- 
								[1]
								Y. Hyodo and T. Kitabayashi, Prog. Theor. Exp. Phys. 2021, 123B08 (2021) 
- 
								[2]
								P. F. Harrison and W. G. Scott, Phys. Lett. B 594, 324 (2004) 
- 
								[3]
								C. S. Lam, Phys. Lett. B 640, 260 (2006) 
- 
								[4]
								R. R. Gautam and S. Kumar, Phys. Rev. D 94, 036004 (2016) 
- 
								[5]
								M. J. S. Yang, Prog. Theor. Exp. Phys. 2022, 013B12 (2022) 
- 
								[6]
								K. S. Channey and S. Kumar, J. Phys. G: Nucl. Part. Phys. 46, 015001 (2019) 
- 
								[7]
								S. Verma and M. Kashav, J. Phys. G: Nucl. Part. Phys. 47, 085003 (2020) 
- 
								[8]
								M. Kashav, L. Singh, and S. Verma, arXiv: 2207.13328 
- 
								[9]
								P. F. Harrison, D. H. Perkins, and W. G. Scott, Phys. Lett. B 530, 167 (2002) 
- 
								[10]
								C. S. Lam, Phys. Rev. D 74, 113004 (2006) 
- 
								[11]
								Y. Hyodo and T. Kitabayashi, Int. J. Mod. Phys. A 35, 2050183 (2020) 
- 
								[12]
								Z. Z. Xing, Phys. Lett. B 533, 85 (2002) 
- 
								[13]
								P. F. Harrison and W. G. Scott, Phys. Lett. B 535, 163 (2002) 
- 
								[14]
								T. Kitabayashi, Phys. Rev. D 76, 033002 (2007) 
- 
								[15]
								M. S. Berger and K. Siyeon, Phys. Rev. D 64, 053006 (2001) 
- 
								[16]
								P. H. Frampton, S. L. Glashow, and D. Marfatia, Phys. Lett. B 536, 79 (2002) 
- 
								[17]
								Z. Z. Xing, Phys. Lett. B 530, 159 (2002) 
- 
								[18]
								Z. Z. Xing, Phys. Lett. B 539, 85 (2002) 
- 
								[19]
								A. Kageyama, S. Kaneko, N. Shimoyana et al., Phys. Lett. B 538, 96 (2002) 
- 
								[20]
								Z. Z. Xing, Phys. Rev. D 69, 013006 (2004) 
- 
								[21]
								W. Grimus, A. S. Joshipura, L. Lavoura et al., Eur. Phys. J. C 36, 227 (2004) 
- 
								[22]
								C. I. Low, Phys. Rev. D 70, 073013 (2004) 
- 
								[23]
								C. I. Low, Phys. Rev. D 71, 073007 (2005) 
- 
								[24]
								W. Grimus and L. Lavoura, J. Phys. G 31, 693 (2005) 
- 
								[25]
								S. Dev, S. Kumar, S. Verma et al., Phys. Rev. D 76, 013002 (2007) 
- 
								[26]
								Z. Z. Xing and S. Zhou, Phys. Lett. B 679, 249 (2009) 
- 
								[27]
								H. Fritzsch, Z. Z. Xing, and S. Zhou, J. High Energy Phys. 09, 083 (2011) 
- 
								[28]
								S. Kumar, Phys. Rev. D 84, 077301 (2011) 
- 
								[29]
								S. Dev, S. Gupta, and R. R. Gautam, Phys. Lett. B 701, 605 (2011) 
- 
								[30]
								T. Araki, J. Heeck, and J. Kubo, J. High Energy Phys. 07, 083 (2012) 
- 
								[31]
								P. Ludle, S. Morisi, and E. Peinado, Nucl. Phys. B 857, 411 (2012) 
- 
								[32]
								E. Lashin and N. Chamoun, Phys. Rev. D 85, 113011 (2012) 
- 
								[33]
								K. Deepthi, S. Gollu, and R. Mohanta, Eur. Phys. J. C 72, 1888 (2012) 
- 
								[34]
								D. Meloni and G. Blankenburg, Nucl. Phys. B 867, 749 (2013) 
- 
								[35]
								D. Meloni, A. Meroni, and E. Peinado, Phys. Rev. D 89, 053009 (2014) 
- 
								[36]
								S. Dev, R. R. Gautam, L. Singh et al., Phys. Rev. D 90, 013021 (2014) 
- 
								[37]
								R. G. Felipe and H. Serodio, Nucl. Phys. B 886, 75 (2014) 
- 
								[38]
								P. O. Ludl and W. Grimus, J. High Energy Phys. 07, 090 (2014) 
- 
								[39]
								L. M. Cebola, D. E. Costa, and R. G. Felipe, Phys. Rev. D 92, 025005 (2015) 
- 
								[40]
								R. R. Gautam, M. Singh, and M. Gupta, Phys. Rev. D 92, 013006 (2015) 
- 
								[41]
								S. Dev, L. Singh, and D. Raj, Eur. Phys. J. C 75, 394 (2015) 
- 
								[42]
								T. Kitabayashi and M. Yasuè, Phys. Rev. D 93, 053012 (2016) 
- 
								[43]
								S. Zhou, Chin. Phys. C 40, 033102 (2016) 
- 
								[44]
								M. Singh, G. Ahuja, and M. Gupta, Prog. Theor. Exp. Phys. 2016, 123B08 (2016) 
- 
								[45]
								T. Kitabayashi and M. Yasuè, Int. J. Mod. Phys. A 32, 1750034 (2017) 
- 
								[46]
								T. Kitabayashi, S. Ohkawa, and M. Yasuè, Int. J. Mod. Phys. A 32, 1750186 (2017) 
- 
								[47]
								K. Bora, D. Borah, and D. Dutta, Phys. Rev. D 96, 075006 (2017) 
- 
								[48]
								D. M. Barreiros, R. G. Felipe, and F. R. Joaquim, Phys. Rev. D 97, 115016 (2018) 
- 
								[49]
								T. Kitabayashi, Phys. Rev. D 98, 083001 (2018) 
- 
								[50]
								D. M. Barreiros, R. G. Felipe, and F. R. Joaquim, J. High Energy Phys. 01, 223 (2019) 
- 
								[51]
								T. Kitabayashi, Int. J. Mod. Phys. A 34, 1950098 (2019) 
- 
								[52]
								F. Capozzi, E. D. Valentino, E. Lisi et al., Phys. Rev. D 101, 116013 (2020) 
- 
								[53]
								M. Singh, EPL 129, 11002 (2020) 
- 
								[54]
								D. M. Barreiros, F. R. Joaquim, and T. T. Yanagida, Phys. Rev. D 102, 055021 (2020) 
- 
								[55]
								T. Kitabayashi, Phys. Rev. D 102, 075027 (2020) 
- 
								[56]
								T. Fukuyama and H. Nishiura, (1997), arXiv: hep-ph/9702253 
- 
								[57]
								C. S. Lam, Phys. Lett. B 507, 214 (2001) 
- 
								[58]
								E. Ma and M. Raidal, Phys. Rev. Lett. 87, 011802 (2001) 
- 
								[59]
								K. R. S. Balaji, W. Grimus, and T. Schwetz, Phys. Lett. B 508, 301 (2001) 
- 
								[60]
								Y. Koide, H. Nishiura, K. Matsuda et al., Phys. Rev. D 66, 093006 (2002) 
- 
								[61]
								T. Kitabayashi and M. Yasue, Phys. Rev. D 67, 015006 (2003) 
- 
								[62]
								Y. Koide, Phys. Rev. D 69, 093001 (2004) 
- 
								[63]
								I. Aizawa, M. Ishiguro, T. Kitabayashi et al., Phys. Rev. D 70, 015011 (2004) 
- 
								[64]
								A. Ghosal, Mod. Phys. Lett. A 19, 2579 (2004) 
- 
								[65]
								R. N. Mohapatra and W. Rodejohann, Phys. Rev. D 72, 053001 (2005) 
- 
								[66]
								Y. Koide, Phys. Lett. B 607, 123 (2005) 
- 
								[67]
								T. Kitabayashi and M. Yasue, Phys. Lett. B 621, 133 (2005) 
- 
								[68]
								N. Haba and W. Rodejohann, Phys. Rev. D 74, 017701 (2006) 
- 
								[69]
								Z. Z. Xing, H. Zhang, and S. Zhou, Phys. Lett. B 641, 189 (2006) 
- 
								[70]
								Y. H. Ahn, S. K. Kang, C. S. Kim et al., Phys. Rev. D 73, 093005 (2006) 
- 
								[71]
								A. S. Joshipura, Eur. Phys. J. C 53, 77 (2008) 
- 
								[72]
								J. C. Gomez-Izquierdo and A. Perez-Lorenzana, Phys. Rev. D 82, 033008 (2010) 
- 
								[73]
								H. J. He and F. R. Yin, Phys. Rev. D 84, 033009 (2011) 
- 
								[74]
								H. J. He and X. J. Xu, Phys. Rev. D 86, 111301 (2012) 
- 
								[75]
								J. C. Gomez-Izquierdo, Eur. Phys. J. C 77, 551 (2017) 
- 
								[76]
								T. Fukuyama, Prog. Theor. Exp. Phys. 3, 033B11 (2017) 
- 
								[77]
								T. Kitabayashi, Int. J. Mod. Phys. A 31, 09 (2016) 
- 
								[78]
								T. Kitabayashi and M. Yasuè, Phys. Rev. D 94, 075020 (2016) 
- 
								[79]
								Z. H. Zhao, X. Y. Zhao, and H. C. Bao, Phys. Rev. D 105, 035011 (2022) 
- 
								[80]
								E. A. Garcés, Juan Carlos Gómez-Izquierdo, and F. Gonzalez-Canales, Eur. Phys. J. C 78, 812 (2018) 
- 
								[81]
								Juan Carlos Gómez-Izquierdo and Myriam Mondragón, Eur. Phys. J. C 79, 285 (2019) 
- 
								[82]
								G. Altarelli and F. Feruglio, Rev. Mod. Phys. 82, 2701 (2010) 
- 
								[83]
								H. Borgohain and D. Borah, J. Phys. G: Nucl. Part. Phys. 48, 075005 (2021) 
- 
								[84]
								B. Pontecorvo, Sov. Phys. JETP 6, 429 (1957) 
- 
								[85]
								B. Pontecorvo, Sov. Phys. JETP 7, 172 (1958) 
- 
								[86]
								Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962) 
- 
								[87]
								M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018) 
- 
								[88]
								G. Senjanović and V. Tello, Phys. Rev. D 94, 095023 (2016) 
- 
								[89]
								Z. Zhao, J. High Energy Phys. 09, 023 (2017) 
- 
								[90]
								M. C. Gonzalez-Garcia, Michele Maltoni, and Thomas Schwetz, Universe 2021 7(12), 459 (2021) 
- 
								[91]
								N. Aghanim et al. (Planck Collaboration), "Planck 2018 results. VI. Cosmological parameters", arXiv: 1807.06209 
- 
								[92]
								E. Giusarma, M. Gerbino, O. Mena et al., Phys. Rev. D 94, 083522 (2016) 
- 
								[93]
								S. Vagnozzi, E. Giusarma, O. Mena et al., Phys. Rev. D 96, 123503 (2017) 
- 
								[94]
								E. Giusarma, S. Vagnozzi, S. Ho, S. Ferraro et al., Phys. Rev. D 98, 123526 (2018) 
- 
								[95]
								M. A. Acero et al. (NOvA Collaboration), Phys. Rev. D 106, 032004 (2022) 
- 
								[96]
								K. Abe et al. (T2K Collaboration), Phys. Rev. D 103, 112008 (2021)