356 citations · 679 across the 6 of their papers we have counts for
8 papers
Four-loop results on anomalous dimensions and splitting functions in QCD
A. Vogt, S. Moch, B. Ruijl +2
We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in th…
R*-operation and five-loop calculations
B. Ruijl, F. Herzog, T. Ueda +2
We sketch how the R*-operation can be used to compute the pole terms of Feynman diagrams. We identify computational difficulties when performing five-loop calculations, and provide…
FORM version 4.2
Ben Ruijl, Takahiro Ueda, Jos Vermaseren
We introduce FORM 4.2, a new minor release of the symbolic manipulation toolkit. We demonstrate several new features, such as a new pattern matching option, new output optimization…
Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
S. Moch, B. Ruijl, T. Ueda +2
We present the next-to-next-to-next-to-leading order (N^3LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in pertur…
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 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…