Abstract
The localization problem for massive fermions in the 5D standing wave braneworld is considered. The fermion generations on the brane are explained by the existence of three nodes of standing waves in the bulk, where the left and right modes of the single 5D massive fermion are localized. We show that the structure of peaks of the left and right fermion wavefunctions in extra dimension leads to the observed mass spectrum of the up and down quark families simultaneously.
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Froggatt, D.D., Nielsen, H.B.: Nucl. Phys. B 147, 277 (1979)
Mirabelli, E.A., Schmaltz, M.: Phys. Rev. D 61, 113011 (2000). arXiv:hep-ph/9912265
Arkani-Hamed, N., Schmaltz, M.: Phys. Rev. D 61, 033005 (2000). arXiv:hep-ph/9903417
Kaplan, D.E., Tait, T.M.: JHEP 11, 051 (2001)
Dobrescu, B.A., Poppitz, E.: Phys. Rev. Lett. 87, 031801 (2001). arXiv:hep-ph/0102010
Neronov, A.: Phys. Rev. D 65, 044004 (2002). arXiv:gr-qc/0106092
Huber, S.J.: Nucl. Phys. B 666, 269 (2003). arXiv:hep-ph/0303183
Aguilar, S., Singleton, D.: Phys. Rev. D 73, 085007 (2006). arXiv:hep-th/0602218
Gogberashvili, M., Midodashvili, P., Singleton, D.: JHEP 08, 033 (2007). arXiv:0706.0676[hep-th]
Guo, Z., Ma, B.: JHEP 09, 091 (2009). arXiv:0909.4355[hep-ph]
Buras, A.J., Grojean, C., Pokorski, S., Ziegler, R.: JHEP 08, 028 (2011). arXiv:1105.3725
Gogberashvili, M., Singleton, D.: Mod. Phys. Lett. A 25, 2131 (2010). arXiv:0904.2828[hep-th]
Gogberashvili, M., Herrera-Aguilar, A., Malagón-Morejón, D.: Class. Quant. Grav. 29, 025007 (2012). arXiv:1012.4534[hep-th]
Gogberashvili, M., Herrera-Aguilar, A., Malagón-Morejón, D., Mora-Luna, R.R., Nucamendi, U.: Phys. Rev. D 87, 084059 (2013). arXiv:1201.4569[hep-th]
Gogberashvili, M., Herrera-Aguilar, A., Malagón-Morejón, D., Mora-Luna, R.R.: Phys. Lett. B 725, 208 (2013). arXiv:1202.1608[hep-th]
Gogberashvili, M.: JHEP 09, 056 (2012). arXiv:1204.2448[hep-th]
Gogberashvili, M., Midodashvili, P., Midodashvili, L.: Int. J. Mod. Phys. D 21, 1250081 (2012). arXiv:1209.3815[hep-th]
Gogberashvili, M., Midodashvili, P., Midodashvili, L.: Phys. Lett. B 702, 276 (2011). arXiv:1105.1701[hep-th]
Gogberashvili, M., Midodashvili, P., Midodashvili, L.: Phys. Lett. B 707, 169 (2012). arXiv:1105.1866[hep-th]
Gogberashvili, M., Sakhelashvili, O., Tukhashvili, G.: Mod. Phys. Lett. A 28, 1350092 (2013). arXiv:1304.6079[hep-th]
Grossman, Y., Neubert, M.: Phys. Lett. B 474, 361 (2000). arXiv:hep-ph/9912408
Gherghetta, T., Pomarol, A.: Nucl. Phys. B 586, 141 (2000). arXiv:hep-ph/0003129
Rubakov, V.A.: Phys. Usp 44, 871 (2001). arXiv:hep-ph/0104152
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This research was supported by the grant of Shota Rustaveli National Science Foundation #DI/8/6−100/12.
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Gogberashvili, M., Tukhashvili, G. Hierarchy of Fermion Masses in the 5D Standing Wave Braneworld. Int J Theor Phys 54, 1154–1161 (2015). https://doi.org/10.1007/s10773-014-2311-6
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DOI: https://doi.org/10.1007/s10773-014-2311-6