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arxiv: hep-ph/0308311 · v3 · submitted 2003-08-29 · ✦ hep-ph

The massless two-loop two-point function

classification ✦ hep-ph
keywords two-loopproductexpansionfunctionintegralintegralslaurentmassless
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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 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.

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