%0 Electronic Article
%A Falcioni, Giulio
%A Herzog, Franz
%A Moch, Sven-Olaf
%A Pelloni, Andrea
%A Vogt, Andreas
%T Four-loop splitting functions in QCD – the gluon-gluon case –
%N arXiv:2410.08089
%M PUBDB-2025-01052
%M arXiv:2410.08089
%M ZU-TH 47/24
%M DESY-24-144
%M LTH 1384
%D 2024
%Z the DFGthrough the Research Unit FOR 2926, project number 40824754, and DFG grant MO 1801/4-2,and the ERC Advanced Grant 101095857.
%X We have computed the even-N moments N≤20 of the gluon-gluon splitting function Pgg at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general compact simple gauge group, agree with all results obtained for this function so far, in particular with the lowest five moments obtained via structure functions in deep-inelastic scattering. Using our new moments and all available endpoint constraints, we construct improved approximations for the four-loop Pgg(x) that should be sufficient for a wide range of collider-physics applications. The N3LO contributions to the scale derivative of the gluon distribution, resulting from these and the corresponding quark-to-gluon splitting functions, amount to 1
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2025-01052
%U https://bib-pubdb1.desy.de/record/625204