Beta functions and anomalous dimensions up to three loops

被引:152
作者
Chetyrkin, K
Misiak, M
Munz, M
机构
[1] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany
[2] Univ Warsaw, Inst Theoret Phys, PL-00681 Warsaw, Poland
[3] Tech Univ Munchen, Dept Phys, D-85748 Garching, Germany
[4] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia
关键词
renormalization; multiloop calculations;
D O I
10.1016/S0550-3213(98)00122-9
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
We derive an algorithm for automatic calculation of perturbative p-functions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared rearrangement is performed by introducing a common mass parameter in all the propagator denominators. We provide a set of explicit formulae for all the necessary scalar integrals up to three loops. (C) 1998 Published by Elsevier Science B.V.
引用
收藏
页码:473 / 494
页数:22
相关论文
共 27 条
[2]   Recurrence relations for three-loop prototypes of bubble diagrams with a mass [J].
Avdeev, LV .
COMPUTER PHYSICS COMMUNICATIONS, 1996, 98 (1-2) :15-19
[3]   A METHOD OF CALCULATING MASSIVE FEYNMAN-INTEGRALS [J].
BOOS, EE ;
DAVYDYCHEV, AI .
THEORETICAL AND MATHEMATICAL PHYSICS, 1991, 89 (01) :1052-1064
[4]   3-LOOP ON-SHELL CHARGE RENORMALIZATION WITHOUT INTEGRATION - LAMBDA-QED(MS)BAR TO 4 LOOPS [J].
BROADHURST, DJ .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1992, 54 (04) :599-606
[5]   Weak radiative B-meson decay beyond leading logarithms [J].
Chetyrkin, K ;
Misiak, M ;
Munz, M .
PHYSICS LETTERS B, 1997, 400 (1-2) :206-219
[6]   Correlator of the quark scalar currents and Gamma(tot)(H->hadrons) at O(alpha(s)(3)) in pQCD [J].
Chetyrkin, KG .
PHYSICS LETTERS B, 1997, 390 (1-4) :309-317
[7]   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
[8]   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
[9]   R-STAR-OPERATION CORRECTED [J].
CHETYRKIN, KG ;
SMIRNOV, VA .
PHYSICS LETTERS B, 1984, 144 (5-6) :419-424
[10]   Corrections of order alpha(3)(s) to R(had) in pQCD with light gluinos [J].
Chetyrkin, KG .
PHYSICS LETTERS B, 1997, 391 (3-4) :402-412