Small-threshold behaviour of two-loop self-energy diagrams: Some special cases

被引:3
作者
Berends, FA [1 ]
Davydychev, AI [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/S0920-5632(96)90040-7
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
An algorithm to construct analytic approximations to two-loop diagrams describing their behaviour at small non-aero thresholds is discussed. For some special cases (involving two different-scale mass parameters), several terms of the expansion are obtained.
引用
收藏
页码:301 / 306
页数:6
相关论文
共 35 条
[1]  
[Anonymous], 1987, REDUCE USERS MANUAL
[2]   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
[3]   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
[4]   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
[5]   ON THE NUMERICAL EVALUATION OF SCALAR 2-LOOP SELF-ENERGY DIAGRAMS [J].
BERENDS, FA ;
TAUSK, JB .
NUCLEAR PHYSICS B, 1994, 421 (02) :456-470
[6]  
BOLLINI CG, 1972, NUOV CIMEN S I FIS B, VB 12, P20
[7]   2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION [J].
BROADHURST, DJ ;
FLEISCHER, J ;
TARASOV, OV .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 60 (02) :287-301
[8]   THE MASTER 2-LOOP DIAGRAM WITH MASSES [J].
BROADHURST, DJ .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 47 (01) :115-124
[9]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V75, p[346, 26]
[10]  
Chetyrkin K.G., 1988, TEOR MAT FIZ, V76, P207