The massless two-loop two-point function |
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Authors: | I. Bierenbaum S. Weinzierl |
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Affiliation: | (1) Institut für Physik, Universität Mainz, 55099 Mainz, Germany;(2) Dipartimento di Fisica, Universitá di Parma, INFN Gruppo Collegato di Parma, 43100 Parma, Italy |
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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 . 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.Received: 1 September 2003, Revised: 30 September 2003, Published online: 12 November 2003 |
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