Threshold behavior of Feynman diagrams: The master two-loop propagator

被引:42
作者
Czarnecki, A [1 ]
Smirnov, VA [1 ]
机构
[1] MOSCOW MV LOMONOSOV STATE UNIV,INST NUCL PHYS,MOSCOW 119899,RUSSIA
基金
俄罗斯基础研究基金会;
关键词
D O I
10.1016/S0370-2693(96)01698-X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
An asymptotic expansion of the two-loop two-point ''master'' diagram with two masses m and M, on the mass shell Q(2) = M(2), is presented, The treatment of the non-analytical terms arising in the expansion around the branching point is discussed. Some details of the calculation of a new class of two-loop integrals are given.
引用
收藏
页码:211 / 217
页数:7
相关论文
共 22 条
[1]   SIMPLE ONE-DIMENSIONAL INTEGRAL-REPRESENTATIONS FOR 2-LOOP SELF-ENERGIES - THE MASTER DIAGRAM [J].
BAUBERGER, S ;
BOHM, M .
NUCLEAR PHYSICS B, 1995, 445 (01) :25-46
[2]   ANALYTICAL AND NUMERICAL-METHODS FOR MASSIVE 2-LOOP SELF-ENERGY DIAGRAMS [J].
BAUBERGER, S ;
BERENDS, FA ;
BOHM, M ;
BUZA, M .
NUCLEAR PHYSICS B, 1995, 434 (1-2) :383-407
[3]   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
[4]   Small-threshold behaviour of two-loop self-energy diagrams: Two-particle thresholds [J].
Berends, FA ;
Davydychev, AI ;
Smirnov, VA .
NUCLEAR PHYSICS B, 1996, 478 (1-2) :59-89
[5]   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
[6]   THE MASTER 2-LOOP DIAGRAM WITH MASSES [J].
BROADHURST, DJ .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 47 (01) :115-124
[7]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V75, p[346, 26]
[8]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V76, P207
[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]   QCD CORRECTIONS FROM THE TOP-QUARK TO RELATIONS BETWEEN ELECTROWEAK PARAMETERS UP TO ORDER ALPHA(2)(S) [J].
CHETYRKIN, KG ;
KUHN, JH ;
STEINHAUSER, M .
PHYSICAL REVIEW LETTERS, 1995, 75 (19) :3394-3397