Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-10-23
Phys.Lett. B458 (1999) 383-388
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 6 figures, LaTeX, simpler derivation of main results, also added a comparison with Monte Carlo expectations
Scientific paper
10.1016/S0370-2693(99)00578-X
The reaction $ e^+e^- \to W^+W^-$ produces a $W$-boson pair with a non-trivial spin correlation at threshold. This correlation leads to a characteristic angular correlation between the leptons produced in $W^{\pm} \to \ell ^{\pm} \nu$ (angles relative to the $e^-$ beam direction): $d \sigma /d \cos \theta_+ d \cos \theta_- \sim (1-\cos \theta_+) (1+ \cos \theta_-) (1+\cos \theta_- \cos \theta_+) $ . If only the $\ell^-$ is observed, its angular distribution is $d \sigma / d \cos \theta_- \sim (1+\cos \theta_-)(3-\cos \theta_-) $, implying a forward-backward asymmetry of 3/8. An analytic result is also given for the azimuthal correlation. These results are reproduced by a Monte Carlo program, that also enables us to study the effects of the $W$ decay width. The threshold behaviour, which stems from the dominance of $\nu$-exchange, is contrasted with that due to $\gamma$- and $Z$-exchange, which is relevant for annihilation in the helicity state $e^-_Re^+_L$.
Sehgal Lalit M.
Werthenbach Anja
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