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arXiv · 0901.2133

On a two-loop crossed six-line master integral with two massive lines

T. Huber
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Abstract

We compute the two-loop crossed six-line vertex master integral with two massive lines in dimensional regularisation, and give the result up to the finite part in D-4. We focus in particular on the purely analytical calculation of the boundary condition which we derive from a three-fold Mellin-Barnes representation. We also describe how the computation of the boundary condition is used to derive three non-trivial relations among harmonic polylogarithms of the sixth root of unity.

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T. Huber. 2009-02-24. On a two-loop crossed six-line master integral with two massive lines. https://doi.org/10.1088/1126-6708%2F2009%2F03%2F024

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