\begin{document}$ B_{(s)}\to K^*\gamma\to K\pi\gamma $\end{document} decays in the perturbative QCD approach. Two-meson distribution amplitudes are introduced to describe the final state interactions of the \begin{document}$ K\pi $\end{document} pair, which involve time-like form factors and Gegenbauer polynomials. We calculate the CP averaged branching ratios of the \begin{document}$ B_{(s)}\to K^*\gamma\to K\pi\gamma $\end{document} decays. Our results are in agreement with newly updated data measured by Belle II. This suggests that it is more appropriate to analyze these quasi-two-body B decays in the three-body framework than the two-body framework. We also predict direct CP asymmetries for the considered decay modes and find that \begin{document}$ A_{CP}(B_{u,d}\to K^*\gamma\to K\pi\gamma) $\end{document} is small and less than \begin{document}$1$\end{document}% in magnitude, whereas \begin{document}$ A_{CP}(B_{s}\to $\end{document}\begin{document}$ K^*\gamma\to K\pi\gamma) $\end{document} is larger and can reach a few percent. Our predictions can be tested in future B meson experiments."> Quasi-two-body <inline-formula><tex-math id="M1">\begin{document}${{\boldsymbol { B_{\bf (s)}\to} {\boldsymbol K^*\gamma\to} {\boldsymbol K\pi\gamma}}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/bec66ce5-b6e8-401f-bcd7-3783eec9d238/CPC-2022-0313_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/bec66ce5-b6e8-401f-bcd7-3783eec9d238/CPC-2022-0313_M1.png"/></alternatives></inline-formula> decays in the perturbative QCD approach -
  • [1]

    J. P. Leeset al. (BaBar Collaboration), Phys. Rev. D85, 054023 (2012)

  • [2]

    J. P. Leeset al. (BaBar Collaboration), Phys. Rev. D91, 052002 (2015)

  • [3]

    C.-L. Hsuet al. (Belle Collaboration), Phys. Rev. D96, 031101 (2017)

  • [4]

    I. Adachiet al. (Belle Collaboration), Phys. Rev. D100, 011101 (2019)

  • [5]

    Y. Yusaet al. (Belle Collaboration), Phys. Rev. D99, 011102 (2019)

  • [6]

    K. H. Kanget al. (Belle Collaboration), Phys. Rev. D103, 032003 (2021)

  • [7]

    R. Aaij,et al. (LHCb Collaboration), Phys. Rev. Lett.127, 082001 (2021)

  • [8]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D90, 112004 (2014)

  • [9]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.111, 101801 (2013)

  • [10]

    B. Bhattacharya, M. Gronau, and J. L. Rosner, Phys. Lett. B726, 337 (2013)

  • [11]

    M. Gronau, Phys. Lett. B727, 136 (2013)

  • [12]

    M. Gronau and J. L. Rosner, Phys. Rev. D72, 094031 (2005)

  • [13]

    D. Xu, G. N. Li, and X. G. He, Phys. Lett. B728, 579 (2014)

  • [14]

    G. Engelhard and G. Raz, Phys.Rev. D72, 114017 (2005)

  • [15]

    G. Engelhard, Y. Nir, and G. Raz, Phys.Rev. D72, 075013 (2005)

  • [16]

    M. Imbeault and D. London, Phys. Rev. D84, 056002 (2011)

  • [17]

    X. G. He, G. N. Li, and D. Xu, Phys. Rev. D91, 014029 (2015)

  • [18]

    S. H. Zhou, R. H. Li, Z. Y. Weiet al., Phys. Rev. D104, 116012 (2021)

  • [19]

    S. Kränkl, T. Mannel, and J. Virto, Nucl. Phys. B899, 247 (2015)

  • [20]

    H. Y. Cheng, C. K. Chua, and Z. Q. Zhang, Phys. Rev. D94, 094015 (2016)

  • [21]

    Y. Li, Phys. Rev. D89, 094007 (2014)

  • [22]

    H. Y. Cheng, C. K. Chua, and A. Soni, Phys. Rev. D76, 094006 (2007)

  • [23]

    R. Klein, T. Mannel, J. Virtobet al., JHEP10, 117 (2017)

  • [24]

    Z. H. Zhang, X. H. Guo, and Y. D. Yang, Phys. Rev. D87, 076007 (2013)

  • [25]

    C. Wang, J. B. Liu, H. n. Liet al., Phys. Rev. D97, 034033 (2018)

  • [26]

    W. F. Wang, H. C. Hu, H. n. Liet al., Phys. Rev. D89, 074031 (2014)

  • [27]

    W. F. Wang and H. m. Li, Phys. Lett. B763, 29 (2016)

  • [28]

    Z. Rui, Y. Li, and W. F. Wang, Eur. Phys. J. C77, 199 (2017)

  • [29]

    Y. Li, A. J. Ma, and Z. J. Xiao, Phys. Rev. D95, 056008 (2017)

  • [30]

    Z. Rui, Y. Li, and H. n. Li, Phys. Rev. D98, 113003 (2018)

  • [31]

    Y. Li, W. F. Wang, A. J. Maet al., Eur. Phys. J. C79, 37 (2019)

  • [32]

    Z. Q. Zhang and H. x. Guo, Eur. Phys. J. C79, 59 (2019)

  • [33]

    Z. T. Zou, Y. Li, and X. Liu, Eur. Phys. J. C80, 517 (2020)

  • [34]

    Y. Li, D. C. Yan, J. Huaet al., Phys. Rev. D104, 096014 (2021)

  • [35]

    F. Abudin \begin{document}$\acute{e}$\end{document} net al.(Belle Collaboration), arXiv: 2110.08219[hep-ex]

  • [36]

    M. Beneke, T. Feldmann, and D. Seidel, Nucl. Phys. B612, 25 (2001)

  • [37]

    M. Matsumori, A. I. Sanda, and Y. Y. Keum, Phys. Rev. D72, 014013 (2005)

  • [38]

    A. Ali, B. Pacjak, and C. Greub, Eur. Phys. J. C55, 577 (2008)

  • [39]

    C. H. Chen and H. n. Li, Phys. Lett. B561, 258 (2003)

  • [40]

    C. H. Chen and H. n. Li, Phys. Rev. D70, 054006 (2004)

  • [41]

    C. H. Chen and H. n. Li, Phys. Rev. D71, 114008 (2005)

  • [42]

    K. M. Watson, Phys. Rev.88, 1163 (1952)

  • [43]

    G. Breit and E. Wigner, Phys. Rev.49, 519 (1936)

  • [44]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D90, 072003 (2014)

  • [45]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D91, 092002 (2015)

  • [46]

    T. Kurimoto, H. n. Li, and A. I. Sanda, Phys. Rev. D65, 014007 (2002)

  • [47]

    C. D. Lu and M. Z. Yang, Eur. Phys. J. C28, 515 (2003)

  • [48]

    H. n. Li, Y. L. Shen, and Y. M. Wang, JHEP02, 008 (2013)

  • [49]

    G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys.68, 1125 (1996)

  • [50]

    P.A. Zylaet al. (Particle Data Group), Prog. Theor. Exp. Phys.2020, 083C (2020)

  • [51]

    A. Ali, G. Kramer, Y. Liet al., Phys. Rev. D76, 074018 (2007)

  • [52]

    Y. Li, D.C. Yan, Z. Ruicet al., Eur. Phys. J. C81, 806 (2021)

  • [53]

    W. Wang, R. H. Li, and C. D. Lu, arXiv: 0711.0432[hep-ph]

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