QED and QCD at six loops with graphical functions

• Applicant: Privatdozent Dr. Oliver Schnetz
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 528317368

The project aims to use the novel theory of graphical functions to compute the renormalization functions of QED and QCD to loop order six. The calculations are performed with dimensional regularization in the minimal subtraction scheme. We will also finalize the calculation of the six loop beta-function in six-dimensional phi^3 theory and do a partial (~95% complete) calculation of the eight loop beta-function in phi^4 theory.

• DFG Programme: Research Grants