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

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

2009-01-14

arxiv.org/abs/0901.2133v2

JHEP 0903:024,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure. References added, minor modifications. Matches published version

Scientific paper

10.1088/1126-6708/2009/03/024

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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