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Heavy Quark Current Correlators to O(\alpha_s^2)

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arxiv hep-ph/9705254 v1 pith:PZL7RANR submitted 1997-05-07 hep-ph

classification hep-ph
keywords currentalphaaxial-vectorcalculatedcasescorrelatorscrossdecay
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper the three-loop polarization functions \Pi(q^2) are calculated for the cases of an external vector, axial-vector, scalar or pseudo-scalar current. Results are presented for the imaginary part which directly leads to the cross section $\sigma(e^+e^- \to Z \to hadrons)$ and to the Higgs decay rates, respectively.

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Cited by 1 Pith paper

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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.

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