\begin{document}$ Z_6 $\end{document} symmetry. By fixing the charged fermion masses at their best-fit values, we fit the remaining nine precisely measured observables (three angles and one CP-violating phase in quark mixing, three angles in lepton mixing, and two neutrino mass-squared differences) with seven model parameters. The model fits all data on fermion masses and mixing accurately, and the leptonic CP-violating phase is predicted to lie in the range \begin{document}$ (90^\circ, 230^\circ) $\end{document}. The model further predicts the right-handed neutrino masses, with the lightest and heaviest ones being on orders of \begin{document}$ 10^9 $\end{document} and \begin{document}$ 10^{12} $\end{document} GeV, respectively. Gauge unification and proton decay were checked under the assumption of a breaking chain with two intermediate symmetries above the electroweak scale. The result indicates that \begin{document}$ \alpha_{\rm{GUT}} $\end{document} varies in the range of (0.022,0.032) as long as the assumption of an economical choice of Higgs contents is fulfilled, and \begin{document}$ M_{\rm{GUT}} $\end{document} should be bigger than \begin{document}$ 4.5\times 10^{15} $\end{document} GeV to meet the Super-K bound. We report on the effective mass \begin{document}$ m_{ee} $\end{document} for neutrinoless double beta decay, which provides a possibility to test grand unification with neutrinoless double beta decay experiments."> Fermion masses and mixing in <i>SO</i>(10) GUT with a universal two-zero texture -
  • [1]

    H. Fritzsch, Phys. Lett. B70, 436 (1977)

  • [2]

    S. Weinberg, Trans. New York Acad. Sci.38, 185 (1977)

  • [3]

    F. Wilczek and A. Zee, Phys. Lett. B70, 418 (1977) [Erratum: Phys. Lett. B72, 504 (1978)]

  • [4]

    D. s. Du and Z. z. Xing, Phys. Rev. D48, 2349 (1993)

  • [5]

    H. Fritzsch and Z. z. Xing, Phys. Lett. B353, 114 (1995), arXiv: hep-ph/9502297[hep-ph]

  • [6]

    Z. z. Xing, J. Phys. G23, 1563 (1997), arXiv: hep-ph/9609204[hep-ph]

  • [7]

    H. Fritzsch, Phys. Lett. B73, 317 (1978)

  • [8]

    H. Fritzsch, Nucl. Phys. B155, 189 (1979)

  • [9]

    H. Fritzsch, Phys. Lett. B184, 391 (1987)

  • [10]

    H. Fritzsch and Z. z. Xing, Phys. Lett. B555, 63 (2003), arXiv: hep-ph/0212195[hep-ph]

  • [11]

    Z. z. Xing and H. Zhang, J. Phys. G30, 129 (2004), arXiv: hep-ph/0309112[hep-ph]

  • [12]

    Z. z. Xing and Z. h. Zhao, Nucl. Phys. B897, 302 (2015), arXiv: 1501.06346[hep-ph]

  • [13]

    H. Fritzsch, Z. z. Xing, and D. Zhang, Nucl. Phys. B974, 115634 (2022), arXiv: 2111.06727[hep-ph]

  • [14]

    P. H. Frampton, S. L. Glashow, and D. Marfatia, Phys. Lett. B536, 79 (2002), arXiv: hep-ph/0201008[hep-ph]

  • [15]

    Z. z. Xing, Phys. Lett. B530, 159 (2002), arXiv: hep-ph/0201151[hep-ph]

  • [16]

    Z. z. Xing, Phys. Lett. B539, 85 (2002), arXiv: hep-ph/0205032[hep-ph]

  • [17]

    Z. z. Xing and H. Zhang, Phys. Lett. B569, 30 (2003), arXiv: hep-ph/0304234[hep-ph]

  • [18]

    Y. L. Zhou, Phys. Rev. D86, 093011 (2012), arXiv: 1205.2303[hep-ph]

  • [19]

    W. Grimus, A. S. Joshipura, L. Lavouraet al., Eur. Phys. J. C36, 227 (2004), arXiv: hep-ph/0405016[hep-ph]

  • [20]

    H. Fritzsch and P. Minkowski, Annals Phys.93, 193 (1975)

  • [21]

    B. Dutta, Y. Mimura, and R. N. Mohapatra, Phys. Rev. Lett.94, 091804 (2005), arXiv: hep-ph/0412105[hep-ph]

  • [22]

    B. Dutta, Y. Mimura, and R. N. Mohapatra, Phys. Rev. D72, 075009 (2005), arXiv: hep-ph/0507319[hep-ph]

  • [23]

    K. S. Babu, B. Bajc and S. Saad, JHEP10, 135 (2018), arXiv: 1805.10631[hep-ph]

  • [24]

    K. S. Babu, T. Fukuyama, S. Khanet al., JHEP06, 045 (2019), arXiv: 1812.11695[hep-ph]

  • [25]

    B. Fu, S. F. King, L. Marsiliet al., JHEP11, 072 (2022), arXiv: 2209.00021[hep-ph]

  • [26]

    B. Fu, S. F. King, L. Marsiliet al., Phys. Rev. D109(5), 5 (2024), arXiv: 2308.05799[hep-ph]

  • [27]

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

  • [28]

    P. M. Ferreira, W. Grimus, D. Jurčiukoniset al., Nucl. Phys. B906, 289 (2016), arXiv: 1510.02641[hep-ph]

  • [29]

    I. P. Ivanov and L. Lavoura, J. Phys. G43(10), 105005 (2016), arXiv: 1511.02720[hep-ph]

  • [30]

    T. Ohlsson and M. Pernow, JHEP09, 111 (2021), arXiv: 2107.08771[hep-ph]

  • [31]

    M. Lindestam, T. Ohlsson, and M. Pernow, JHEP01, 009 (2022), arXiv: 2110.09533[hep-ph]

  • [32]

    R. D. Peccei and H. R. Quinn, Phys. Rev. Lett.38, 1440 (1977)

  • [33]

    K. S. Babu and R. N. Mohapatra, Phys. Rev. Lett.70, 2845 (1993), arXiv: hep-ph/9209215[hep-ph]

  • [34]

    A. S. Joshipura and K. M. Patel, Phys. Rev. D83, 095002 (2011), arXiv: 1102.5148[hep-ph]

  • [35]

    B. Bajc, A. Melfo, G. Senjanovicet al., Phys. Rev. D73, 055001 (2006), arXiv: hep-ph/0510139[hep-ph]

  • [36]

    G. Altarelli and G. Blankenburg, JHEP03, 133 (2011), arXiv: 1012.2697[hep-ph]

  • [37]

    B. Dutta, Y. Mimura, and R. N. Mohapatra, Phys. Rev. D80, 095021 (2009), arXiv: 0910.1043[hep-ph]

  • [38]

    C. S. Aulakh and A. Girdhar, Int. J. Mod. Phys. A20, 865 (2005), arXiv: hep-ph/0204097[hep-ph]

  • [39]

    W. Grimus and H. Kuhbock, Eur. Phys. J. C51, 721 (2007), arXiv: hep-ph/0612132[hep-ph]

  • [40]

    H. Fritzsch and Z. z. Xing, Prog. Part. Nucl. Phys.45, 1 (2000), arXiv: hep-ph/9912358[hep-ph]

  • [41]

    L. J. Hu, S. Dulat, and A. Ablat, Eur. Phys. J. C71, 1772 (2011)

  • [42]

    K. S. Babu, B. Bajc, and S. Saad, JHEP02, 136 (2017), arXiv: 1612.04329[hep-ph]

  • [43]

    I. Esteban, M. C. Gonzalez-Garcia, M. Maltoniet al., JHEP09, 178 (2020), arXiv: 2007.14792[hep-ph]

  • [44]

    NuFIT 5.3 (2024), http://www.nu-fit.org/?q=node/278

  • [45]

    NuFIT 6.0 (2024), http://www.nu-fit.org/?q=node/294

  • [46]

    C. Jarlskog, Phys. Rev. Lett.55, 1039 (1985)

  • [47]

    H. Fritzsch and Z. z. Xing, Phys. Rev. D61, 073016 (2000), arXiv: hep-ph/9909304[hep-ph]

  • [48]

    R. Acciarriet al.(DUNE), arXiv: 1512.06148 [physics.ins-det]

  • [49]

    K. Abeet al.(Hyper-Kamiokande), arXiv: 1805.04163 [physics.ins-det]

  • [50]

    J. Chakrabortty, R. Maji, S. K. Patraet al., Phys. Rev. D97(9), 095010 (2018), arXiv: 1711.11391[hep-ph]

  • [51]

    J. Chakrabortty, R. Maji, and S. F. King, Phys. Rev. D99(9), 095008 (2019), arXiv: 1901.05867[hep-ph]

  • [52]

    S. F. King, S. Pascoli, J. Turneret al., JHEP10, 225 (2021), arXiv: 2106.15634[hep-ph]

  • [53]

    P. Fileviez Perez, Phys. Lett. B595, 476 (2004), arXiv: hep-ph/0403286[hep-ph]

  • [54]

    M. Machacek, Nucl. Phys. B159, 37 (1979)

  • [55]

    Y. Aoki, T. Izubuchi, E. Shintaniet al., Phys. Rev. D96(1), 014506 (2017), arXiv: 1705.01338[hep-lat]

  • [56]

    S. Saad, JHEP04, 058 (2023), arXiv: 2212.05291[hep-ph]

  • [57]

    T. Nihei and J. Arafune, Prog. Theor. Phys.93, 665 (1995), arXiv: hep-ph/9412325[hep-ph]

  • [58]

    J. Ellis, M. A. G. Garcia, N. Nagataet al., JHEP05, 021 (2020), arXiv: 2003.03285[hep-ph]

  • [59]

    A. J. Buras, J. R. Ellis, M. K. Gaillardet al., Nucl. Phys. B135, 66 (1978)

  • [60]

    J. T. Goldman and D. A. Ross, Nucl. Phys. B171, 273 (1980)

  • [61]

    W. E. Caswell, J. Milutinovic, and G. Senjanovic, Phys. Rev. D26, 161 (1982)

  • [62]

    L. E. Ibanez and C. Munoz, Nucl. Phys. B245, 425 (1984)

  • [63]

    A. Takenakaet al. (Super-Kamiokande), Phys. Rev. D102(11), 112011 (2020), arXiv: 2010.16098[hep-ex]

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