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The three loop relation between the \bar {MS} and the pole quark masses

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arxiv hep-ph/9912391 v2 pith:LTCSM3JY submitted 1999-12-17 hep-ph

classification hep-ph
keywords relationmassespolequarkaccuracyalphaanalyticapproximation
verification ladder T0 review T1 audit T2 compute T3 formal
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The analytic relation between the \bar {MS} and the pole quark masses is computed to O(\alpha_s^3) in QCD. Using this exact result, the accuracy of the large \beta_0 approximation is critically examined and the implications of the obtained relation for semileptonic B decays are discussed.

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Cited by 3 Pith papers

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

  1. Bare effective potential and Goldstone boson anti-resummation

    hep-ph 2026-08 conditional novelty 7.0 of 10

    Treating Goldstone-boson squared masses as interaction vertices instead of propagator masses eliminates spurious infrared logarithms and imaginary parts, giving a consistent three-loop tadpole-free effective potential...

  2. Data determination of HQET parameters in inclusive charm decays

    hep-ph 2025-02 conditional novelty 6.0 of 10

    The first data-driven determination of the HQET parameters mu_pi^2, mu_G^2, rho_D^3 and rho_LS^3 for D0, D+ and Ds mesons is obtained from inclusive semileptonic decay widths and electron energy moments.

  3. 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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