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Phys. Rev. D 51, 6457–6462 (1995)

Remarks on the dispersion relations used to calculate Δρ

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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

Received 18 March 1994; published in the issue dated 1 June 1995

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.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.51.6457
DOI:
10.1103/PhysRevD.51.6457
PACS:
11.55.Fv, 12.15.Lk