HET seminar: Franz Herzog
Speaker: Franz Herzog
Title: The R*-method, or how to simplify the calculation of anomalous dimensions
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.
I will explain the method and present several results which were obtained with this approach at 5-loops; such as
the beta-function in Yang-Mills theory and the hadronic decay width of the Higgs boson in massless QCD. I will further
the beta-function in Yang-Mills theory and the hadronic decay width of the Higgs boson in massless QCD. I will further
describe an ongoing effort to implement the method into an automated framework, allowing for the calculation of
anomalous dimensions of arbitrary local QFT operators.