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Heavy Quark Masses from Sum Rules in Four-Loop Approximation

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arxiv hep-ph/0702103 v1 pith:6V6CO2TV submitted 2007-02-11 hep-ph

classification hep-ph
keywords massesanalysisbottomcharmfour-loopquarktheoreticalapproximation
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

New data for the total cross section $\sigma(e^+e^-\to{hadrons})$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance $\bar{\rm MS}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\bar{\rm MS}$-masses, $m_c(3 {GeV})=0.986(13)$ GeV and $m_b(10 {GeV})=3.609(25)$ GeV, can be translated into $m_c(m_c)=1.286(13)$ GeV and $m_b(m_b)=4.164(25)$ GeV. This analysis is consistent with but significantly more precise than a similar previous study.

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Cited by 2 Pith papers

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  1. Calibrated correlation between heavy-quark masses and Hadronic Vacuum Polarization observables at the precision frontier

    hep-ph 2026-08 conditional novelty 7.0 of 10

    A generalized QCD sum rule with the HVP kernel as weight simultaneously determines heavy-quark masses and their muon g-2 contributions, with reduced uncertainty.

  2. Investigating non-local contributions in $B_{s} \to \phi \bar{\ell} \ell$ including higher-twist effects

    hep-ph 2025-02 conditional novelty 6.0 of 10

    Including twist-5 and twist-6 B_s-meson distribution amplitudes enhances the charm-loop non-local form factors in B_s to phi l+l- by about an order of magnitude, producing a larger but still Standard-Model-consistent ...

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