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PUBDB-2025-01052

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Four-loop splitting functions in QCD – the gluon-gluon case –

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

2024

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Please use a persistent id in citations: doi:10.3204/PUBDB-2025-01052

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

Abstract: 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% or less at Image 1 at a standard reference scale with αs=0.2.

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

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613) (409651613)

Experiment(s):

1. LHC: ATLAS
2. LHC: CMS
3. LHC: Other

Appears in the scientific report 2024

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Falcioni, G. (Corresponding author) ; Herzog, F. ; Moch, S.Extern* ; Pelloni, A. ; Vogt, A.
Four-loop splitting functions in QCD – the gluon-gluon case –
Physics letters / B 860, 139194 (2025) [10.1016/j.physletb.2024.139194]2025     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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