\begin{document}$B-L$\end{document} extension of the standard model (SM) with \begin{document}$S_4$\end{document} symmetry which successfully explains the recently observed neutrino oscillation data is proposed. The tiny neutrino masses and their hierarchies are generated via the type-I seesaw mechanism. The model reproduces the recent experiments of neutrino mixing angles and Dirac CP violating phase in which the atmospheric angle \begin{document}$(\theta_{23})$\end{document} and the reactor angle \begin{document}$(\theta_{13})$\end{document} get the best-fit values while the solar angle \begin{document}$(\theta_{12})$\end{document} and Dirac CP violating phase (\begin{document}$\delta $\end{document}) are in \begin{document}$3\, \sigma $\end{document} range of the best-fit value for the normal hierarchy (NH). For the inverted hierarchy (IH), \begin{document}$\theta_{13}$\end{document} gets the best-fit value and \begin{document}$\theta_{23}$\end{document} together with \begin{document}$\delta $\end{document} are in the \begin{document}$1\, \sigma $\end{document} range, while \begin{document}$\theta_{12}$\end{document} is in \begin{document}$3\, \sigma $\end{document} range of the best-fit value. The effective neutrino masses are predicted to be \begin{document}$\langle m_{ee}\rangle=6.81 \,\, {\rm{meV}}$\end{document} for the NH and \begin{document}$\langle m_{ee}\rangle=48.48\,\, {\rm{meV}}$\end{document} for the IH, in good agreement with the most recent experimental data."> Multiscalar <i>B</i>-<i>L</i> extension based on <i>S</i><sub>4</sub> flavor symmetry for neutrino masses and mixing -
  • [1]

    I. Esteban, M. Gonzalez-Garcia, M. Maltoniet al., J. High Energy Phys.09, 178 (2020), arXiv:2007.14792

  • [2]

    A. Davidson, Phys. Rev. D20, 776 (1979

  • [3]

    R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett.44, 1316 (1980

  • [4]

    R. E. Marshak and R. N. Mohapatra, Phys. Lett.91B, 222 (1980

  • [5]

    C. Wetterich, Nucl. Phys. B187, 343 (1981

  • [6]

    A. Masiero, J. F. Nieves, and T. Yanagida, Phys. Lett.116 B, 11 (1982

  • [7]

    S. Khalil, J. Phys.G35, 055001 (2008), arXiv:hep-ph/0611205

  • [8]

    S. Khalil and H. Okada, Phys. Rev. D79(08), 3510 (2009), arXiv:0810.4573

  • [9]

    A. Das, N. Okada, S. Okadaet al., Phys. Lett. B797, 134849 (2019), arXiv:1812.11931

  • [10]

    J. C. Gómez-Izquierdo and M. Mondragón, Eur. Phys. J. C79, 285 (25019

  • [11]

    V. V. Vien, J. Phys. G: Nucl. Part. Phys.47, 055007 (2020

  • [12]

    V. V. Vien, Nucl. Phys. B956, 115015 (2020

  • [13]

    T. Araki et. al., Nucl. Phys. B805, 124 (2008), arXiv:0805.0207

  • [14]

    T. Kobayashiet al., J. High Energy Phys.02, 097 (2020), arXiv:1907.09141

  • [15]

    H. Ishimoriet al., Lect. Notes Phys.858, 1 (2012

  • [16]

    G. Altarelli, F. Feruglio, and L. Merlo, J. High Energy Phys.0905, 020 (2009), arXiv:0903.1940

  • [17]

    F. Bazzocchi, L. Merlo, and S. Morisi, Phys. Rev. D80, 053003 (2009), arXiv:0902.2849

  • [18]

    F. Bazzocchi, L. Merlo, and S. Morisi, Nucl. Phys. B816, 204 (2009), arXiv:0901.2086

  • [19]

    R. de Adelhart Toorop, F. Bazzocchi, and L. Merlo, J. High Energy Phys.1008, 001 (2010), arXiv:1003.4502

  • [20]

    K. M. Patel, Phys. Lett. B695, 225 (2011), arXiv:1008.5061

  • [21]

    H. Ishimori, Y. Shimizu, M. Tanimotoet al., Phys. Rev. D83, 033004 (2011), arXiv:1010.3805

  • [22]

    P. V. Dong, H. N. Long, D. V. Soaet al., Eur. Phys. J. C71, 1544 (2011

  • [23]

    S. Morisi, K. M. Patel, and E. Peinado, Phys. Rev. D84, 053002 (2011), arXiv:1107.0696

  • [24]

    C. Hagedorn and M. Serone, J. High Energy Phys.1110, 083 (2011), arXiv:1106.4021

  • [25]

    G. Altarelli, F. Feruglio, L. Merloet al., J. High Energy Phys.1208, 021 (2012), arXiv:1205.4670

  • [26]

    R. N. Mohapatra and C. C. Nishi, Phys. Rev. D86, 073007 (2012), arXiv:1208.2875

  • [27]

    P. S. Bhupal Dev, B. Dutta, R. N. Mohapatraet al., Phys. Rev. D86, 035002 (2012

  • [28]

    I. de Medeiros Varzielas, and L. Lavoura, J. Phys. G40, 085002 (2013), arXiv:1212.3247

  • [29]

    G. J. Ding, S. F. King, C. Luhnet al., J. High Energy Phys.1305, 084 (2013), arXiv:1303.6180

  • [30]

    G. J. Ding and Y. L. Zhou, Nucl. Phys. B876, 418 (2013), arXiv:1304.2645

  • [31]

    A. E. Cárcamo Hernández, Nicolás A. Pérez-Julve, and Yocelyne Hidalgo Velásquez, Phys. Rev. D100, 095025 (2019), arXiv:1907.13083

  • [32]

    V. V. Vien and H. N. Long, Adv. High Energy Phys.2014, 192536 (2014

  • [33]

    V. V. Vien, H. N. Long, and D. P. Khoi, Int. J. Mod. Phys. A30, 1550102 (2015), arXiv:1506.06063

  • [34]

    V. V. Vien, Int. J. Mod. Phys. A31, 1650039 (2016), arXiv:1603.03933

  • [35]

    F. J. de Anda, S. F. King, and E. Perdomo, J. High Energy Phys.12, 075 (2017), arXiv:1710.03229

  • [36]

    F. J. de Anda and S. F. King, J. High Energy Phys.1807, 057 (2018), arXiv:1803.04978[hep-ph

  • [37]

    I. De Medeiros Varzielas, M. Levyet al., Phys. Rev. D100, 035027 (2019), arXiv:1903.10506

  • [38]

    P. T. Chen, G. J. Ding, S. F. Kinget al., J. Phys. G: Nucl. Part. Phys.47, 065001 (2020), arXiv:1906.11414

  • [39]

    V. V. Vien, H. N. Long and A. E. Cárcamo Hernández, Prog. Theor. Exp. Phys.2019, 113B04 (2019), arXiv:1909.09532

  • [40]

    S. Petcov and A. Titov, Phys. Rev. D97, 115045 (2018), arXiv:1804.00182

  • [41]

    A. E. Cárcamo Hernández and S. F. King, Nucl. Phys. B953, 114950 (2020), arXiv:1903.02565

  • [42]

    L. Lavoura, Eur. Phys. J.C29, 191 (2003

  • [43]

    L. T. Hue, L. D. Ninh, T. T. Thucet al., Eur. Phys. J. C78, 128 (2018

  • [44]

    M. D. Campos, A. E. Cárcamo Hernández, H. Päset al., Phys. Rev. D91, 116011 (2015

  • [45]

    M. Lindner, M. Platscher, and F. S. Queiroz, Phys. Rept.731, 1 (2018

  • [46]

    P. A. Zylaet al. (Particle Data Group), Prog. Theor. Exp. Phys.2020, 083C01 (2020

  • [47]

    B. Pontecorvo, Zh. Eksp. Teor. Fiz.33, 549 (1957

  • [48]

    B. Pontecorvo, Zh. Eksp. Teor., Fiz.34, 247 (1958

  • [49]

    Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys.28, 870 (1962

  • [50]

    P. I. Krastev and S. T. Petcov, Phys. Lett. B205, 84 (1988

  • [51]

    W. Rodejohann, Phys. Rev. D69, 033005 (2004

  • [52]

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

  • [53]

    D. -d. Wu, Phys. Rev. D33, 860 (1986

  • [54]

    O. W. Greenberg, Phys. Rev. D32, 1841 (1985

  • [55]

    M. Mitra, G. Senjanovic, and F. Vissani, Nucl. Phys. B856, 26 (2012), arXiv:1108.0004

  • [56]

    W. Rodejohann, J. Phys. G39, 124008 (2012), arXiv:1206.2560

  • [57]

    J. D. Vergados, H. Ejiri, and F. Simkovic, Rep. Prog. Phys.75, 106301 (2012), arXiv:1205.0649

  • [58]

    K. Fukuura, T. Miura, E. Takasugiet al., Phys. Rev. D61, 073002 (2000), arXiv:hepph/9909415

  • [59]

    T. Miura, E. Takasugi, and M. Yoshimura, Phys. Rev. D63, 013001 (2001), arXiv:hep-ph/0003139

  • [60]

    E. Ma, Phys. Rev. D66, 117301 (2002), arXiv:hep-ph/0207352

  • [61]

    X. -G. He, Chin. J. Phys.53, 100101 (2015), arXiv:1504.01560

  • [62]

    E. Ma, Phys. Lett. B752, 198 (2016), arXiv:1510.02501

  • [63]

    E. Ma, Phys. Lett. B755, 348 (2016), arXiv:1601.00138

  • [64]

    E. Ma and G. Rajasekaran, Europhys. Lett.119(3), 31001 (2017), arXiv:1708.02208

  • [65]

    E. Ma, Phys. Lett. B777, 332 (2018), arXiv:1707.03352

  • [66]

    W. Grimus and L. Lavoura, Phys. Lett. B774, 325 (2017), arXiv:1708.09809

  • [67]

    E. Ma, Eur. Phys. J. C79(11), 903 (2019), arXiv:1905.01535

  • [68]

    E. Ma, Nucl. Phys. B946, 114725 (2019), arXiv:1907.04665

  • [69]

    A. E. Cárcamo Hernández and Ivo de Medeiros Varzielas, Phys. Lett. B806, 135491 (2020), arXiv:2003.01134

  • [70]

    P. F. de Salaset al., J. High Energ. Phys.2021, 71 (2021), arXiv: 2006.11237

  • [71]

    S. Abeet al. (KamLAND Collaboration), Phys. Rev. Lett.100, 221803 (2008), arXiv:0801.4589

  • [72]

    B. Aharmimet al. (SNO Collaboration), Phys. Rev. C72, 055502 (2005

  • [73]

    S. Roy Choudhury and S. Choubey, JCAP1809(09), 017 (2018), arXiv:1806.10832

  • [74]

    F. Capozzi, S. S. Chatterjee, and A. Palazzo, Phys. Rev. Lett.124(11), 111801 (2020

  • [75]

    S. Vagnozziet al., Phys. Rev. D96, 123503 (2017), arXiv:1701.08172

  • [76]

    A. Gandoet al. (KamLAND-Zen Collaboration), Phys. Rev. Lett.117(8), 082503 (2016

  • [77]

    M. Agostiniet al. (GERDA Collaboration), Science365, 1445 (2019), arXiv:1909.02726

  • [78]

    D. Adamset al. (CUORE collaboration), Phys. Rev. Lett.124, 122501 (2020), arXiv:1912.10966

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