Comment on the Dispersion Relations used to Calculate $Δρ$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pgs of Latex. FERMILAB-PUB-94/037-T, EFI 94-07

Scientific paper

10.1103/PhysRevD.51.6457

We use the operator product expansion (OPE) to show that non-perturbative QCD corrections to $\Delta\rho$ 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 $\Delta\rho$ based on a non-relativistic calculation of corrections to the $\ttbar$ threshold are inconsistent with this result.

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