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Renormalization group analysis of the tau-lepton decay within QCD

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arxiv hep-ph/0302003 v1 pith:6XRXREQI submitted 2003-02-01 hep-ph

Renormalization group analysis of the tau-lepton decay within QCD

classification hep-ph
keywords decaytau-leptonanalysisanalyticanalyzedappearingcontinuationcorrections
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A technique to sum up the regular corrections appearing under the analytic continuation from the spacelike momentum region to the timelike one is proposed. A perturbative part of the inclusive semileptonic decay width of the tau-lepton in analyzed in detail.

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Cited by 4 Pith papers

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

  1. Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

    hep-ph 2026-03 conditional novelty 5.0

    Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.

  2. 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.

  3. Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

    hep-ph 2026-03 unverdicted novelty 4.0

    Combined fits of KEDR and BESIII R(s) data yield alpha_s(M_Z) = 0.1179, 0.1221, and 0.1312 at NLO, NNLO, and NNNLO, demonstrating strong dependence on perturbative truncation order.

  4. Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination

    hep-ph 2026-03 unverdicted novelty 4.0

    Combined KEDR+BESIII R(s) fits below charm threshold yield α_s(M_Z) that systematically increases from NLO to N³LO, attributed to π² analytic-continuation effects.