Tensor reduction of two-loop vacuum diagrams and projectors for expanding three-point functions

被引:25
作者
Davydychev, AI
Tausk, JB
机构
[1] MOSCOW MV LOMONOSOV STATE UNIV,INST NUCL PHYS,MOSCOW 119899,RUSSIA
[2] UNIV MAINZ,INST PHYS,D-55099 MAINZ,GERMANY
关键词
Feynman integrals; two-loop diagrams; tensor reduction; momentum expansion; orthogonal polynomials;
D O I
10.1016/0550-3213(96)00033-8
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
Explicit general formulae for the tensor reduction of two-loop massive vacuum diagrams are presented. The problem of calculating the corresponding coefficients is shown to be equivalent to the problem of constructing differential operators (projectors) extracting the coefficients of the momentum expansion of massive scalar three-point functions (with any number of loops), so the solution to the latter problem is also given.
引用
收藏
页码:507 / 520
页数:14
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