Renormalon contributions to δ
Abstract
Leading QCD vacuum polarization contributions to the electroweak parameter δ are evaluated numerically using several different prescriptions for the gluon self-energy. Simple theoretical estimates of the asymptotic behavior are given. The results show a significant contribution from the leading infrared renormalons when δ is expressed in terms of the top-quark pole mass and its absence when the running mass is employed. The calculations are applied to estimate higher order QCD contributions to δ.
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