Institute for Theoretical Particle Physics (TTP)
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preprints:1997:ttp97-23 [2016/03/15 20:39] (current) – created - external edit 127.0.0.1
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 +====== TTP97-23 Final-State Interactions in e^+e^- \to t\bar t \to bl^+\nu\bar bW^-        Near Top Quark Threshold ====== 
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 +<hidden TTP97-23  Final-State Interactions in e^+e^- \to t\bar t \to bl^+\nu\bar bW^-        Near Top Quark Threshold > 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^- \to 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 full O(\alpha_s)=O(\beta) corrections near 
 + threshold.  Numerical analyses of the final-state interaction 
 + corrections are presented.  We find that they deform the l^+ 
 + distribution typically at 10% level.  Also we elucidate mechanisms of 
 + the various effects of the final-state interactions.  We find that all 
 + qualitative features of the numerical results can be understood from 
 + intuitive pictures.  The natures that \bar{b} is emitted preferrably in 
 + the parent \bar{t}'s spin direction and that there is attractive force 
 + between \bar{b} and \bar{t} generate: shift of |p_t|-distribution, 
 + forward-backward asymmetry of t, modification of the top-quark 
 + polarization vector, and energy-angle-correlated deformation of l^+ 
 + distributions. 
 +  
 + </hidden> 
 +|**M. Peter and Y. Sumino**  |  
 +| {{preprints:1997:ttp97-23.pdf|PDF}} {{preprints:1997:ttp97-23.ps|PostScript}}   | 
 +| |