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Physical Anomalous Dimensions at Small $x$

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arxiv hep-ph/9609263 v1 pith:NLY5PEQF submitted 1996-09-05 hep-ph

classification hep-ph
keywords analysisanomalousdimensionsphysicalsmalltheoreticalalternativedensity
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

I present a theoretical discussion of the uncertainties related to the QCD analysis of the proton structure function $F_2(x,Q^2)$ at small $x$. The role played by the `unphysical' gluon density is pointed out. It is shown how the study of more observables can reduce the theoretical uncertainty and, in particular, an alternative method of analysis, based on the introduction of physical anomalous dimensions, is suggested.

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Cited by 3 Pith papers

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

  1. 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.

  2. PDF evolution in alternative factorisation schemes

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.

  3. On the positivity of MSbar parton distributions

    hep-ph 2023-07 unverdicted novelty 3.0 of 10

    MSbar PDFs are non-negative above an estimated perturbative scale, with clarification of the argument's domain of validity.

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