185 citations · 335 across the 13 of their papers we have counts for
14 papers
Properties and implications of the four-loop non-singlet splitting functions in QCD
S. Moch, A. Vogt
We have studied the recently completed analytic all-N expressions for the four-loop anomalous dimensions corresponding to the next-to-next-to-next-to-leading order splitting functi…
Four-Loop Gluon Anomalous Dimension of General Lorentz Spin: Transcendental Part
B. A. Kniehl, S. -O. Moch, V. N. Velizhanin +1
We consider the anomalous dimension of the twist-two gluon operator of arbitrary Lorentz spin in the quark flavor singlet sector of a general gauge theory at…
Additional results on the four-loop flavour-singlet splitting functions in QCD
G. Falcioni, F. Herzog, S. Moch +2
We have extended our previous computations, performed analytically for a general gauge group, of the even- moments of the four-loop flavour-singlet split…
Five-loop beta function for gauge theories: computations, results and consequences
F. Herzog, B. Ruijl, T. Ueda +2
At the end of 2016, we computed the five-loop (NLO) contributions to the beta function in perturbative Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge the…
Flavour Non-Singlet Splitting Functions at Four Loops in QCD -- The Fermionic Contributions
B. A. Kniehl, S. Moch, V. N. Velizhanin +1
We have determined the fourth-order contributions to the two splitting functions governing the evolution of all flavor differences of quark distributions of hadrons in pertur…
Four-loop splitting functions in QCD -- The gluon-gluon case --
G. Falcioni, F. Herzog, S. Moch +2
We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} at the fourth order of perturbative QCD via the renormalization of off-shell operator matri…