The path to [Formula omitted] parton distributions

We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order ( [Formula omitted]). We construct an approximation to the [Formula omitted] splitting funct...

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Published in:The European physical journal. C, Particles and fields Vol. 84; no. 7
Main Authors: Ball, Richard D, Barontini, Andrea, Candido, Alessandro, Carrazza, Stefano, Cruz-Martinez, Juan, Del Debbio, Luigi, Forte, Stefano
Format: Journal Article
Language:English
Published: Springer 01.07.2024
Subjects:
Distribution (Probability theory)
ISSN:1434-6044
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Abstract We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order ( [Formula omitted]). We construct an approximation to the [Formula omitted] splitting functions that includes all available partial information from both fixed-order computations and from small and large x resummation, and estimate the uncertainty on this approximation by varying the set of basis functions used to construct the approximation. We include known [Formula omitted] corrections to deep-inelastic scattering structure functions and extend the FONLL general-mass scheme to [Formula omitted] accuracy. We determine a set of [Formula omitted] PDFs by accounting both for the uncertainty on splitting functions due to the incomplete knowledge of [Formula omitted] terms, and to the uncertainty related to missing higher corrections (MHOU), estimated by scale variation, through a theory covariance matrix formalism. We assess the perturbative stability of the resulting PDFs, we study the impact of MHOUs on them, and we compare our results to the [Formula omitted] PDFs from the MSHT group. We examine the phenomenological impact of [Formula omitted] corrections on parton luminosities at the LHC, and give a first assessment of the impact of [Formula omitted] PDFs on the Higgs and Drell-Yan total production cross-sections. We find that the [Formula omitted] NNPDF4.0 PDFs are consistent within uncertainties with their NNLO counterparts, that they improve the description of the global dataset and the perturbative convergence of Higgs and Drell-Yan cross-sections, and that MHOUs on PDFs decrease substantially with the increase of perturbative order.
AbstractList We extend the existing leading (LO), next-to-leading (NLO), and next-to-next-to-leading order (NNLO) NNPDF4.0 sets of parton distribution functions (PDFs) to approximate next-to-next-to-next-to-leading order ( [Formula omitted]). We construct an approximation to the [Formula omitted] splitting functions that includes all available partial information from both fixed-order computations and from small and large x resummation, and estimate the uncertainty on this approximation by varying the set of basis functions used to construct the approximation. We include known [Formula omitted] corrections to deep-inelastic scattering structure functions and extend the FONLL general-mass scheme to [Formula omitted] accuracy. We determine a set of [Formula omitted] PDFs by accounting both for the uncertainty on splitting functions due to the incomplete knowledge of [Formula omitted] terms, and to the uncertainty related to missing higher corrections (MHOU), estimated by scale variation, through a theory covariance matrix formalism. We assess the perturbative stability of the resulting PDFs, we study the impact of MHOUs on them, and we compare our results to the [Formula omitted] PDFs from the MSHT group. We examine the phenomenological impact of [Formula omitted] corrections on parton luminosities at the LHC, and give a first assessment of the impact of [Formula omitted] PDFs on the Higgs and Drell-Yan total production cross-sections. We find that the [Formula omitted] NNPDF4.0 PDFs are consistent within uncertainties with their NNLO counterparts, that they improve the description of the global dataset and the perturbative convergence of Higgs and Drell-Yan cross-sections, and that MHOUs on PDFs decrease substantially with the increase of perturbative order.
Audience Academic
Author Barontini, Andrea
Del Debbio, Luigi
Forte, Stefano
Cruz-Martinez, Juan
Candido, Alessandro
Ball, Richard D
Carrazza, Stefano
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