2-LOOP 2-POINT FUNCTIONS WITH MASSES - ASYMPTOTIC EXPANSIONS AND TAYLOR-SERIES, IN ANY DIMENSION

被引：210

作者：

BROADHURST, DJ ^{[1
]}

FLEISCHER, J ^{[1
]}

TARASOV, OV ^{[1
]}

机构：

[1] UNIV BIELEFELD,FAK PHYS,D-33615 BIELEFELD 1,GERMANY

来源：

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1993年 / 60卷 / 02期

关键词：

D O I：

10.1007/BF01474625

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：

In all mass cases needed for quark and gluon self-energies, the two-loop master diagram is expanded at large and small q2, in d dimensions, using identities derived from integration by parts. Expansions are given, in terms of hypergeometric series, for all gluon diagrams and for all but one of the quark diagrams; expansions of the latter are obtained from differential equations. Pade approximants to truncations of the expansions are shown to be of great utility. As an application, we obtain the two-loop photon self-energy, for all d, and achieve highly accelerated convergence of its expansions in powers of q2/m2 or m2/q2, for d=4.

引用

页码：287 / 301

页数：15