English

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

High Energy Physics - Phenomenology 2009-03-27 v2

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.

Keywords

Cite

@article{arxiv.0901.2133,
  title  = {On a two-loop crossed six-line master integral with two massive lines},
  author = {T. Huber},
  journal= {arXiv preprint arXiv:0901.2133},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:00:59.098Z