{ "id": "hep-ph/9810462", "version": "v2", "published": "1998-10-23T13:47:17.000Z", "updated": "1999-05-12T15:01:50.000Z", "title": "Angular Distribution of Decay Leptons from e^+e^- \\to W^+W^- at Threshold", "authors": [ "A. Werthenbach", "L. M. Sehgal" ], "comment": "10 pages, 6 figures, LaTeX, simpler derivation of main results, also added a comparison with Monte Carlo expectations", "journal": "Phys.Lett. B458 (1999) 383-388", "doi": "10.1016/S0370-2693(99)00578-X", "categories": [ "hep-ph" ], "abstract": "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 $e^-_Re^+_L$.", "revisions": [ { "version": "v2", "updated": "1999-05-12T15:01:50.000Z" } ], "analyses": { "keywords": [ "angular distribution", "decay leptons", "monte carlo program", "characteristic angular correlation", "non-trivial spin correlation" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 478336 } } }