{ "id": "hep-ph/0509362", "version": "v3", "published": "2005-09-30T06:25:58.000Z", "updated": "2006-03-03T03:35:55.000Z", "title": "Branching Ratio and CP Asymmetry of $B \\to ρη^{(\\prime)}$ Decays in the Perturbative QCD Approach", "authors": [ "Xin Liu", "Huisheng Wang", "Zhenjun Xiao", "Libo Guo", "Caidian Lü" ], "comment": "29 pages, 9 ps figures, more phenomenological discussions added, scale dependence of computed observables are considered, typos corrected, the figures and conclusions remain unchanged", "journal": "Phys.Rev. D73 (2006) 074002", "doi": "10.1103/PhysRevD.73.074002", "categories": [ "hep-ph", "hep-ex" ], "abstract": "In this paper,we calculate the branching ratios and CP-violating asymmetries for $B^0 \\to \\rho^0 \\eta^{(\\prime)}$ and $B^+\\to \\rho^+ \\etap$ decays in the perturbative QCD factorization approach. In this approach, we not only calculate the usual factorizable contributions, but also evaluate the non-factorizable and annihilation type contributions. Besides the current-current operators, the contributions from the QCD and electroweak penguin operators are also taken into account. The theoretical predictions for the branching ratios are $Br(B^+ \\to \\rho^+ \\eta^{(\\prime)}) \\approx 9 \\times 10^{-6}$ and $Br(B^0 \\to \\rho^0 \\eta^{(\\prime)}) \\approx 5 \\times 10^{-8}$, which agree well with the measured values and currently available experimental upper limits. We also predict large CP-violating asymmetries in these decays: $A_{CP}^{dir}(\\rho^\\pm \\eta)\\approx -13 %$, $A_{CP}^{dir}(\\rho^\\pm \\eta^\\prime)\\approx -18 %$, $A_{CP}^{dir}(\\rho^0 \\eta)\\approx -41%$, $A_{CP}^{dir}(\\rho^0 \\eta^\\prime)\\approx -27%$, $A_{CP}^{mix}(\\rho^0 \\eta)\\approx +25%$, and $A_{CP}^{mix}(\\rho^0 \\eta^\\prime) \\approx +11%$, which can be tested by the current or future B factory experiments.", "revisions": [ { "version": "v3", "updated": "2006-03-03T03:35:55.000Z" } ], "analyses": { "subjects": [ "12.38.Bx", "13.25.Hw", "14.40.Nd" ], "keywords": [ "branching ratio", "perturbative qcd approach", "cp asymmetry", "perturbative qcd factorization approach", "annihilation type contributions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "inspire": 693757 } } }