4.7 Article

The massless two-loop two-point function

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EUROPEAN PHYSICAL JOURNAL C
卷 32, 期 1, 页码 67-78

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SPRINGER
DOI: 10.1140/epjc/s2003-01389-7

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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.

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