The massless two-loop two-point function

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 \(\varepsilon\). As a side product, we show that in the Laurent ex...

Full description

Saved in:
Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 32; no. 1; pp. 67 - 78
Main Authors Bierenbaum, I., Weinzierl, S.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.12.2003
Subjects
Convolution
Integrals
Numbers
Regularization
Online AccessGet full text

Cover

More Information
Summary: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 \(\varepsilon\). 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s2003-01389-7