The massless two-loop two-point function

Abstract

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 eps. 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.

22 pages, revised version, eq. 9, 10 and 53 corrected

References in corpus (2)

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• Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box

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