ANGULAR-DISTRIBUTIONS OF MASSIVE QUARKS AND LEPTONS CLOSE TO THRESHOLD

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.