Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-04-16
Z.Phys. C73 (1997) 477-494
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX2e, 46 pages, 18 postscript figures included. Uses epsf. The complete paper, including figures, is also available via ano
Scientific paper
Top quark polarization in $e^+e^-$ annihilation into $t\bar t$ is calculated for linearly polarized beams. The Green function formalism is applied to this reaction near threshold. The Lippmann--Schwinger equations for the $S$-wave and $P$-wave Green functions are solved numerically for the QCD chromostatic potential given by the two-loop formula for large momentum transfer and Richardson's ansatz for intermediate and small momenta. $S$-$P$--wave interference contributes to all components of the top quark polarization vector. Rescattering of the decay products is considered. The mean values $\langle n \ell \rangle$ of the charged lepton four-momentum projections on appropriately chosen directions $n$ in semileptonic top decays are proposed as experimentally observable quantities sensitive to top quark polarization. The results for $\langle n \ell \rangle$ are obtained including $S$-$P$--wave interference and rescattering of the decay products. It is demonstrated that for the longitudinally polarized electron beam a highly polarized sample of top quarks can be produced.
Harlander Robert
Jezabek Marek
Kuehn Johann H.
Peter Martine
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