Publication: Four-loop splitting functions in QCD – the gluon-gluon case –
Four-loop splitting functions in QCD – the gluon-gluon case –
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Falcioni, G., Herzog, F., Moch, S., Pelloni, A., & Vogt, A. (2025). Four-loop splitting functions in QCD – the gluon-gluon case –. Physics Letters B, 860, 139194. https://doi.org/10.1016/j.physletb.2024.139194
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We have computed the even-N moments of the gluon-gluon splitting function 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 that s
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Falcioni, G., Herzog, F., Moch, S., Pelloni, A., & Vogt, A. (2025). Four-loop splitting functions in QCD – the gluon-gluon case –. Physics Letters B, 860, 139194. https://doi.org/10.1016/j.physletb.2024.139194