Speaker
Andreas von Manteuffel
Description
In this talk, I describe a new method for the decomposition of multi-loop
Feynman integrals into quasi-finite Feynman integrals.
These are defined in shifted dimensions with higher powers of the propagators,
make explicit both infrared and ultraviolet divergences, and allow for an
immediate and trivial expansion in the parameter of dimensional
regularization. The approach avoids the introduction of spurious structures
and thereby leaves integrals particularly accessible to direct analytical
integration techniques. Alternatively, the resulting convergent Feynman
parameter integrals may be evaluated numerically. The method is based on
integration by parts reductions and allows for automation in a straight-
forward fashion. Further reading: arXiv:1411.7392.
