CLOSED EXPRESSIONS FOR SPECIFIC MASSIVE MULTILOOP SELF-ENERGY INTEGRALS

被引：101

作者：

BERENDS, FA ^{[1
]}

BOHM, M ^{[1
]}

BUZA, M ^{[1
]}

SCHARF, R ^{[1
]}

机构：

[1] UNIV WURZBURG,INST PHYS,D-97074 WURZBURG,GERMANY

来源：

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1994年 / 63卷 / 02期

关键词：

D O I：

10.1007/BF01411014

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 this paper the class of N loop massive scalar self-energy diagrams with N + 1 propagators is studied in an arbitrary number of dimensions. As it is known these integrals cannot be expressed in terms of polylogarithms. Here it is shown, however, that they can be described by generalized hypergeometric functions of several variables, namely Laricella functions. These results represent previous small and large momentum expansions in closed form. Numerical comparisons for the finite part in four dimensions with a two-dimensional integral representation show good agreement.

引用

页码：227 / 234

页数：8

共 18 条

[1]

Appell P., 1926, FONCTIONS HYPERGEOME

[2]

BERENDS FA, IN PRESS NUCL PHYS B

[3] A METHOD OF CALCULATING MASSIVE FEYNMAN-INTEGRALS [J].