5 papers
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 $γ_{\rm ik}^{\,(3)}(N)$ of the four-loop flavour-singlet spli…
Alien operators for PDF evolution
S. Van Thurenhout, G. Falcioni, F. Herzog +1
Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale d…
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…
Constraints for twist-two alien operators in QCD
G. Falcioni, F. Herzog, S. Moch +1
Parton evolution equations in QCD are controlled by the anomalous dimensions of gauge-invariant twist-two spin- quark and gluon operators. Under renormalization, these mix with…
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…