Massless sunset diagrams in finite asymmetric volumes

Configuration Space Based Recurrence Relations for Sunset-Type Diagrams

We derive recurrence relations for the calculation of multiloop sunset-type diagrams with large powers of massive propagators. The technique is formulated in configuration space and exploits the explicit form of the massive propagator raised to a given power. We write down and evaluate a convenient set of basis integrals. The method is well suited for a numerical evaluation of this class of dia...

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 evaluation of sunset-type Feynman diagrams

We introduce an efficient configuration space technique which allows one to compute a class of Feynman diagrams which generalize the scalar sunset topology to any number of massive internal lines. General tensor vertex structures and modifications of the propagators due to particle emission with vanishing momenta can be included with only a little change of the basic technique described for the...

Lecture 10: Finite Volumes

As we have seen in the previous lectures, FD are very intuitive but lack flexibility and accuracy towards complex geiometries. FEM solve the problem very effectively, but at the cost of a significant computational burden. As we shall see, the FVM offers a very effective intermediate strategy between the two. In this lecture we shall describe the main ideas behind the Finite Volume (FV) method, ...

Lecture Notes for Massless Spinor and Massive Spinor Triangle Diagrams