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The path to $\hbox {N}^3\hbox {LO}$ parton distributions / NNPDF Collaboration
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 (aN$^3$LO). We construct an approximation to the N$^3$LO 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. [...]
arXiv:2402.18635; Nikhef-2023-020; TIF-UNIMI-2023-23; Edinburgh 2023/29.- 2024-07-03 - 59 p. - Published in : Eur. Phys. J. C 84 (2024) 659 Fulltext: 2402.18635 - PDF; Publication - PDF;

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LO, NLO, and NNLO Parton Distributions for LHC Event Generators / Cruz-Martinez, Juan (CERN) ; Forte, Stefano (INFN, Milan ; Milan U.) ; Laurenti, Niccolo (INFN, Milan ; Milan U.) ; Rabemananjara, Tanjona R. (Vrije U., Amsterdam ; NIKHEF, Amsterdam) ; Rojo, Juan (Vrije U., Amsterdam ; NIKHEF, Amsterdam)
We present NNPDF4.0MC, a variant of the NNPDF4.0 set of parton distributions (PDFs) at LO, NLO and NNLO, with and without inclusion of the photon PDF, suitable for use with Monte Carlo (MC) event generators, which require PDFs to satisfy additional constraints in comparison to standard PDF sets. These requirements include PDF positivity down to a low scale $Q\sim 1$ GeV, smooth extrapolation in the very small and large $x$ regions, and numerically stable results even in extreme regions of phase space for all PDFs. [...]
arXiv:2406.12961; CERN-TH-2024-080; TIF-UNIMI-2024-4.- 2024-09-17 - 14 p. - Published in : JHEP 2409 (2024) 088 Fulltext: document - PDF; 2406.12961 - PDF;

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Determination of the theory uncertainties from missing higher orders on NNLO parton distributions with percent accuracy / NNPDF Collaboration
We include uncertainties due to missing higher order corrections to QCD computations (MHOU) used in the determination of parton distributions (PDFs) in the recent NNPDF4.0 set of PDFs. We use our previously published methodology, based on the treatment of MHOUs and their full correlations through a theory covariance matrix determined by scale variation, now fully incorporated in the new NNPDF theory pipeline. [...]
arXiv:2401.10319; TIF-UNIMI-2023-22; Edinburgh 2023/34; CERN-TH-2024-009.- 2024-05-21 - 23 p. - Published in : Eur. Phys. J. C 84 (2024) 517 Fulltext: document - PDF; 2401.10319 - PDF;

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Photons in the proton: implications for the LHC / NNPDF Collaboration
We construct a set of parton distribution functions (PDFs), based on the recent NNPDF4.0 PDF set, that also include a photon PDF. The photon PDF is constructed using the LuxQED formalism, while QED evolution accounting for O(alpha), O(alpha alphas) and O(alpha^2) corrections is implemented and benchmarked by means of the EKO code. [...]
arXiv:2401.08749; TIF-UNIMI-2023-17; Edinburgh 2023/19; CERN-TH-2023-159.- 2024-05-28 - 32 p. - Published in : Eur. Phys. J. C 84 (2024) 540 Fulltext: document - PDF; 2401.08749 - PDF;

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1	Laurenti, N
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