Recurrence relations for three-loop prototypes of bubble diagrams with a mass

被引：65

作者：

Avdeev, LV

机构：

[1] Bogoliubov Lab. of Theor. Physics, Joint Institute for Nuclear Research, Dubna

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1996年 / 98卷 / 1-2期

关键词：

recurrence relations; massive Feynmann integrals; analytical evaluation of 3-loop radiative corrections; FEYNMAN DIAGRAMS; RHO-PARAMETER; RENORMALIZATION; INTEGRATION;

D O I：

10.1016/0010-4655(96)00090-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Recurrence relations derived via the Chetyrkin-Tkachov method of integration by parts are applied to reduce scalar three-loop bubble (vacuum) diagrams with a mass to a limited number of master integrals. The reduction is implemented as a package of computer programs for analytic evaluation in FORM. The algorithms are applicable to diagrams with any integer powers on the lines in an arbitrary dimension. A physical application is the evaluation of the three-loop QCD correction to the electroweak rho parameter.

引用

页码：15 / 19

页数：5

共 13 条

[1] O(ALPHA-ALPHA(S)(2)) CORRECTION TO THE ELECTROWEAK RHO-PARAMETER
AVDEEV, L
FLEISCHER, J
MIKHAILOV, S
TARASOV, O
[J]. PHYSICS LETTERS B, 1994, 336 (3-4) : 560 - 566
[2] AVDEEV L, 1995, PHYS LETT B, V349, P597
[3] 3-LOOP ON-SHELL CHARGE RENORMALIZATION WITHOUT INTEGRATION - LAMBDA-QED(MS)BAR TO 4 LOOPS
BROADHURST, DJ
[J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 54 (04): : 599 - 606
[4] 2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION
BROADHURST, DJ
FLEISCHER, J
TARASOV, OV
[J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 60 (02): : 287 - 301
[5] CORRECTIONS OF ORDER O(G(F)M(T)(2)ALPHA(2)(S)) TO THE RHO-PARAMETER
CHETYRKIN, KG
KUHN, JH
STEINHAUSER, M
[J]. PHYSICS LETTERS B, 1995, 351 (1-3) : 331 - 338
[6] INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS
CHETYRKIN, KG
TKACHOV, FV
[J]. NUCLEAR PHYSICS B, 1981, 192 (01) : 159 - 204
[7] Fleischer J., 1994, Nuclear Physics B, Proceedings Supplements, V37B, P115, DOI 10.1016/0920-5632(94)90666-1
[8] CALCULATION OF FEYNMAN DIAGRAMS FROM THEIR SMALL MOMENTUM EXPANSION
FLEISCHER, J
TARASOV, OV
[J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 64 (03): : 413 - 425
[9] DIFFERENTIAL-EQUATION METHOD - THE CALCULATION OF N-POINT FEYNMAN DIAGRAMS
KOTIKOV, AV
[J]. PHYSICS LETTERS B, 1991, 267 (01) : 123 - 127
[10] DIFFERENTIAL-EQUATIONS METHOD - THE CALCULATION OF VERTEX-TYPE FEYNMAN DIAGRAMS
KOTIKOV, AV
[J]. PHYSICS LETTERS B, 1991, 259 (03) : 314 - 322

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