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Renormalons Beyond One-Loop

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arxiv hep-th/9611010 v3 pith:6E3RYA3S submitted 1996-11-03 hep-th hep-ph

classification hep-thhep-ph
keywords beyondfirstinfraredone-looporderrenormalonrenormalonsbehavior
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Higher order renormalons beyond the chain of one-loop bubbles are discussed. A perturbation method for the infrared renormalon residue is found. The large order behavior of the current-current correlation function due to the first infrared renormalon is determined in both QED and QCD to the first three orders.

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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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