Four-loop splitting functions in QCD -- The gluon-gluon case --
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929535753125888 |
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| author | Falcioni, G. Herzog, F. Moch, S. Pelloni, A. Vogt, A. |
| author_facet | Falcioni, G. Herzog, F. Moch, S. Pelloni, A. Vogt, A. |
| contents | We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} 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 P_{gg}(x) that should be sufficient for a wide range of collider-physics applications. The N^3LO 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 x >~ 10^{-4} at a standard reference scale with alpha_s = 0.2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08089 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Four-loop splitting functions in QCD -- The gluon-gluon case -- Falcioni, G. Herzog, F. Moch, S. Pelloni, A. Vogt, A. High Energy Physics - Phenomenology We have computed the even-N moments N =< 20 of the gluon-gluon splitting function P_{gg} 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 P_{gg}(x) that should be sufficient for a wide range of collider-physics applications. The N^3LO 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 x >~ 10^{-4} at a standard reference scale with alpha_s = 0.2. |
| title | Four-loop splitting functions in QCD -- The gluon-gluon case -- |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.08089 |