Comment on the Dispersion Relations used to Calculate Δρ
Tatsu Takeuchi, Aaron K. Grant, Mihir P. Worah
Abstract
We use the operator product expansion (OPE) to show that non-perturbative QCD corrections to Δρ can be calculated using unsubtracted dispersion relations for either the transverse or the longitudinal vacuum polarization functions. Recent calculations of the non-perturbative contribution to Δρ based on a non-relativistic calculation of corrections to the threshold are inconsistent with this result.
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