Final-State Interactions in e^+e^- -> t\bar{t} -> b l^+ ν\bar{b} W^- Near Top Quark Threshold

Details Final-State Interactions in e^+e^- -> t\bar{t} -> b l^+ ν\bar{b} W^- Near Top Quark Threshold Final-State Interactions in e^+e^- -> t\bar{t} -> b l^+ ν\bar{b} W^- Near Top Quark Threshold

1997-08-04

arxiv.org/abs/hep-ph/9708223v2

Phys.Rev. D57 (1998) 6912-6927

Physics

High Energy Physics

High Energy Physics - Phenomenology

Section 6 is enlarged substantially and a paragraph is added to Section 8 correspondingly. Reference list is also improved. (2

Scientific paper

10.1103/PhysRevD.57.6912

We calculate final-state interaction corrections to the energy-angular distribution of l^+ in semi-leptonic top quark decay, where the parent top quark is produced via e^+e^- -> t\bar{t} near threshold. These are the corrections due to gluon exchange between t and \bar{b} (\bar{t} and b) and between b and \bar{b}. Combining with previously known other corrections, we explicitly write down the l^+ energy-angular distribution including the full O(alpha_s)=O(beta) corrections near t\bar{t} threshold. Numerical analyses of the final-state interaction corrections are given. We find that they deform the l^+ distribution typically at the 10% level. We also find that all qualitative features of the numerical results can be understood from intuitive pictures. The mechanisms of various effects of the final-state interactions are elucidated. Finally we define an observable which is proper to the decay process of the top quark (dependent only on d\Gamma_{t -> b l^+ \nu}/ dE_l d\Omega_l of a free polarized top quark) near t\bar{t} threshold. Such a quantity will be useful in extracting the decay property of the top quark using the highly polarized top quark samples.

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