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On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime

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arxiv hep-ph/9904240 v1 pith:32CHM3QH submitted 1999-04-06 hep-ph

On the Precise Determination of the Fermi Coupling Constant from the Muon Lifetime

classification hep-ph
keywords constantcorrectionscouplingdeterminationfermilifetimemuonanalyses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The determination of the Fermi coupling constant, G_F, is examined in the light of recently calculated 2-loop QED corrections and planned experiments to measure the muon lifetime to a level below 1ppm. The methods used in the calculation of the QED corrections are described in detail. Sources of the dominant theoretical and experimental uncertainties are identified. Finally the incorporation of G_F into analyses using the full electroweak Standard Model is discussed.

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Cited by 6 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}.

  6. QED radiative corrections in inverse beta decay from virtual pions

    hep-ph 2026-04 unverdicted novelty 4.0

    Pion-induced QED radiative corrections in inverse beta decay are small, at or below nucleon form factor uncertainties, enabling sub-permille theoretical precision for charged-current neutrino-nucleon scattering above 10 MeV.