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On a two-loop crossed six-line master integral with two massive lines
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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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Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor
The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized po...
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