{ "id": "2210.08522", "version": "v1", "published": "2022-10-16T12:50:24.000Z", "updated": "2022-10-16T12:50:24.000Z", "title": "Analysis of CKM-Favored Quasi-Two-Body $B \\to D (R\\to) K π$ Decays in PQCD Approach", "authors": [ "Zhi-Tian Zou", "Wen-Sheng Fang", "Xin Liu", "Ying Li" ], "comment": "18 pages, 1 figures", "categories": [ "hep-ph", "hep-ex" ], "abstract": "LHCb Collaboration studied the resonant structure of $B_s\\to \\overline{D}^0K^-\\pi^+$ decays using the Dalitz plot analysis technique, based on a data sample corresponding to an integrated luminosity of $3.0{\\rm fb}^{-1}$ of $pp$ collision. The $K^-\\pi^+$ components have been analyzed in the amplitude model, where the decay amplitude is modeled to be the resonant contributions with respect to the intermediate resonances $K^*(892)$, $K_0^*(1430)$ and $K_2^*(1430)$. Motivated by the experimental results, we investigate the color-favored quasi-two-body $B \\to \\overline{D}^0K\\pi$ decays in the framework of the perturbative QCD (PQCD) approach. We calculate the the branching fractions by introducing the appropriate wave functions of $K\\pi$ pair. Our results are in agreement well the available data, and others can be tested in LHCb and Belle-II experiments. Using the narrow-width-approximation, we also extract the branching fractions of the corresponding two-body $B\\to \\overline D R$ decays, which agree to the previous theoretical calculations and the experimental data within the errors. There are no $CP$ asymmetries in these decays in the standard model, because these decays are all governed by only the tree operators.", "revisions": [ { "version": "v1", "updated": "2022-10-16T12:50:24.000Z" } ], "analyses": { "keywords": [ "pqcd approach", "ckm-favored quasi-two-body", "dalitz plot analysis technique", "appropriate wave functions", "branching fractions" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }