{ "id": "1605.01629", "version": "v1", "published": "2016-05-05T15:48:59.000Z", "updated": "2016-05-05T15:48:59.000Z", "title": "Study of nonleptonic $B_{q}^{\\ast}$ ${\\to}$ $D_{q}V$ and $P_{q} D^*$ weak decays", "authors": [ "Qin Chang", "Xiaohui Hu", "Junfeng Sun", "Xiaolin Wang", "Yueling Yang" ], "comment": "15 pages, 3 tables; the version published in Adv. High Energy Phys", "journal": "Adv.High Energy Phys. 2015 (2015) 767523", "doi": "10.1155/2015/767523", "categories": [ "hep-ph", "hep-ex" ], "abstract": "Motivated by the powerful capability of measurement for the $b$-flavored hadron rare decays at LHC and SuperKEKB/Belle-II, the nonleptonic $\\bar{B}^{\\ast}$ ${\\to}$ $D\\bar{D}^{\\ast}$, $D{\\rho^-}$, $DK^{\\ast-}$, ${\\pi}D^{\\ast}$ and $KD^{\\ast}$ weak decays are studied in detail. With the amplitudes calculated with factorization approach and the form factors of $B^{\\ast}$ transition into pseudoscalar meson evaluated with the BSW model, branching fractions and polarization fractions are firstly presented. Numerically, the CKM-favored $\\bar{B}_{q}^{\\ast}$ ${\\to}$ $D_{q}D_{s}^{{\\ast}-}$ and $D_{q}{\\rho}^{-}$ decays have large branching fractions, $\\sim$ $10^{-8}$, which should be sought for with priority and firstly observed by LHC and Belle-II experiments. The $\\bar{B}^{\\ast}_q$ ${\\to}$ $D_qK^{\\ast}$ and $D_q{\\rho}$ decays are dominated by the longitudinal polarization states. While, the parallel polarization fractions of $\\bar{B}^{\\ast}_q$ ${\\to}$ $D_q\\bar{D}^{\\ast}$ decays are comparable with the longitudinal ones, numerically, $f_{\\parallel}$ $+$ $f_{L}$ ${\\simeq}$ 95\\% and $f_{L}:f_{\\parallel}$ $\\simeq$ $5:4$. Some comparisons between $\\bar{B}^{*0}_q$ $\\to$ $D_q V$ and their corresponding $\\bar{B}^{0}_q$ $\\to$ $D^*_q V$ decays are performed, and the relation $ f_{L,\\parallel}(\\bar{B}^{\\ast 0}\\to D V)\\simeq f_{L,\\parallel}(\\bar{B}^0\\to D^{\\ast +} V^-) $ is presented. Besides, with the implication of $SU(3)$ flavor symmetry, some useful ratios $ R_{\\rm du}$ and $ R_{\\rm ds}$ are discussed in detail, and suggested to be verified experimentally.", "revisions": [ { "version": "v1", "updated": "2016-05-05T15:48:59.000Z" } ], "analyses": { "keywords": [ "weak decays", "nonleptonic", "flavored hadron rare decays", "longitudinal polarization states", "parallel polarization fractions" ], "tags": [ "journal article" ], "publication": { "publisher": "Hindawi", "journal": "Adv. High Energ. Phys." }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1415370 } } }