Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Sumino, Y ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

Beyond standard model; Gauge symmetry; Quark masses and SM parameters

Indexed keywords

EID: 67649518917     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/075     Document Type: Article

References (34)

1. Y. Koide, 1982 Exactly solvable model of relativistic wave equation and meson spectra, Nuovo Cim. A 70 411 [Erratum ibid A 73 (1983) 327]
2. Particle Data Group collaboration, C. Amsler et al., 2008 Review of particle physics, Phys. Lett. B 667 1
3. R. Foot, A Note on Koide's lepton mass relation, [hep-ph/9402242]
4. Y. Koide, 1983 A new view of quark and lepton mass hierarchy, Phys. Rev. D 28 252
5. S. Esposito and P. Santorelli, 1995 A geometric picture for fermion masses, Mod. Phys. Lett. A 10 3077 [hep-ph/9603369]
6. For a review, see Y. Koide, Challenge to the mystery of the charged lepton mass formula, [hep-ph/0506247]
7. N. Li and B.-Q. Ma, 2006 Energy scale independence of Koide's relation for quark and lepton masses, Phys. Rev. D 73 013009 [hep-ph/0601031]
8. Z.-z. Xing and H. Zhang, 2006 On the Koide-like relations for the running masses of charged leptons, neutrinos and quarks, Phys. Lett. B 635 107 [hep-ph/0602134]
9. E. Ma, 2007 Lepton family symmetry and possible application to the Koide mass formula, Phys. Lett. B 649 287 [hep-ph/0612022]
10. For recent works, see G. Rosen, 2007 Heuristic development of a Dirac-Goldhaber model for lepton and quark structure, Mod. Phys. Lett. A 22 283
11. Y. Koide, 2008 O(3) flavor symmetry and an empirical neutrino mass matrix, Phys. Lett. B 665 227
12. Y. Koide, 2008 Empirical neutrino mass matrix related to up-quark masses, J. Phys. G 35 125004 [0803.3101]
13. Phenomenological meaning of a neutrino mass matrix related to up-quark masses, Phys. Rev. D 78 2008 093006 [0809.2449]
14. Charged lepton mass relations in a supersymmetric Yukawaon model, [0811.3470]
15. N. Haba and Y. Koide, 2008 New origin of a bilinear mass matrix form, Phys. Lett. B 659 260 [0708.3913]
16. N. Haba and Y. Koide, 2008 F-term induced flavor mass spectrum J. High Energy Phys. JHEP06(2008)023 [0801.3301] and references therein
17. Y. Koide, 1990 Charged lepton mass sum rule from U(3) family Higgs potential model, Mod. Phys. Lett. A 5 2319
18. Y. Sumino, 2009 Family gauge symmetry and Koide's mass formula, Phys. Lett. B 671 477 [0812.2090]
19. Y. Koide and M. Tanimoto, 1996 U(3)-family nonet Higgs boson and its phenomenology, Z. Phys. C 72 333 [hep-ph/9505333]
20. Y. Koide and H. Fusaoka, 1996 Top quark mass enhancement in a seesaw type quark mass matrix, Z. Phys. C 71 459 [hep-ph/9505201]
21. Y. Koide and H. Fusaoka, 1996 U(3)-family nonet Higgs boson and its phenomenology, Z. Phys. C 72 333 [hep-ph/9505333]
22. 3 and VEV structure of flavor-triplet Higgs scalars, Phys. Rev. D 73 057901 [hep-ph/0509214]
23. Z.G. Berezhiani and M.Y. Khlopov, 1990 The theory of broken gauge symmetry of generations, Sov. J. Nucl. Phys. 51 739
24. Z.G. Berezhiani and M.Y. Khlopov, 1990 Yad. Fiz. 51 1157
25. S.F. King, 2005 Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification J. High Energy Phys. JHEP08(2005)105 [hep-ph/0506297]
26. I. de Medeiros Varzielas and G.G. Ross, 2006 SU(3) family symmetry and neutrino bi-tri-maximal mixing, Nucl. Phys. B 733 31 [hep-ph/0507176]
27. T. Appelquist, Y. Bai and M. Piai, 2006 Neutrinos and SU(3) family gauge symmetry, Phys. Rev. D 74 076001 [hep-ph/0607174]
28. S. Antusch, S.F. King and M. Malinsky, 2008 Solving the SUSY flavour and CP problems with SU(3) family symmetry J. High Energy Phys. JHEP06(2008)068 [0708.1282] and references therein
29. O.M. Del Cima, D.H.T. Franco and O. Piguet, 1999 Gauge independence of the effective potential revisited, Nucl. Phys. B 551 813 [hep-th/9902084]
30. Earlier works are L. Dolan and R. Jackiw, 1974 Gauge invariant signal for gauge symmetry breaking, Phys. Rev. D 9 2904
31. N.K. Nielsen, 1975 On the gauge dependence of spontaneous symmetry breaking in gauge theories, Nucl. Phys. B 101 173
32. R. Fukuda and T. Kugo, 1976 Gauge invariance in the effective action and potential, Phys. Rev. D 13 3469
33. L.-F. Li, 1974 Group theory of the spontaneously broken gauge symmetries, Phys. Rev. D 9 1723
34. Y. Sumino, in preparation