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Two-loop three-point diagrams with irreducible numerators

We study the problem of calculating two-loop three-point diagrams with irreducible numerators (i.e. numerators which cannot be expressed in terms of the denominators). For the case of massless internal particles and arbitrary (off-shell) external momenta, exact results are obtained in terms of polylogarithms. We also consider the tensor decomposition of two-loop three-point diagrams, and show how it is connected with irreducible numerators.

preprint1994arXivOpen access
Natalia I. UssyukinaAndrei I. Davydychev
hep-phhep-th
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Natalia I. UssyukinaAndrei I. Davydychev

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