Two-loop sunset diagrams with three massive lines

Two - loop sunset diagrams with three massive lines

In this paper, we consider the two-loop sunset diagram with two different masses, m and M , at spacelike virtuality q2 = −m2. We find explicit representations for the master integrals and an analytic result through O(ε) in d = 4 − 2ε space-time dimensions for the case of equal masses, m = M . PACS: 11.15.-q, 12.38.Bx

On the New Method of Computing Two-loop Massive Diagrams

Two-loop and n-loop vertex corrections for eikonal diagrams with massive partons

We present the ultraviolet poles and finite terms of two-loop vertex corrections for diagrams with massive partons in the eikonal approximation. We discover and prove that the results for a set of the corrections generalize to n-loop eikonal diagrams. These results will enhance theoretical understanding and allow greater calculational accuracy for the many partonic processes where the eikonal a...

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

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 deriv...

Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs

We compute the master integrals for massless two-loop vertex graphs with three offshell legs. These master integrals are relevant for the QCD corrections to H → V V ∗ (where V = W , Z) and for two-loop studies of the triple gluon (and quark-gluon) vertex. We employ the differential equation technique to provide series expansions in ǫ for the various master integrals. The results are analytic an...