Four-loop splitting functions in QCD – the gluon-gluon case –

Falcioni, G.; Herzog, F.; Moch, S.; Vogt, A.; Pelloni, A.

doi:10.1016/j.physletb.2024.139194

Journal Article

PUBDB-2024-06094

Four-loop splitting functions in QCD – the gluon-gluon case –

Falcioni, G. (Corresponding author) ; Herzog, F. ; Moch, S.Extern* ; Pelloni, A. ; Vogt, A.

2025
North-Holland Publ. Amsterdam

Physics letters / B 860, 139194 (2025) [10.1016/j.physletb.2024.139194]

This record in other databases:

Please use a persistent id in citations: doi:10.1016/j.physletb.2024.139194 doi:10.3204/PUBDB-2024-06094

Report No.: DESY-24-144; LTH 1384; ZU-TH 47/24; arXiv:2410.08089

Abstract: We present the even-$N$ moments $N\le 20$ of the fourth-order (N$^3$LO) contribution $P_{\rm gg}^{\,(3)}(x)$ to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained by analyticallycomputing off-shell operator matrix elements for a general gauge group, agree with all known results, in particular with the moments $N\le 10$ derived before from structure functions in deep-inelastic scattering. Using the new moments and the available endpoint constraints, we construct approximations for $P_{\rm gg}^{\,(3)}(x)$ which improve upon those obtained from the lowest five even moments. The remaining uncertainties of this function are now practically irrelevant at momentum fractions $x > 0.1$. The resulting errors of the convolution of$P_{\rm gg}$ at N$^3$LO with a typical gluon distribution are small at $x \gtrsim 10^{-3}$ and exceed 1\% only at $x \lesssim 10^{-4}$ for a strong coupling $\alpha_s = 0.2$. The present results for $P_{\rm gg}^{\,(3)}(x)$ should thus be sufficient for most collider-physics applications.

Classification:

ddc:530

Note: the DFG through the Research Unit FOR 2926, project number 40824754, and DFG grant MO 1801/4-2, and the ERC Advanced Grant 101095857.

Contributing Institute(s):

Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

Experiment(s):

Appears in the scientific report 2025

Database coverage:
Medline

;

;

;

;

; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; Nationallizenz