The massless two-loop two-point function

被引:59
作者
Bierenbaum, I [1 ]
Weinzierl, S
机构
[1] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
[2] Univ Parma, Dipartimento Fis, Ist Nazl Fis Nucl, Grp Collegato Parma, I-43100 Parma, Italy
来源
EUROPEAN PHYSICAL JOURNAL C | 2003年 / 32卷 / 01期
关键词
D O I
10.1140/epjc/s2003-01389-7
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
We consider the massless two-loop two-point function with arbitrary powers of the propagators and derive a representation from which we can obtain the Laurent expansion to any desired order in the dimensional regularization parameter epsilon. As a side product, we show that in the Laurent expansion of the two-loop integral only rational numbers and multiple zeta values occur. Our method of calculation obtains the two-loop integral as a convolution product of two primitive one-loop integrals. We comment on the generalization of this product structure to higher loop integrals.
引用
收藏
页码:67 / 78
页数:12
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