Theory: Loop calculations with graphical functions

by Oliver Schnetz (U. Erlangen)

Tuesday 4 Jul 2023, 15:00 → 16:00 Europe/Berlin

SR2

We will provide a guided tour through the method of calculating high loop order renormalization functions (7 loops ϕ4, 6 loops ϕ3) 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).