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19932026
most citedThe Three-Loop Splitting Functions in QCD: The Non-Singlet Case

1.3k citations · 13.3k across the 163 of their papers we have counts for

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184 papers

hep-ph2026

On the status of the 4-loop splitting functions in QCD

S. Moch, A. Vogt

We briefly discuss recent results on the four-loop splitting functions for the scale dependence of the parton distributions of hadrons. The three non-singlet cases are now complete…

hep-ph2023

NNLO QCD corrections to semi-inclusive DIS

Saurav Goyal, Sven-Olaf Moch, Vaibhav Pathak +2

We present the first results for the next-to-next-to leading order (NNLO) corrections to the semi-inclusive deep-inelastic scattering process in perturbative quantum chromodynamics…

hep-ph2023

Additional moments and x-space approximations of four-loop splitting functions in QCD

S. Moch, B. Ruijl, T. Ueda +2

We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all o…

hep-ph2023

The double fermionic contribution to the four-loop quark-to-gluon splitting function

G. Falcioni, F. Herzog, S. Moch +2

We have computed the first 30 even-N moments for the double fermionic (nf^2) part of the quark-to-gluon splitting function P_{gq} at the fourth order of perturbative QCD via the re…

hep-ph2023

Impact of SeaQuest data on PDF fits at large

S. Alekhin, M. V. Garzelli, S. Kulagin +1

We evaluate the impact of recent SeaQuest (E906 experiment) data on dimuon production in proton-deuteron and proton-proton collisions on parton distribution functions (PDFs). We fi…

hep-ph2023★ 38 cited

Four-loop splitting functions in QCD -- The gluon-to-quark case

G. Falcioni, F. Herzog, S. Moch +1

We have computed the even- moments of the gluon-to-quark splitting function at the fourth order of perturbative QCD via the renormalization of off-shell…