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000625204 0247_ $$2arXiv$$aarXiv:2410.08089
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000625204 088__ $$2arXiv$$aarXiv:2410.08089
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000625204 1001_ $$0P:(DE-H253)PIP1024615$$aFalcioni, Giulio$$b0
000625204 245__ $$aFour-loop splitting functions in QCD – the gluon-gluon case –
000625204 260__ $$c2024
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000625204 500__ $$athe DFGthrough the Research Unit FOR 2926, project number 40824754, and DFG grant MO 1801/4-2,and the ERC Advanced Grant 101095857.
000625204 520__ $$aWe have computed the even-N moments N≤20 of the gluon-gluon splitting function Pgg at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. Our results, derived analytically for a general compact simple gauge group, agree with all results obtained for this function so far, in particular with the lowest five moments obtained via structure functions in deep-inelastic scattering. Using our new moments and all available endpoint constraints, we construct improved approximations for the four-loop Pgg(x) that should be sufficient for a wide range of collider-physics applications. The N3LO contributions to the scale derivative of the gluon distribution, resulting from these and the corresponding quark-to-gluon splitting functions, amount to 1% or less at Image 1 at a standard reference scale with αs=0.2.
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000625204 536__ $$0G:(GEPRIS)409651613$$aDFG project G:(GEPRIS)409651613 - FOR 2926: Next Generation Perturbative QCD for Hadron Structure: Preparing for the Electron-Ion Collider (409651613)$$c409651613$$x1
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000625204 7001_ $$0P:(DE-HGF)0$$aHerzog, Franz$$b1
000625204 7001_ $$0P:(DE-H253)PIP1003775$$aMoch, Sven-Olaf$$b2
000625204 7001_ $$0P:(DE-HGF)0$$aPelloni, Andrea$$b3
000625204 7001_ $$0P:(DE-H253)PIP1101723$$aVogt, Andreas$$b4$$eCorresponding author
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