-470

[5]

BERENDS FA, IN PRESS NUCL PHYS B

[6] DIMENSIONALLY REGULATED ONE-LOOP INTEGRALS [J].

BERN, Z ;

DIXON, L ;

KOSOWER, DA .

PHYSICS LETTERS B, 1993, 302 (2-3) :299-308

[7] DIMENSIONALLY-REGULATED PENTAGON INTEGRALS [J].

BERN, Z ;

DIXON, L ;

KOSOWER, DA .

NUCLEAR PHYSICS B, 1994, 412 (03) :751-816

[8]

BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20

[9] RADIATIVE CORRECTIONS TO COMPTON SCATTERING [J].

BROWN, LM ;

FEYNMAN, RP .

PHYSICAL REVIEW, 1952, 85 (02) :231-244

[10] NEW APPROACH TO EVALUATION OF MULTI-LOOP FEYNMAN-INTEGRALS - THE GEGENBAUER POLYNOMIAL X-SPACE TECHNIQUE [J].

CHETYRKIN, KG ;

KATAEV, AL ;

TKACHOV, FV .

NUCLEAR PHYSICS B, 1980, 174 (2-3) :345-377

← 1 2 3 4 5 →