\begin{document}$ B/B_s \to (D^{(*)},D_s^{(*)}) l\nu_l $\end{document} decays in the framework of the Standard Model (SM), by employing the perturbative QCD (PQCD) factorization formalism combined with the lattice QCD input for the relevant transition form factors. We calculate the branching ratios \begin{document}$ {\cal B}(B_{(s)} \to D_{(s)}^{(*)} l \nu_l ) $\end{document} with \begin{document}$ l = (e,\mu,\tau) $\end{document}, the ratios of the branching fractions \begin{document}$ R(D^{(*)}) $\end{document} and \begin{document}$ R(D_s^{(*)} ) $\end{document}, and the physical observables \begin{document}$ P_\tau(D_{(s)}^{(*)}) $\end{document}, \begin{document}$ F_L(D^*_{(s)}) $\end{document} and \begin{document}$ A_{FB}(\tau) $\end{document}. The “PQCD+Lattice” predictions for \begin{document}$ {\cal B}(B \to D^{(*)} l\nu_l) $\end{document} and \begin{document}$ R(D^{(*)}) $\end{document} agree with the available experimental measurements within errors. For the ratios \begin{document}$ R(D_s) $\end{document} and \begin{document}$ R(D_s^*) $\end{document}, the "PQCD+Lattice" predictions agree with the other predictions. For \begin{document}$ P_\tau(D^*) $\end{document} and \begin{document}$ F_L(D^*) $\end{document}, our theoretical predictions agree with the measured values within errors. Our theoretical predictions of the semileptonic \begin{document}$ B/B_s $\end{document} decays considered could be tested in the near future by the LHCb and Belle II experiments."> Semileptonic decays <inline-formula><tex-math id="M1">\begin{document}$ {{B/B_s \to (D^{(*)},D_s^{(*)}) l \nu_l}} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/d615ccc8-e5c2-4a21-b9e9-004f297a5811/CPC-2019-0447_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/d615ccc8-e5c2-4a21-b9e9-004f297a5811/CPC-2019-0447_M1.png"/></alternatives></inline-formula> in the PQCD approach with the lattice QCD input -
  • [1]

    J. P. Leeset al. (BABAR Collaboration), Phys. Rev. Lett.,109: 101802 (2012)

  • [2]

    J. P. Leeset al. (BABAR Collaboration), Phys. Rev. D,88: 072012 (2013)

  • [3]

    D. Bigi and P. Gambino, Phys. Rev. D,94: 094008 (2016)

  • [4]

    F. U. Bernlochner, Z. Ligeti, M. Papucciet al., Phys. Rev. D,95: 115008 (2017)

  • [5]

    S. Jaiswal, S. Nandi, and S.K. Patra, JHEP,1712: 060 (2017)

  • [6]

    D. Bigi, P. Gambino, and S. Schacht, JHEP,1711: 061 (2017)

  • [7]

    J. A. Baileyet al. (Fermilab Lattice and MILC Collaborations), Phys. Rev. D,92: 034506 (2015)

  • [8]

    H. Naet al. (HPQCD Collaboration), Phys. Rev. D,92: 054510 (2015)

  • [9]

    Y. Y. Fan, W. F. Wang, S. Chenget al., Chin. Sci. Bull.,59: 125 (2014)

  • [10]

    Y. Y. Fan, Z. J. Xiao, R. M. Wanget al., Sci. Bull.,60: 2009 (2015)

  • [11]

    S. Fajfer, J. F. Kamenik, and I. Nisandzic, Phys. Rev. D,85: 094025 (2012)

  • [12]

    A. Datta, M. Duraisamy, and D. Ghosh, Phys. Rev. D,86: 034027 (2012)

  • [13]

    Y. Sakaki, M. Tanaka, A. Tayduganovet al., Phys. Rev. D,91: 114028 (2015)

  • [14]

    M. Freytsis, Z. Ligeti, and J. T. Ruderman, Phys. Rev. D,92: 054018 (2015)

  • [15]

    S. Bhattacharya, S. Nandi, and S. K. Patra, Phys. Rev. D,93: 034011 (2016)

  • [16]

    X.-Q. Li, Y.-D. Jang, and X. Zhang, JHEP,1608: 054 (2016)

  • [17]

    D. Bardhan, P. Byakti, and D. Ghosh, JHEP,1701: 125 (2017)

  • [18]

    A. Celis, M. Jung, X.-Q. Liet al., Phys. Lett. B,771: 168 (2017)

  • [19]

    M. Huschleet al. (Belle Collaboration), Phys. Rev. D,92: 072014 (2015)

  • [20]

    S. Hiroseet al. (Belle Collaboration), Phys. Rev. Lett.,118: 211801 (2017)

  • [21]

    S. Hiroseet al. (Belle Collaboration), Phys. Rev. D,97: 012004 (2018)

  • [22]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.,120: 171802 (2018)

  • [23]

    A. Abdesselamet al.(Belle Collaboration), arxiv: 1904.08794[hep-ex]

  • [24]

    G. Cariaet al.(Belle Collaboration), arxiv: 1910.05864[hep-ex]

  • [25]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D,97: 072013 (2018)

  • [26]

    G. Cariaet al.(Belle Collaboration), talk given at 54th Rencontres de Moriond, EW, Mar. 22, 2019

  • [27]

    A. Hicheur (LHCb Collaboration), arXiv: 1910.13121[hep-ex]

  • [28]

    Y. Amhiset al. (HFLAV Collaboration), Eur. Phys. J. C,77: 895 (2017)

  • [29]

    Y. Amhiset al.(HFLAV Collaboration), arXiv: 1909.12524[hep-ex]; and references therein

  • [30]

    A. Abdesselamet al.(Belle Collaboration), arXiv: 1903. 03102[hep-ex]

  • [31]

    M. Tanaka and R. Watanabe, Phys. Rev. D,87: 034028 (2013)

  • [32]

    Z. R. Huang, Y. Li, C. D. Lüet al., Phys. Rev. D,98: 095018 (2018)

  • [33]

    S. Bhattacharya, S. Nandi, and S. K. Patra, Eur. Phys. J. C,79: 268 (2019)

  • [34]

    S. Faller, A. Khodjamirian, Ch. Kleinet al., Eur. Phys. J. C,60: 603 (2009)

  • [35]

    Y. M. Wang, Y. B. Wei, Y. L. Shenet al., JHEP,1706: 062 (2017)

  • [36]

    Y. Zhang, T. Zhong, X. G. Wuet al., Eur. Phys. J. C,78: 76 (2018)

  • [37]

    T. Bhattacharyaet al.(LANL/SWME Collaboration), arXiv: 1812.07675

  • [38]

    Jon A. Baileyet al. (LANL-SWME Collaboration), EPJ Web Conf.,175: 13012 (2018)

  • [39]

    T. Kanekoet al.(JLQCD Collaboration), arXiv: 1811.00794

  • [40]

    C. J. Monahan, C. M. Bouchard, G. P. Lepageet al. (HPQCD Collaboration), Phys. Rev. D,98: 114509 (2018)

  • [41]

    Judd Harrisonet al. (HPQCD Collaboration), Phys. Rev. D,97: 054502 (2018)

  • [42]

    Y. Y. Fan, W. F. Wang ,and Z. J. Xiao, Phys. Rev. D,89: 014030 (2014)

  • [43]

    W. F. Wang and Z. J. Xiao, Phys. Rev. D,86: 114025 (2012)

  • [44]

    W. M. Wang, M. Liu, and Z. J. Xiao, Phys. Rev. D,87: 097501 (2013)

  • [45]

    Z. J. Xiao, Y. Y. Fan, W. F. Wanget al., Chin. Sci. Bull.,59: 3787 (2014)

  • [46]

    W .F. Wang, Y. Y. Fan, and Z. J. Xiao, Chin. Phys. C,37: 093102 (2013)

  • [47]

    W. F. Wang, X. Yu, C. D. Lüet al., Phys. Rev. D,90: 094018 (2014)

  • [48]

    X. Q. Hu, S. P. Jin, and Z. J. Xiao, Chin. Phys. C,44: 023104 (2020)

  • [49]

    C. Bourrely, I. Caprini, and L. Lellouch, Phys. Rev. D,79: 013008 (2009)

  • [50]

    D. Leljak, B. Melic, and M. Patra, JHEP,05: 094 (2019)

  • [51]

    T. Kurimoto, H. N. Li, and A. I. Sanda, Phys. Rev. D,67: 054028 (2003)

  • [52]

    Z. J. Xiao, W. F. Wang, and Y. Y. Fan, Phys. Rev. D,85: 094003 (2012)

  • [53]

    R. H. Li, C. D. Lü, and H. Zou, Phys. Rev. D,78: 014018 (2008)

  • [54]

    M. Beneke and Th. Feldmann, Nucl. Phys. B,592: 3 (2001)

  • [55]

    Jon A. Baileyet al. (Fermilab Lattice and MILC Collaborations), Phys. Rev. D,89: 114504 (2014)

  • [56]

    Jon A. Baileyet al. (Fermilab Lattice and MILC Collaborations), Phys. Rev. D,85: 114502 (2012)

  • [57]

    M. Atoui, V. Morenas, D. Becirevicet al., Eur. Phys. J. C,74: 2861 (2014)

  • [58]

    W. Wang, Y. L. Shen, and C. D. Lü, Phys. Rev. D,79: 054012 (2009)

  • [59]

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

  • [60]

    R. H. Li, C. D. Lü, W. Wanget al., Phys. Rev. D,79: 014013 (2009)

  • [61]

    M. A. Ivanov, Jurgen G. Korner, and C. T. Tran, Phys. Rev. D,92: 114022 (2015)

  • [62]

    M. A. Ivanov, Jurgen G. Korneret al., Phys. Rev. D,95: 036021 (2017)

  • [63]

    M. Tanaka and R. Watanabe, Phys. Rev. D,82: 034027 (2010)

  • [64]

    Y. Sakaki, R. Watanabe, M. Tanaka, A. Tayduganov, Phys. Rev. D,88: 094012 (2013)

  • [65]

    M. Tanabashiet al. (Particle Data Group), Phys. Rev. D,98: 030001 (2018)

  • [66]

    V. Lubiczet al. (ETM Collaboration), Phys. Rev. D,96: 034524 (2017)

  • [67]

    X. J. Chen, H. F. Fu, C. S. Kimet al., J. Phys. G,39: 045002 (2012)

  • [68]

    R.N. Faustov and V.O. Galkin, Phys. Rev. D,87: 034033 (2013)

  • [69]

    R. H. Li, C. D. Lu, and Y. M. Wang, Phys. Rev. D,80: 014005 (2009)

  • [70]

    G. Li, F. L. Shao, and W. Wang, Phys. Rev. D,82: 094031 (2010)

  • [71]

    S. M. Zhao, X. Liu, and S. J. Li, Eur. Phys. J. C,51: 601 (2007)

  • [72]

    K. Azizi and M. Bayar, Phys. Rev. D,78: 054011 (2008); K. Azizi, Nucl. Phys. B,801: 70 (2008)

  • [73]

    R. Dutta and N. Rajeev, Phys. Rev. D,97: 095045 (2018)

  • [74]

    T. Kurimoto, H. N. Li, and A. I. Sanda, Phys. Rev. D,65: 014007 (2001)

  • [75]

    C. D. Lü, K. Ukai, and M. Z. Yang, Phys. Rev. D,63: 074009 (2001)

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