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Complete Renormalization Group Improvement-Avoiding Factorization and Renormalization Scale Dependence in QCD Predictions

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arxiv hep-ph/0002204 v1 pith:W6FQRTQZ submitted 2000-02-18 hep-ph

classification hep-ph
keywords renormalizationdependencefactorizationmethodscaleadvocatedapproachcharges
verification ladder T0 review T1 audit T2 compute T3 formal
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For moments of leptoproduction structure functions we show that all dependence on the renormalization and factorization scales disappears, provided that all the ultraviolet logarithms involving the physical energy scale Q are completely resummed. The approach is closely related to Grunberg's method of Effective Charges. A direct and simple method for extracting the universal dimensional transmutation parameter of QCD from experimental data is advocated.

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  1. What are the consequences of independent factorization and renormalization scales?

    hep-ph 2026-08 conditional novelty 6.0 of 10

    Independent factorization and renormalization scales are inconsistent with simultaneously preserving RG invariance, Ward identities, and PDF sum rules in generalized pole subtraction schemes.

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