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The massless two-loop two-point function

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arxiv hep-ph/0308311 v3 pith:Z5SSSS2Y submitted 2003-08-29 hep-ph

classification hep-ph
keywords two-loopproductexpansionfunctionintegralintegralslaurentmassless
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.

  2. IBIS: Inverse BInomial sum Solver

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