\begin{document}$ R(D^{(*)}) $\end{document}, \begin{document}$ R(K^{(*)}) $\end{document} , and \begin{document}$ R(J/\psi) $\end{document}, provided by different collaborations, show sizable deviations from the standard model predictions. To describe these anomalies, many new physics scenarios have been proposed. One of them is the leptoquark model, which introduces the simultaneous coupling of vector and scalar leptoquarks to quarks and leptons. To look for similar possible anomalies in the baryonic sector, we investigate the effects of a vector leptoquark \begin{document}$U_3 (3,3, \frac{2}{3})$\end{document} on various physical quantities related to the tree-level \begin{document}$ \Lambda_b \rightarrow \Lambda_c \ell ~ \overline{\nu}_\ell$\end{document} decays (\begin{document}$ \ell=\mu, ~\tau $\end{document}), which proceed via \begin{document}$ b \rightarrow c~\ell ~ \overline{\nu}_\ell$\end{document} transitions at the quark level. We calculate the differential branching ratio, forward-backward asymmetry, and longitudinal polarizations of leptons and \begin{document}$\Lambda_{c}$\end{document} baryons at the \begin{document}$ \mu $\end{document} and \begin{document}$ \tau $\end{document} lepton channels in the leptoquark model and compare their behavior to the predictions of the SM in terms of \begin{document}$ q^2 $\end{document}. In the calculations, we use the form factors calculated in full QCD as the main input and account for all errors coming from the form factors and model parameters. We observe that at the \begin{document}$ \tau $\end{document} channel, the \begin{document}$ R_A $\end{document} fit solution to data related to the leptoquark model sweeps some regions out of the SM band; nevertheless, the fit has a considerable intersection with the SM predictions. The \begin{document}$ R_B$\end{document} type solution gives roughly the same results as the SM on \begin{document}$ DBR(q^2)-q^2$\end{document}. At the \begin{document}$ \mu $\end{document} channel, the leptoquark model gives results that are consistent with the SM predictions and existing experimental data on the behavior of \begin{document}$ DBR(q^2)$\end{document} with respect to \begin{document}$ q^2 $\end{document}. Concerning the \begin{document}$ q^2 $\end{document} behavior of the \begin{document}$ A_{FB}(q^2) $\end{document} , the two types of fits for \begin{document}$ \tau $\end{document} and the predictions at the \begin{document}$ \mu $\end{document} channel in the leptoquark model give exactly the same results as the SM. We also investigate the behavior of the parameter \begin{document}$ R(q^2) $\end{document} with respect to \begin{document}$ q^2 $\end{document} and the value of \begin{document}$ R(\Lambda_c) $\end{document} in both the vector leptoquark and SM models. Both fit solutions lead to results that deviate considerably from the SM predictions for \begin{document}$R(q^2)- q^2 $\end{document} and \begin{document}$ R(\Lambda_c) $\end{document}. Future experimental data on \begin{document}$R(q^2)- q^2 $\end{document} and \begin{document}$ R(\Lambda_c) $\end{document}, made available by measurements of the \begin{document}$ \Lambda_b \rightarrow \Lambda_c \tau ~ \overline{\nu}_\tau$\end{document} channel, will be particularly helpful. Any experimental deviations from the SM predictions in this channel would emphasize the importance of tree-level hadronic weak transitions as good probes of new physics effects beyond the SM."> Effects of vector leptoquarks on <inline-formula><tex-math id="M1-1">\begin{document}${\Lambda_b \rightarrow \Lambda_c \ell\, \overline{\nu}_\ell} $\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/045c5165-ddcb-421a-b74b-0268aed6f68b/CPC-2020-0423_M1-1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/045c5165-ddcb-421a-b74b-0268aed6f68b/CPC-2020-0423_M1-1.png"/></alternatives></inline-formula> decay -
  • [1]

    Y. S. Amhiset al.[HFLAV Collaboration], arXiv: 1909.12524[hep-ex]

  • [2]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. Lett.113, 151601 (2014), arXiv:1406.6482[hep-ex

  • [3]

    R. Aaijet al. [LHCb Collaboration], JHEP1708, 055 (2017), arXiv:1705.05802[hep-ex

  • [4]

    M. Bordone, G. Isidori, and A. Pattori, Eur. Phys. J. C76(8), 440 (2016), arXiv:1605.07633[hep-ph

  • [5]

    S. Descotes-Genon, L. Hofer, J. Matiaset al., JHEP1606, 092 (2016), arXiv:1510.04239[hep-ph

  • [6]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. Lett.120(12), 121801 (2018), arXiv:1711.05623[hep-ex

  • [7]

    T. D. Cohen, H. Lamm, and R. F. Lebed, JHEP1809, 168 (2018), arXiv:1807.02730[hep-ph

  • [8]

    Z. Rui, H. Li, G. x. Wanget al., Eur. Phys. J. C76(10), 564 (2016), arXiv:1602.08918[hep-ph

  • [9]

    R. Dutta and A. Bhol, Phys. Rev. D96(7), 076001 (2017), arXiv:1701.08598[hepph

  • [10]

    D. Leljak, B. Melic, and M. Patra, JHEP1905, 094 (2019), arXiv:1901.08368[hep-ph

  • [11]

    C. W. Murphy and A. Soni, Phys. Rev. D98(9), 094026 (2018), arXiv:1808.05932[hep-ph

  • [12]

    W. F. Wang, Y. Y. Fan, and Z. J. Xiao, Chin. Phys. C37, 093102 (2013), arXiv:1212.5903[hep-ph

  • [13]

    K. Azizi, Y. Sarac, and H. Sundu, Phys. Rev. D99(11), 113004 (2019), arXiv:1904.08267[hep-ph

  • [14]

    A. Issadykov and M. A. Ivanov, Phys. Lett. B783, 178 (2018), arXiv:1804.00472[hep-ph

  • [15]

    T. Huang and F. Zuo, Eur. Phys. J. C51, 833 (2007)

  • [16]

    V. V. Kiselev, hep-ph/0211021

  • [17]

    M. A. Ivanov, J. G. Korner, and P. Santorelli, Phys. Rev. D73, 054024 (2006)

  • [18]

    W. Wang, Y. L. Shen, and C. D. Lu, Phys. Rev. D79, 054012 (2009), arXiv:0811.3748[hep-ph

  • [19]

    X. Q. Hu, S. P. Jin, and Z. J. Xiao, arXiv: 1904.07530[hep-ph]

  • [20]

    Z. R. Huang, Y. Li, C. D. Luet al., Phys. Rev. D98(9), 095018 (2018), arXiv:1808.03565[hep-ph

  • [21]

    A. Berns and H. Lamm, JHEP1812, 114 (2018), arXiv:1808.07360[hep-ph

  • [22]

    M. Blanke, A. Crivellin, T. Kitaharaet al., Phys. Rev. D100(3), 035035 (2019), arXiv:1905.08253[hep-ph

  • [23]

    K. Azizi and J. Y. Sungu, Phys. Rev. D97(7), 074007 (2018), arXiv:1803.02085[hep-ph

  • [24]

    W. Buchmuller, R. Ruckl, and D. Wyler, Phys. Lett. B191,442(1987) Erratum: [Phys. Lett. B448,320(1999)]

  • [25]

    I. Dorner, S. Fajfer, A. Greljoet al., Phys. Rept.641, 1 (2016), arXiv:1603.04993[hep-ph

  • [26]

    B. Schrempp and F. Schrempp, Phys. Lett. B153, 101 (1985)

  • [27]

    J. Wudka, Phys. Lett. B167, 337 (1986)

  • [28]

    J. C. Pati and A. Salam, Phys. Rev. D10(1974) 275 Erratum: [Phys. Rev. D11(1975) 703]

  • [29]

    H. Georgi and S. L. Glashow, Phys. Rev. Lett.32, 438 (1974)

  • [30]

    H. Georgi, AIP Conf. Proc.23, 575 (1975)

  • [31]

    A. Angelescu, D. Beirevi, D. A. Faroughyet al., JHEP1810, 183 (2018), arXiv:1808.08179[hep-ph

  • [32]

    J. Zhang, J. Su, and Q. Zeng, Nucl. Phys. B938, 131 (2019)

  • [33]

    S. Fajfer and N. Konik, Phys. Lett. B755, 270 (2016), arXiv:1511.06024[hep-ph

  • [34]

    X. Q. Li, Y. D. Yang, and X. Zhang, JHEP1702, 068 (2017), arXiv:1611.01635[hep-ph

  • [35]

    J. Zhang, C. X. Yue, C. H. Liet al., arXiv: 1905.04074[hep-ph]

  • [36]

    S. Sahoo and R. Mohanta, J. Phys. G45(8), 085003 (2018), arXiv:1806.01048[hep-ph

  • [37]

    N. Assad, B. Fornal, and B. Grinstein, Phys. Lett. B777, 324 (2018), arXiv:1708.06350[hep-ph

  • [38]

    M. Blanke and A. Crivellin, Phys. Rev. Lett.121(1), 011801 (2018), arXiv:1801.07256[hep-ph

  • [39]

    L. Calibbi, A. Crivellin, and T. Li, Phys. Rev. D98(11), 115002 (2018), arXiv:1709.00692[hep-ph

  • [40]

    S. Sahoo, R. Mohanta, and A. K. Giri, Phys. Rev. D95(3), 035027 (2017), arXiv:1609.04367[hepph

  • [41]

    A. Kadeer, J. G. Korner, and U. Moosbrugger, Eur. Phys. J. C59, 2747 (2009)

  • [42]

    P. Bialas, J. G. Korner, M. Krameret al., Z. Phys. C57, 115134 (1993)

  • [43]

    R. Aaijet al. [LHCb], Phys. Lett. B724, 27-35 (2013), arXiv:1302.5578[hep-ex

  • [44]

    M. Freytsis, Z. Ligeti, and J. T. Ruderman, Phys. Rev. D92(5), 054018 (2015), arXiv:1506.08896[hep-ph

  • [45]

    X. Mu, Y. Li, Z. Zouet al., Phys. Rev. D100(11), 113004 (2019), arXiv:1909.10769[hep-ph

  • [46]

    S. Chatrchyanet al. [CMS Collaboration], Phys. Rev. Lett.110(8), 081801 (2013), arXiv:1210.5629[hep-ex

  • [47]

    A. M. Sirunyanet al. [CMS Collaboration], J. High Energy Phys.1807, 115 (2018)

  • [48]

    T. Gutsche, M. A. Ivanov, J. G. Krneret al., Phys. Rev. D91(7), 074001(2015) Erratum: [Phys. Rev. D91(11),119907(2015)] [arXiv: 1502.04864[hep-ph]]

  • [49]

    S. Shivashankara, W. Wu, and A. Datta, Phys. Rev. D91(11), 115003 (2015), arXiv:1502.07230[hep-ph

  • [50]

    R. Dutta, Phys. Rev. D93(5), 054003 (2016), arXiv:1512.04034[hep-ph

  • [51]

    Q. Y. Hu, X. Q. Li, and Y. D. Yang, Eur. Phys. J. C79(3), 264 (2019), arXiv:1810.04939[hep-ph

  • [52]

    C. Patrignaniet al. [Particle Data Group], Phys. Rev. D98, 030001(2018) and 2019 update

  • [53]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. D96(11), 112005 (2017), arXiv:1709.01920[hep-ex

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