\begin{document}$ (b\rightarrow c\tau\overline{\nu}_{\tau}) $\end{document}transitions by BABAR, Belle, and LHCb have revealed some significant differences from the corresponding Standard Model (SM) predictions. This has triggered an interest to search for physics beyond the SM in the context of various new physics (NP) models and using the model-independent weak effective Hamiltonian (WEH). Assuming left-handed neutrinos, we add the dimension-six vector, (pseudo-)scalar, and tensor operators with complex Wilson coefficients (WCs) to the SM WEH. Using 60%, 30%, and 10% constraints resulting from the branching ratio of \begin{document}$ B_{c}\to\tau\bar{\nu}_{\tau} $\end{document}, we reassess the parametric space of these new physics WCs accommodating the current anomalies based on the most recent HFLAV data of \begin{document}$ R_{\tau/{\mu,e}}\left(D\right) $\end{document} and \begin{document}$ R_{\tau/{\mu,e}}\left(D^*\right) $\end{document} and Belle data of \begin{document}$ F_{L}\left(D^*\right) $\end{document} and \begin{document}$ P_{\tau}\left(D^*\right) $\end{document}. We find that the allowed parametric region of left-handed scalar couplings strongly depends on the constraints of the \begin{document}$ B_{c}\rightarrow \tau\bar{\nu}_{\tau} $\end{document} branching ratio, and the maximum pull from the SM predictions results from the <60% branching ratio limit. Also, the parametric region changes significantly if we extend the analysis by adding LHCb data of \begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} and \begin{document}$ R_{\tau/\ell}\left(\Lambda_c\right) $\end{document}. Furthermore, due to the large uncertainties in the measurements of \begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} and \begin{document}$ R_{\tau/\ell}\left(X_c\right) $\end{document}, we derive the sum rules which complement them with \begin{document}$ R_{\tau/{\mu,e}}\left(D\right) $\end{document} and \begin{document}$ R_{\tau/{\mu,e}}\left(D^*\right) $\end{document}. Using the best-fit points of the new complex WCs along with the latest measurements of \begin{document}$ R_{\tau/{\mu,e}}\left(D^{(*)}\right) $\end{document}, we predict the numerical values of the observable \begin{document}$ R_{\tau/\ell}\left(\Lambda_c\right) $\end{document}, \begin{document}$ R_{\tau/\mu}\left(J/\psi\right) $\end{document} , and \begin{document}$ R_{\tau/\ell}\left(X_c\right) $\end{document} from the sum rules. The simultaneous dependence of abovementioned physical observables on the NP WCs is established by plotting their correlation with \begin{document}$ R_{D} $\end{document} and \begin{document}$ R_{D^*} $\end{document}, which are useful to discriminate between various NP scenarios. We find that the most significant impact of NP results from the WC \begin{document}$ C_{L}^{S}=4C^{T} $\end{document}. Finally, we study the impact of these NP couplings on various angular and \begin{document}$ CP $\end{document} triple product asymmetries that could be measured in some ongoing and future experiments. The precise measurements of these observables are important to check the SM and extract the possible NP."> Analysis of <inline-formula><tex-math id="M1">\begin{document}${{\boldsymbol b}{\bf\rightarrow} {\boldsymbol c}{\boldsymbol\tau}\bar{\boldsymbol\nu}_{\boldsymbol\tau}}$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/0aeaf10f-66de-493f-863e-6c975404ce2b/CPC-2024-0095_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/0aeaf10f-66de-493f-863e-6c975404ce2b/CPC-2024-0095_M1.png"/></alternatives></inline-formula> anomalies using weak effective Hamiltonian with complex couplings and their impact on various physical observables -
  • [1]

    R. Aaijet al. (LHCb Collaboration), JHEP06, 133 (2014), arXiv:1403.8044[hep-ex]

  • [2]

    R. Aaijet al. (LHCb Collaboration), JHEP05, 082 (2014), arXiv:1403.8045[hep-ex]

  • [3]

    R. Aaijet al. (LHCb Collaboration), JHEP09, 179 (2015), arXiv:1506.08777[hep-ex]

  • [4]

    R. Aaijet al. (LHCb Collaboration), JHEP02, 104 (2016), arXiv:1512.04442[hep-ex]

  • [5]

    R. Aaijet al.(LHCb Collaboration), JHEP11, 047 (2016), [Erratum: JHEP 04, 142 (2017)], arXiv: 1606.04731

  • [6]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.127(15), 151801 (2021), arXiv:2105.14007[hep-ex]

  • [7]

    R. Aaijet al. (LHCb Collaboration), JHEP11, 043 (2021), arXiv:2107.13428[hep-ex]

  • [8]

    A. Celis, J. Fuentes-Martin, A. Vicenteet al., Phys. Rev. D96(3), 035026 (2017), arXiv:1704.05672[hep-ph]

  • [9]

    D. Buttazzo, A. Greljo, G. Isidoriet al., JHEP11, 044 (2017), arXiv:1706.07808[hep-ph]

  • [10]

    J. Aebischer, W. Altmannshofer, D. Guadagnoliet al., Eur. Phys. J. C80(3), 252 (2020), arXiv:1903.10434[hep-ph]

  • [11]

    L. Alasfar, A. Azatov, J. de Blaset al., JHEP12, 016 (2020), arXiv:2007.04400[hep-ph]

  • [12]

    G. Isidori, D. Lancierini, A. Mathadet al., Phys. Lett. B830, 137151 (2022), arXiv:2110.09882[hep-ph]

  • [13]

    M. Ciuchini, M. Fedele, E. Francoet al., Phys. Rev. D107(5), 055036 (2023), arXiv:2212.10516[hep-ph]

  • [14]

    J. A. Baileyet al., Phys. Rev. D92(3), 034506 (2015), arXiv:1503.07237[hep-lat]

  • [15]

    H. Naet al. (HPQCD Collaboration), Phys. Rev. D92, 054510 (2015), [Erratum: Phys. Rev. D 93, 119906 (2016)], arXiv: 1505.03925 [hep-lat]

  • [16]

    S. Aoki, Y. Aoki, D. Becirevicet al., Eur. Phys. J. C77(2), 112 (2017), arXiv:1607.00299[hep-lat]

  • [17]

    S. Fajfer, J. F. Kamenik, and I. Nisandzic, Phys. Rev. D85, 094025 (2012), arXiv:1203.2654[hep-ph]

  • [18]

    D. Bigi and P. Gambino, Phys. Rev. D94(9), 094008 (2016), arXiv:1606.08030[hep-ph]

  • [19]

    F. U. Bernlochner, Z. Ligeti, M. Papucciet al. Phys. Rev. D95, 115008 (2017), [Erratum: Phys. Rev. D 97, 059902 (2018)], arXiv: 1703.05330[hep-ph]

  • [20]

    D. Bigi, P. Gambino, and S. Schacht, JHEP11, 061 (2017), arXiv:1707.09509[hep-ph]

  • [21]

    S. Jaiswal, S. Nandi, and S. K. Patra, JHEP12, 060 (2017), arXiv:1707.09977[hep-ph]

  • [22]

    P. Gambino, M. Jung, and S. Schacht, Phys. Lett. B795, 386 (2019), arXiv:1905.08209[hep-ph]

  • [23]

    M. Bordone, M. Jung, and D. van Dyk, Eur. Phys. J. C80(2), 74 (2020), arXiv:1908.09398[hep-ph]

  • [24]

    G. Martinelli, S. Simula, and L. Vittorio, Phys. Rev. D105(3), 034503 (2022), arXiv:2105.08674[hep-ph]

  • [25]

    J. P. Leeset al., Phys. Rev. Lett.109, 101802 (2012), arXiv:1205.5442[hep-ex]

  • [26]

    J. P. Leeset al., Phys. Rev. D88(7), 072012 (2013), arXiv:1303.0571[hep-ex]

  • [27]

    M. Huschleet al., Phys. Rev. D92(7), 072014 (2015), arXiv:1507.03233[hep-ex]

  • [28]

    G. Cariaet al., Phys. Rev. Lett.124(16), 161803 (2020), arXiv:1910.05864[hep-ex]

  • [29]

    Recent Belle II results on semi leptonic decay anomalies \begin{document}$R(D)$\end{document} and \begin{document}$R(D^{*})$\end{document} Presented at Lepton Photon 2023, https://indico.cern.ch/event/1114856/contributions/5423684/attachments/2685890/4660084/2023-07-04_LP2023_KojimaFinalVer_main.pdf.

  • [30]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. D115, 111803 (2015), [Erratum: Phys. Rev. D 97, 059902 (2018)], arXiv: 1506.08614[hep-ex]

  • [31]

    R. Aaijet al., Phys. Rev. Lett.120(17), 171802 (2018), arXiv:1708.08856[hep-ex]

  • [32]

    R. Aaijet al., Phys. Rev. D97(7), 072013 (2018), arXiv:1711.02505[hep-ex]

  • [33]

    R. Aaijet al. (LHCb Collaboration), Phys. Rev. Lett.131, 111802 (2018)

  • [34]

    R. Aaijet al., Phys. Rev. D108(1), 012018 (2023), arXiv:2305.01463[hep-ex]

  • [35]

    Y. Amhiset al. (Heavy Flavor Averaging Group Collaboration), Phys. Rev. D107(1), 052008 (2023)

  • [36]

    Preliminary average of \begin{document}$R(D)$\end{document} and \begin{document}$R(D^{*})$\end{document} for Winter 2023 https://hflav-eos.web.cern.ch/hflav-eos/semi/winter23prel/html/RDsDsstar/RDRDs.html

  • [37]

    Preliminary average of \begin{document}$R(D)$\end{document} and \begin{document}$R(D^{*})$\end{document} for Summer2023, https://hflav-eos.web.cern.ch/hflav-eos/semi/summer23/html/RDsDsstar/RDRDs.html.

  • [38]

    B. Y. Cui, Y. K. Huang, Y. M. Wanget al., arXiv: 2301.12391 [hep-ph]

  • [39]

    S. Hiroseet al., Phys. Rev. Lett.118(21), 211801 (2017), arXiv:1612.00529[hep-ex]

  • [40]

    S. Hiroseet al., Phys. Rev. D97(1), 012004 (2018), arXiv:1709.00129[hep-ex]

  • [41]

    A. Abdesselamet al.(Belle Collaboration), arXiv: 1903.03102 [hep-ex]

  • [42]

    A. K. Alok, D. Kumar, S. Kumbhakaret al., Phys. Rev. D95(11), 115038 (2017), arXiv:1606.03164[hep-ph]

  • [43]

    S. Iguro and R. Watanabe, JHEP08(08), 006 (2020), arXiv:2004.10208[hep-ph]

  • [44]

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

  • [45]

    R. Watanabe, Phys. Rev. Lett.776, 5 (2018),

  • [46]

    J. Harrisonet al., Phys. Rev. Lett.125(22), 222003 (2020), arXiv:2007.06956[hep-lat]

  • [47]

    S. Kamali, Int. J. Mod. Phys. A34(06n07), 1950036 (2019), arXiv:1811.07393[hep-ph]

  • [48]

    R. Barateet al., Eur. Phys. J. C19, 213 (2001), arXiv:hep-ex/0010022[hep-ex]

  • [49]

    R. Aaijet al., Phys. Rev. D89(3), 032001 (2014), arXiv:1311.4823[hep-ex]

  • [50]

    R. Aaijet al., Phys. Rev. Lett.112, 202001 (2014), arXiv:1403.3606[hep-ex]

  • [51]

    R. Aaijet al., JHEP07, 103 (2014), arXiv:1406.0755[hep-ex]

  • [52]

    D. O'Hanlon (LHCb Collaboration), arXiv: 1605.06990 [hep-ex]

  • [53]

    R. Aaijet al., JHEP02, 098 (2018), arXiv:1711.05490[hep-ex]

  • [54]

    R. Aaijet al., Phys. Rev. Lett.128(19), 191803 (2022), arXiv:2201.03497[hep-ex]

  • [55]

    W. Detmold, C. Lehner, and S. Meinel, Phys. Rev. D92(3), 034503 (2015), arXiv:1503.01421[hep-lat]

  • [56]

    F. U. Bernlochner, Z. Ligeti, D. J. Robinsonet al., Phys. Rev. Lett.121(20), 202001 (2018), arXiv:1808.09464[hep-ph]

  • [57]

    P. Asadi and D. Shih, Phys. Rev. D100(11), 115013 (2019), arXiv:1905.03311[hep-ph]

  • [58]

    C. Murgui, A. Peñuelas, M. Junget al., JHEP09, 103 (2019), arXiv:1904.09311[hep-ph]

  • [59]

    R. Mandal, C. Murgui, A. Peñuelaset al., JHEP08(08), 022 (2020), arXiv:2004.06726[hep-ph]

  • [60]

    K. Cheung, Z. R. Huang, H. D. Liet al., Nucl. Phys. B965, 115354 (2021), arXiv:2002.07272[hep-ph]

  • [61]

    P. Colangelo, F. De Fazio, and F. Loparco, JHEP11, 32 (2020), [Erratum: JHEP 12, 098 (2022)], arXiv: 2006.13759 [hep-ph]

  • [62]

    S. Sahoo and R. Mohanta, arXiv: 1910.09269 [hep-ph]

  • [63]

    R. X. Shi, L. S. Geng, B. Grinsteinet al., JHEP12, 065 (2019), arXiv:1905.08498[hep-ph]

  • [64]

    D. Bardhan and D. Ghosh, Phys. Rev. D100(1), 011701 (2019), arXiv:1904.10432[hep-ph]

  • [65]

    M. Blanke, A. Crivellin, S. de Boeret al., Phys. Rev. D99(7), 075006 (2019), arXiv:1811.09603[hep-ph]

  • [66]

    M. Fedele, M. Blanke, A. Crivellinet al., Phys. Rev. D107(5), 055005 (2023), arXiv:2211.14172[hep-ph]

  • [67]

    M. Blanke, A. Crivellin, T. Kitaharaet al., Phys. Rev. D100, 035035 (2019)

  • [68]

    A. K. Alok, D. Kumar, S. Kumbhakaret al., Nucl. Phys. B953, 114957 (2020), arXiv:1903.10486[hep-ph]

  • [69]

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

  • [70]

    A. Greljo, D. J. Robinson, B. Shakyaet al., JHEP09, 169 (2018), arXiv:1804.04642[hep-ph]

  • [71]

    A. Azatov, D. Barducci, D. Ghoshet al., JHEP10, 092 (2018), arXiv:1807.10745[hep-ph]

  • [72]

    J. Heeck and D. Teresi, JHEP12, 103 (2018), arXiv:1808.07492[hep-ph]

  • [73]

    K. S. Babu, B. Dutta, and R. N. Mohapatra, JHEP01, 168 (2019), arXiv:1811.04496[hep-ph]

  • [74]

    X. G. He and G. Valencia, Phys. Lett. B779, 52 (2018), arXiv:1711.09525[hep-ph]

  • [75]

    J. D. Gómez, N. Quintero, and E. Rojas, Phys. Rev. D100(9), 093003 (2019), arXiv:1907.08357[hep-ph]

  • [76]

    M. Algueró, S. Descotes-Genon, J. Matiaset al., JHEP06, 156 (2020), arXiv:2003.02533[hep-ph]

  • [77]

    R. Dutta, A. Bhol, and A. K. Giri, Phys. Rev. D88(11), 114023 (2013), arXiv:1307.6653[hep-ph]

  • [78]

    R. Dutta and A. Bhol, Phys. Rev. D96(7), 076001 (2017), arXiv:1701.08598[hep-ph]

  • [79]

    R. Dutta, arXiv: 1710.00351 [hep-ph]

  • [80]

    R. Dutta and N. Rajeev, Phys. Rev. D97(9), 095045 (2018), arXiv:1803.03038[hep-ph]

  • [81]

    A. Celis, M. Jung, X. Q. Liet al., Phys. Lett. B771, 168 (2017), arXiv:1612.07757[hep-ph]

  • [82]

    R. Alonso, B. Grinstein, and J. Martin Camalich, Phys. Rev. Lett.118(8), 081802 (2017), arXiv:1611.06676[hep-ph]

  • [83]

    S. S. Gershtein, V. V. Kiselev, A. K. Likhodedet al., Phys. Usp.38, 1 (1995), arXiv:hep-ph/9504319[hep-ph]

  • [84]

    I. I. Y. Bigi, Phys. Lett. B371, 105 (1996), arXiv:hep-ph/9510325[hep-ph]

  • [85]

    M. Beneke and G. Buchalla, Phys. Rev. D53, 4991 (1996), arXiv:hep-ph/9601249[hep-ph]

  • [86]

    C. H. Chang, S. L. Chen, T. F. Fenget al., Phys. Rev. D64, 014003 (2001), arXiv:hep-ph/0007162[hep-ph]

  • [87]

    V. V. Kiselev, A. E. Kovalsky, and A. K. Likhoded, Nucl. Phys. B585, 353 (2000), arXiv:hep-ph/0002127[hep-ph]

  • [88]

    A. G. Akeroyd and C. H. Chen, Phys. Rev. D96(7), 075011 (2017), arXiv:1708.04072[hep-ph]

  • [89]

    S. Iguro, T. Kitahara, Y. Omuraet al., JHEP02, 194 (2019), arXiv:1811.08899[hep-ph]

  • [90]

    P. Asadi, M. R. Buckley, and D. Shih, JHEP09, 010 (2018), arXiv:1804.04135[hep-ph]

  • [91]

    P. Asadi, M. R. Buckley, and D. Shih, Phys. Rev. D99(3), 035015 (2019), arXiv:1810.06597[hep-ph]

  • [92]

    Z. Ligeti, M. Papucci, and D. J. Robinson, JHEP01, 083 (2017), arXiv:1610.02045[hep-ph]

  • [93]

    D. J. Robinson, B. Shakya, and J. Zupan, JHEP02, 119 (2019), arXiv:1807.04753[hep-ph]

  • [94]

    W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986)

  • [95]

    B. Grzadkowski, M. Iskrzynski, M. Misiaket al., JHEP10, 085 (2010), arXiv:1008.4884[hep-ph]

  • [96]

    J. Aebischer, A. Crivellin, M. Faelet al., JHEP05, 037 (2016), arXiv:1512.02830[hep-ph]

  • [97]

    M. González-Alonso, J. Martin Camalich, and K. Mimouni, Phys. Lett. B772, 777 (2017), arXiv:1706.00410[hep-ph]

  • [98]

    J. Cardozo, J. H. Muñoz, N. Quinteroet al., J. Phys. G48(3), 035001 (2021), arXiv:2006.07751[hep-ph]

  • [99]

    S. Iguro, T. Kitahara, and R. Watanabe, arXiv: 2210.10751 [hep-ph]

  • [100]

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

  • [101]

    D. Bečirević, M. Fedele, I. Nišandžićet al., arXiv: 1907.02257 [hep-ph]

  • [102]

    D. Becirevic, S. Fajfer, I. Nisandzicet al., Nucl. Phys. B946, 114707 (2019), arXiv:1602.03030[hep-ph]

  • [103]

    R. Alonso, A. Kobach, and J. M. Camalich, Phys. Rev. D94(9), 094021 (2016), arXiv:1602.07671[hep-ph]

  • [104]

    D. Hill, M. John, W. Keet al., JHEP11, 133 (2019), arXiv:1908.04643[hep-ph]

  • [105]

    J. Aebischer, T. Kuhr, and K. Lieret JHEP2020, 7 (2020), [Erratum: JHEP 2021, 147 (2021)], arXiv: 1909.11088 [hep-ph]

  • [106]

    Y. Sakaki, M. Tanaka, A. Tayduganovet al., Phys. Rev. D88(9), 094012 (2013), arXiv:1309.0301[hep-ph]

  • [107]

    I. Caprini, L. Lellouch, and M. Neubert, Nucl. Phys. B530, 153 (1998), arXiv:hep-ph/9712417[hep-ph]

  • [108]

    S. Kumbhakar, Nucl. Phys. B963, 115297 (2021), arXiv:2007.08132[hep-ph]

  • [109]

    D. Aloni, Y. Grossman, and A. Soffer, Phys. Rev. D98(3), 035022 (2018), arXiv:1806.04146[hep-ph]

  • [110]

    M. Duraisamy, P. Sharma and A. Datta, Phys. Rev. D90(7), 074013 (2014), arXiv:1405.3719[hep-ph]

  • [111]

    M. Duraisamy and A. Datta, JHEP09, 059 (2013), arXiv:1302.7031[hep-ph]

  • [112]

    A. K. Alok, A. Datta, A. Digheet al., JHEP11, 122 (2011), arXiv:1103.5344[hep-ph]

  • [113]

    B. Bhattacharya, A. Datta, S. Kamaliet al., JHEP05, 191 (2019), arXiv:1903.02567[hep-ph]

  • [114]

    B. Bhattacharya, A. Datta, S. Kamaliet al., JHEP07(07), 194 (2020), arXiv:2005.03032[hep-ph]

  • [115]

    P. A. Zylaet al., PTEP2020(8), 083C (2020)

  • [116]

    R. L. Workmanet al., PTEP2022, 083C (2022)

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