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Normalization Constants of Large Order Behavior

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arxiv hep-ph/9908225 v1 pith:SVRQB65Q submitted 1999-08-03 hep-ph

classification hep-ph
keywords normalizationbehaviorconstantlargeorderrenormalonschemearising
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A perturbation scheme is discussed for the computation of the normalization constant of the large order behavior arising from an ultraviolet renormalon. In this scheme the normalization constant is expressed in a convergent series that can be calculated using the ordinary perturbative expansion and the nature of the renormalon singularity.

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  1. Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

    hep-ph 2025-05 conditional novelty 4.0 of 10

    A QCD method that subtracts and Borel-sums factorially growing high-order terms improves the stability of perturbative series for the static energy, pole mass, and Bjorken sum rule.

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