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Radiative generation of lepton masses

Hiroshi Okada1,* and Kei Yagyu2,†

  • 1School of Physics, KIAS, Seoul 130-722, Korea
  • 2Department of Physics and Center for Mathematics and Theoretical Physics, National Central University, Chungli, Taiwan 32001, Republic of China

  • *hokada@kias.re.kr
  • †keiyagyu@ncu.edu.tw
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Phys. Rev. D 89, 053008 – Published 17 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.053008

Abstract

We propose a new mechanism where both Dirac masses for the charged leptons and Majorana masses for neutrinos are generated via quantum levels. The charged-lepton masses are given by the vacuum expectation values (VEVs) of the Higgs doublet field and that of a triplet field. On the other hand, neutrino masses are generated by two VEVs of triplet Higgs fields. As a result, the hierarchy between the masses for charged leptons and neutrinos can be explained by the triplet VEVs which have to be much smaller than the doublet VEV due to the constraint from the electroweak rho parameter. We construct a concrete model to realize this mechanism with discrete Z2 and Z4 symmetries, in which masses for neutrinos and those for the muon and electron are generated at the one-loop level. As a bonus in our model, the deviation in the measured muon g−2 from the standard model prediction can be explained by contributions of extra particle loops. Besides, the lightest Z2-odd neutral particle can be a dark matter candidate. The collider phenomenology is also discussed, especially focusing on doubly charged scalar bosons which are necessary to introduce to occur our mechanism.

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References (19)

  1. G. Aad et al. (ATLAS Collaboration), Phys. Lett. B 716, 1 (2012); S. Chatrchyan et al. (CMS Collaboration), 716, 30 (2012).
  2. P. W. Higgs, Phys. Rev. Lett. 13, 508 (1964); Phys. Rev. 145, 1156 (1966); F. Englert and R. Brout, Phys. Rev. Lett. 13, 321 (1964); G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble, 13, 585 (1964).
  3. As for one-loop neutrino models, see, e.g., A. Zee, Phys. Lett. 93B, 389 (1980); 95B, 290 (1980); E. Ma, Phys. Rev. D 73, 077301 (2006).
  4. As for two-loop neutrino models, see, e.g., A. Zee, Phys. Lett. B 161, 141 (1985); Nucl. Phys. B264, 99 (1986); K. S. Babu, Phys. Lett. B 203, 132 (1988); M. Aoki, J. Kubo, and H. Takano, Phys. Rev. D 87, 116001 (2013); Y. Kajiyama, H. Okada, and K. Yagyu, Nucl. Phys. B874, 198 (2013).
  5. As for three-loop neutrino models, see, e.g., L. M. Krauss, S. Nasri, and M. Trodden, Phys. Rev. D 67, 085002 (2003); M. Aoki, S. Kanemura, and O. Seto, Phys. Rev. Lett. 102, 051805 (2009); M. Gustafsson, J. M. No, and M. A. Rivera, 110, 211802 (2013); Y. Kajiyama, H. Okada, and K. Yagyu, J. High Energy Phys. 10 (2013) 196.
  6. E. Ma, D. Ng, J. T. Pantaleone, and G.-G. Wong, Phys. Rev. D 40, 1586 (1989); E. Ma, D. Ng, and G.-G. Wong, Z. Phys. C 47, 431 (1990).
  7. T. P. Cheng and L. F. Li, Phys. Rev. D 22, 2860 (1980); J. Schechter and J. W. F. Valle, 22, 2227 (1980); G. Lazarides, Q. Shafi, and C. Wetterich, Nucl. Phys. B181, 287 (1981); R. N. Mohapatra and G. Senjanovic, Phys. Rev. D 23, 165 (1981); M. Magg and C. Wetterich, Phys. Lett. 94B, 61 (1980).
  8. H. Georgi and M. Machacek, Nucl. Phys. B262, 463 (1985); M. S. Chanowitz and M. Golden, Phys. Lett. B 165, 105 (1985).
  9. G. W. Bennett et al. (Muon g−2 Collaboration), Phys. Rev. D 73, 072003 (2006).
  10. F. Jegerlehner and A. Nyffeler, Phys. Rep. 477, 1 (2009).
  11. M. Benayoun, P. David, L. Delbuono, and F. Jegerlehner, Eur. Phys. J. C 72, 1848 (2012).
  12. J. Adam et al. (MEG Collaboration), Phys. Rev. Lett. 110, 201801 (2013).
  13. T. Han, B. Mukhopadhyaya, Z. Si, and K. Wang, Phys. Rev. D 76, 075013 (2007); P. Fileviez Perez, T. Han, G.-y. Huang, T. Li, and K. Wang, 78, 015018 (2008); C.-W. Chiang, T. Nomura, and K. Tsumura, 85, 095023 (2012).
  14. S. Kanemura, K. Yagyu, and H. Yokoya, Phys. Lett. B 726, 316 (2013).
  15. M. Aoki, S. Kanemura, and K. Yagyu, Phys. Lett. B 702, 355 (2011); 706, 495(E) (2012).
  16. Y. Kajiyama, H. Okada, and T. Toma, Eur. Phys. J. C 73, 2381 (2013).
  17. T. Bringmann, X. Huang, A. Ibarra, S. Vogl, and C. Weniger, J. Cosmol. Astropart. Phys. 07 (2012) 054; C. Weniger, 08 (2012) 007.
  18. T. Toma, Phys. Rev. Lett. 111, 091301 (2013); F. Giacchino, L. Lopez-Honorez, and M. H. G. Tytgat, J. Cosmol. Astropart. Phys. 10 (2013) 025.
  19. D. S. Akerib et al. (LUX Collaboration), arXiv:1310.8214 [Phys. Rev. Lett. (to be published)].

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Phys. Rev. D 89, 053008– Published 17 March, 2014
  • Received 24 November 2013

© 2014 American Physical Society

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