Remarks on the dispersion relations used to calculate Δρ

Tatsu Takeuchi, Aaron K. Grant, and Mihir P. Worah
Phys. Rev. D 51, 6457 – Published 1 June 1995
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Abstract

We use the operator product expansion to show that nonperturbative 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 nonperturbative contribution to Δρ based on a nonrelativistic calculation of corrections to the tt¯ threshold are inconsistent with this result.

  • Received 18 March 1994

DOI:https://doi.org/10.1103/PhysRevD.51.6457

©1995 American Physical Society

Authors & Affiliations

Tatsu Takeuchi

  • Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510

Aaron K. Grant and Mihir P. Worah

  • Enrico Fermi Institute and Department of Physics, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637

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Issue

Vol. 51, Iss. 11 — 1 June 1995

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