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arxiv: 1212.5346 · v2 · pith:7FCO7XRJnew · submitted 2012-12-21 · ✦ hep-ph

Understanding perturbative results for decays of τ leptons into hadrons

classification ✦ hep-ph
keywords resultsdecaysperturbativeannihilationconcerningequationexamplesgroup
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We review some results obtained by us and others concerning the structure of higher order perturbation series in perturbative QCD and their resummation using the renormalization group equation. We illustrate our results by a number of examples involving hadronic \tau decays and e^+ e^- annihilation.

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  1. Hadronic tau decays at higher orders in QCD

    hep-ph 2026-01 unverdicted novelty 5.0

    Sequence transformations applied to the fixed-order QCD series for hadronic tau decays produce estimates c5,1 = 298 ± 15, c6,1 = 3431 ± 256, c7,1 = 2.29 ± 0.29 × 10^4 and a predicted δ^(0)_FOPT = 0.2119 ± 0.0040.