TY  - EJOUR
AU  - Falcioni, Giulio
AU  - Herzog, Franz
AU  - Moch, Sven-Olaf
AU  - Pelloni, Andrea
AU  - Vogt, Andreas
TI  - Four-loop splitting functions in QCD – the gluon-gluon case –
IS  - arXiv:2410.08089
M1  - PUBDB-2025-01052
M1  - arXiv:2410.08089
M1  - ZU-TH 47/24
M1  - DESY-24-144
M1  - LTH 1384
PY  - 2024
N1  - the DFGthrough the Research Unit FOR 2926, project number 40824754, and DFG grant MO 1801/4-2,and the ERC Advanced Grant 101095857.
AB  - 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
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2025-01052
UR  - https://bib-pubdb1.desy.de/record/625204
ER  -