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Evolution of structure functions in momentum space

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arxiv 2304.06998 v3 pith:I7GZSOQJ submitted 2023-04-14 hep-ph nucl-th

Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio This is my paper · ORCID
classification hep-phnucl-th
keywords functionsstructureequationsdglapevolutionorderwithoutallows
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We formulate the momentum-space Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations for structure functions measurable in deeply inelastic scattering. We construct a six-dimensional basis of structure functions that allows for a full three flavor structure and thereby provides a way to calculate perturbative predictions for physical cross sections directly without unobservable parton distribution functions (PDFs) and without the associated scheme dependence. We derive the DGLAP equations to first non-zero order in strong coupling $\alpha_s$, but the approach can be pursued to arbitrary order in perturbation theory. We also numerically check our equations against the conventional PDF formulation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Factorisation schemes for proton PDFs

    hep-ph 2025-01 conditional novelty 7.0 of 10

    All common NLO factorisation schemes for proton PDFs are special cases of a single discrete family, and scheme choice can shift LHC jet predictions by up to 20-30%.

  2. Next-to-leading order evolution of structure functions without PDFs

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The authors build a complete NLO momentum-space DGLAP evolution for a six-observable physical basis of DIS structure functions and compare its numerical results with conventional PDF-based evolution.

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