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Analytic Reconstruction of heavy-quark two-point functions at O(\alpha_s^3)
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Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar and pseudoscalar channels from the Taylor expansion at q^2=0, the threshold expansion at q^2=4m^2 and the OPE at q^2\rightarrow -\infty, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known.
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Calibrated correlation between heavy-quark masses and Hadronic Vacuum Polarization observables at the precision frontier
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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