Four-loop splitting functions in QCD – the gluon-gluon case –
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 th...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-01-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324007524 |
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| Summary: | 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. |
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| ISSN: | 0370-2693 |