{ "id": "1702.01704", "version": "v1", "published": "2017-02-06T16:55:27.000Z", "updated": "2017-02-06T16:55:27.000Z", "title": "Evaluation of CKM matrix elements from exclusive $P_{\\ell 4}$ decays", "authors": [ "C. S. Kim", "G. López Castro", "S. L. Tostado" ], "comment": "13 pages, 2 tables, 5 figures", "categories": [ "hep-ph" ], "abstract": "We consider the exclusive $P_{\\ell 4}$ decays, $P\\to (P_1P_2)_V\\ell \\nu_{\\ell}$, where the subindex $V$ means that the invariant mass of the pseudoscalar pair is taken within a small window around the mass of the vector meson $V$. Pole contributions beyond the dominant $P\\to V(\\to P_1P_2)\\ell\\nu_{\\ell}$ amplitude of $P_{\\ell 4}$ decays are identified, which, in turn, affects the determination of the CKM matrix elements $|V_{qq'}|$. We evaluate the effects of those contributions in the extraction of bottom and charm quark mixings. An application to $B\\to (\\pi\\pi)_{\\rho}\\ell \\nu_{\\ell}$ data from Belle collaboration, shows an increase in the extracted value of $|V_{ub}|$ in better agreement with determinations based on $B\\to \\pi\\ell\\nu_{\\ell}$ decays. The effect of the $\\rho$ and $D^*$ pole contributions in the determination of $|V_{cd}|$ from the decay, $D\\to \\pi\\pi \\ell^- \\bar{\\nu}_{\\ell}$, has been also investigated.", "revisions": [ { "version": "v1", "updated": "2017-02-06T16:55:27.000Z" } ], "analyses": { "keywords": [ "ckm matrix elements", "evaluation", "pole contributions", "determination", "charm quark mixings" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }