Speaker
Oliver Schnetz
(Friedrich-Alexander-University)
Description
We will provide a guided tour through the method of calculating high loop order renormalization functions (7 loops $\phi^4$, 6 loops $\phi^3$) with graphical functions. This tour will lead through graphical functions in even dimensions (for calculating primitive Feynman periods, with M. Borinsky), generalized single-valued hyperlogarithms (GSVHs, a suitable function space), and the extension to non-integer dimensions (dimensional regularization). We will briefly discuss future applications to gauge theories (most notably QED and QCD).
