Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-08-09
Phys.Lett.B359:355-361,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages
Scientific paper
10.1016/0370-2693(95)01070-7
Predictions for the angular distribution of massive quarks and leptons are presented, including QCD and QED corrections. Recent results for the fermionic part of the two-loop corrections to the electromagnetic form factors are combined with the BLM scale fixing prescription. Two distinctly different scales arise as arguments of $\alpha_s(\mu^2)$ near threshold: the relative momentum of the quarks governing the soft gluon exchange responsible for the Coulomb potential, and a large momentum scale approximately equal to twice the quark mass for the corrections induced by transverse gluons. Numerical predictions for charmed, bottom, and top quarks are given. One obtains a direct determination of $\alpha_V(Q^2)$, the coupling in the heavy quark potential, which can be compared with lattice gauge theory predictions. The corresponding QED results for $\tau$ pair production allow for a measurement of the magnetic moment of the $\tau$ and could be tested at a future $\tau$-charm factory.
Brodsky Stanley J.
Hoang Andre H.
Kuhn Johann H.
Teubner Thomas
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