678 citations · 2.6k across the 33 of their papers we have counts for
5 papers · 1 filter
Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
Franz Herzog
We review Zimmermann's forest formula, which solves Bogoliubov's recursive -operation for the subtraction of ultraviolet divergences in perturbative Quantum Field Theory. We fur…
Five-loop renormalisation of QCD in covariant gauges
K. G. Chetyrkin, G. Falcioni, F. Herzog +1
We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant g…
On Higgs decays to hadrons and the R-ratio at N^4LO
F. Herzog, B. Ruijl, T. Ueda +2
We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and ma…
The R*-operation for Feynman graphs with generic numerators
Franz Herzog, Ben Ruijl
The R*-operation by Chetyrkin, Tkachov, and Smirnov is a generalisation of the BPHZ R-operation, which subtracts both ultraviolet and infrared divergences of euclidean Feynman grap…
The five-loop beta function of Yang-Mills theory with fermions
F. Herzog, B. Ruijl, T. Ueda +2
We have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge t…