APEC Seminar (Astronomy - Particle Physics - Experimental Physics - Cosmology)

Speaker: Franz Herzog (NIKHEF)
Title: The R*-method, or how to simplify the calculation of anomalous dimensions of arbitrary local QFTs
Date (JST): Fri, Apr 19, 2019, 12:30 - 13:30
Place: Balcony B
Related File: 2303.pdf
Abstract: The R*-operation is a generalisation of the BPHZ renormalisation scheme, which allows for the subtraction of
both ultraviolet and infrared divergences of Euclidean Feynman Integrals. In particular, R* enables one to extract
the anomalous dimensions of arbitrary n-point L-loop correlators from (L-1)-loop self-energy correlators.
Its intricate combinatorics can be understood within a generalisation of the Connes-Kreimer Hopf algebra.
I will explain the method and present several results which were obtained with this approach at 5 loops in QCD; such as
the beta-function in Yang-Mills theory for a general gauge group, the hadronic decay width of the Higgs boson in massless
QCD and the first Mellin-moments of non-singlet splitting functions at N4LO in QCD. I will further report on an ongoing
project to renormalise 6-dimensional operators in the SMEFT at two loops.