{ "id": "hep-ph/9406202", "version": "v2", "published": "1994-06-01T10:09:58.000Z", "updated": "1994-06-02T14:37:15.000Z", "title": "On the Determination of $a_1$ and $a_2$ from Hadronic Two Body $B$ Decays", "authors": [ "M. Gourdin", "A. M Kamal", "Y. Y. Keum", "X. Y. Pham" ], "comment": "9pages(Latex)+4 figures(PS file appended), PAR/LPTHE/94-22", "journal": "Phys.Lett. B333 (1994) 507-513", "doi": "10.1016/0370-2693(94)90175-9", "categories": [ "hep-ph" ], "abstract": "{}From Class I decays : $B^o \\ra \\pi^+ ( \\rho^+ ) + D^- ( {D^*}^- )$, we determine $a_1$, and from Class III decays : $B^+ \\ra \\pi^+ ( \\rho^+ ) + \\ol{D}^o ( {\\ol{D}^*}^o )$, we determine an allowed domain in the $( a_1, a_2 )$ plane. We find that within one standard deviation errors, the allowed band of $a_1$ from Class I decays is at least three standard deviations removed from the allowed domain $( a_1, a_2 )$ from Class III decays.If we expand the experimental errors to two standard deviations we do find a small intersection between the $a_1$ band and the allowed $( a_1, a_2 )$ domain. The results usually quoted in the literature lie in this intersection. We suggest : (1) an independent measurement of the branching ratio for the Class III decay, $B^+ \\ra \\rho^+ \\ol{D}^o $, (2) a high-statistics measurement of the branching ratio of the Class I decay, $B \\ra \\ol{D} ( \\ol{D}^* ) + D_s ( D_s^* )$ in both charged states, and (3) a measurement of the longitudinal polarization fraction in the Class III decay $B^+ \\ra \\rho^+ {\\ol{D}^*}^o $ to shed more light on the questions involved .", "revisions": [ { "version": "v2", "updated": "1994-06-02T14:37:15.000Z" } ], "analyses": { "keywords": [ "determination", "longitudinal polarization fraction", "branching ratio", "standard deviation errors", "intersection" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 373815 } } }