Comment on the Dispersion Relations used to Calculate $\Delta \rho$

Abstract

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.

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

References in corpus (4)

• On the asymptotic $\mathcal{O}(\alpha {\alpha }_S)$ behavior of the electroweak gauge bosons vacuum polarization functions for arbitrary quark masses
• On the Evaluation of Threshold Effects in Processes Involving Heavy Quarks
• On the Precision of the Computation of the QCD Corrections to Electroweak Vacuum Polarizations
• Observations Concerning the Magnitude of t \bar{t} Threshold Effects on Electroweak Parameters

Cited by in corpus (2)

• The NuTeV Anomaly, Neutrino Mixing, and a Heavy Higgs Boson
• On the Choice of Dispersion Relation to Calculate the QCD Correction to $Γ(H\to \ell^+\ell^-)