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Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay

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arxiv hep-ph/9909436 v1 pith:FHRNUEYG submitted 1999-09-20 hep-ph

Second Order Corrections to the Muon Lifetime and the Semileptonic B Decay

classification hep-ph
keywords correctionsdecaymuonordersemileptonicalphaapproximationarticle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this article two-loop QED corrections to the muon decay and corrections of order $\alpha_s^2$ to the semileptonic decay of the bottom quark are considered. We compute the imaginary part of the four-loop diagrams contributing to the corresponding fermion propagator in the limit of small external momentum. The on-shell condition is obtained with the help of a conformal mapping and Pad\'e approximation. Via this method we confirm the existing results by an independent calculation.

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Cited by 5 Pith papers

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

  1. Complete one-loop QED corrections to $D_s^+$ leptonic decays and impact on the CKM unitarity test

    hep-ph 2025-11 unverdicted novelty 7.0

    Complete one-loop QED and electroweak corrections to D_s^+ leptonic decays give |V_cs| = 0.991 ± 0.007 from latest data, aligning second-column CKM unitarity with the Standard Model.

  2. Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha \alpha_s(\mu_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes

    hep-ph 2022-09 unverdicted novelty 7.0

    Calculates O(α α_s) scheme-conversion coefficients for semileptonic weak operators in MOM/SMOM schemes using projectors that eliminate pure-QCD artifacts and yield reduced scale dependence.

  3. Isospin-breaking effects in inclusive hadronic $\tau$ data for the muon $(g-2)$ from first principles

    hep-lat 2026-07 unverdicted novelty 6.0

    A lattice QCD+QED strategy is outlined for calculating isospin-breaking effects in inclusive tau decays to support high-precision HVP contributions to muon g-2.

  4. QCD corrections to charged-current decays with Heavy Sterile Neutrinos in initial or final state and their impact on $\tau$ decays

    hep-ph 2025-11 conditional novelty 6.0

    New O(α_s^4) formulas for N→τ+hadrons and τ→N+hadrons give |sinθ| ≤ 0.2 at m_N ≈ 600 MeV and a marginal (9.1^{+3.7}_{−7.8})×10⁻² mixing hint from τ→πν and τ→Kν data.

  5. Muon lifetime and Fermi constant: an update

    hep-ph 2026-07 accept novelty 4.5

    Updated Δq = (−4 384 678 ± 34)×10^{-9} reduces theory error on the muon lifetime by an order of magnitude and gives G_F = 1.166 378 59(59)×10^{-5} GeV^{-2}.