Abstract
We investigate the implications of a seesawtype mass matrix, i.e.,M f⋍m LM −1 F m R, for quarks and leptonsf under the assumption that the matricesm L andm R are common to all flavors (up-/down- and quark-/lepton-sectors) and the matricesM F characterizing the heavy fermion sectors have the form [(unit matrix)+b f (a democratic matrix)] whereb f is a flavor parameter. We find that by adjusting the complex parameterb f, the model can provide thatm t≫m b while at the same time keepingm u∼m d without assuming any parameter with hierarchically different values betweenM U andM D. The model with three adjustable parameters under the “maximal” top-quark-mass enhancement can give reasonable values of five quark-mass ratios and four KM matrix parameters.
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The seesaw mechanism has originally proposed for the purpose of explaining why neutrino masses are so invisibly small: T. Yanagida: in Proc. Workshop of the Unified Theory and Baryon Number in the Universe, edited by A. Sawada and A. Sugamoto (KEK, 1979); M. Gell-Mann, P. Rammond, R. Slansky: inSupergravity, edited by P. van Nieuwenhuizen and D. Z. Freedman (North-Holland, 1979); R. Mohapatra, G. Senjanovic: Phys. Rev. Lett. 44 (1980) 912
For applications of the seesaw mechanism to the quark mass matrix, see, for example, Z. G. Berezhiani: Phys. Lett. 129B (1983) 99; Phys. Lett. 150B (1985) 177; D. Chang, R. N. Mohapatra: Phys. Rev. Lett. 58 (1987) 1600; A. Davidson, K. C. Wali: Phys. Rev. Lett. 59 (1987) 393; S. Rajpoot: Mod. Phys. Lett. A2 (1987) 307; Phys. Lett. 191B (1987) 122; Phys. Rev. D36 (1987) 1479; K. B. Babu, R. N. Mohapatra: Phys. Rev. Lett. 62 (1989) 1079; Phys. Rev. D41 (1990) 1286; S. Ranfone: Phys. Rev. D42 (1990) 3819; A. Davidson, S. Ranfone, K. C. Wali: Phys. Rev. D41 (1990) 208; I. Sogami, T. Shinohara: Prog. Theor. Phys. 66 (1991) 1031; Phys. Rev. D47 (1993) 2905; Z. G. Berezhiani, R. Rattazzi: Phys. Lett. B279 (1992) 124; P. Cho: Phys. Rev. D48 (1994) 5331; A. Davidson, L. Michel, M. L, Sage, K. C. Wali: Phys. Rev. D49 (1994) 1378; W. A. Ponce, A. Zepeda, R. G. Lozano: Phys. Rev. D49 (1994) 4954
Y. Koide, Phys. Rev. D49 (1994) 2638
H. Harari, H. Haut, J. Weyers: Phys. Lett. B78 (1978) 459; T. Goldman: in Gauge Theories, Massive Neutrinos and Proton Decays, edited by A. Perlumutter (Plenum Press, New York, 1981), p. 111; T. Goldman, G. J. Stephenson, Jr.: Phys. Rev. D24 (1981) 236; Y. Koide: Phys. Rev. Lett. 47 (1981) 1241; Phys. Rev. D28 (1983) 252; 39 (1989) 1391; C. Jarlskog: in Proceedings of the International Symposium on Production and Decays of Heavy Hadrons, Heidelberg, Germany, 1986 edited by K.R. Schubert, R. Waldi (DESY, Hamburg): 1986, p.331; P. Kaus, S. Meshkov: Mod. Phys. Lett. A3 (1988) 1251; Phys. Rev. D42 (1990) 1863; L. Lavoura: Phys. Lett. B228 (1989) 245; M. Tanimoto: Phys. Rev. D41 (1990) 1586; H. Fritzsch, J. Plankl: Phys. Lett. B237 (1990) 451; Y. Nambu: in Proceedings of the International Workshop on Electroweak Symmetry Breaking, Hiroshima, Japan, (World Scientific, Singapore, 1992), p.1
Y. Koide: Mod. Phys. Lett. A8 (1993) 2071
H. Fusaoka, Y. Koide: Mod. Phys. Lett. A10 (1995) 289
M. Kobayashi, T. Maskawa: Prog. Theor. Phys. 49 (1973) 652
CDF collaboration, F. Abe et al., Phys. Rev. Lett. 73 (1994) 225; Phys. Rev. D50 (1994) 2966
A seesaw neutrino mass matrix with a democratic-type matrixM F was first discussed by Goldman and Stephenson in ref. [4]. Their interest, however, was not in the quark mass matrix, and their matrixM F does not include the unit matrix part, which is different from (2.2)
H. Harari, H. Haut and J. Weyers: Phys. Lett. B78 (1978) 459
P. Kaus, S. Meshkov: Mod. Phys. Lett. A3 (1988) 1251; Phys. Rev. D42 (1990) 1863; Y. Nambu: in Proceedings of the International Workshop on Electroweak Symmetry Breaking, Hiroshima, Japan, (World Scientific, Singapore, 1992), p. 1
Y. Koide: Phys. Rev. Lett. 47 (1981) 1241
Particle data group, Phys. Rev. D50 (1994) 1173
For the light quark massesm q(μ), we have used the values atμ=1 GeV,m u=5.6 ± 1.1 MeV,m d = 9.9 ± 1.1 MeV andm s = 199 ± 33 MeV: C. A.Dominquez and E. de Rafael: Annals of Physics 174 (1987) 372. However, the absolute values of light quark masses should not be taken solidly because they depend on models. Form c(μ) andm b(μ), we have used the valuem c(m c) = 1.26 ± 0.02 GeV by S. Narison: Phys. Lett. B216 (1989) 191, and the valuem b(m b) = 4.72 ± 0.05 GeV by C. A. Dominquez, N. Paver: Phys. Lett. B293 (1992) 197. For the top quark mass, we have usedM t/pole = 174 ± 10 +13−12 GeV from the CDF experiment [8]
P. Langacker and S. U. Sankar: Phys. Rev. D40 (1989) 1569
C. Jarlskog: Phys. Rev. Lett. 55 (1985) 1839; O. W. Greenberg: Phys. Rev. D32 (1985) 1841; I. Dunietz, O. W. Greenberg, D.-d. Wu: Phys. Rev. Lett. 55 (1985) 2935; C. Hamzaoui, A. Barroso: Phys. Lett. 154B (1985) 202; D.-d. Wu: Phys. Rev. D33 (1986) 860
S. L. Glashow, J. Iliopulos, L. Maiani: Phys. Rev. D2 (1970) 1285
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Koide, Y., Fusaoka, H. Top-quark-mass enhancement in a seesaw-type quark mass matrix. Z. Phys. C - Particles and Fields 71, 459–467 (1996). https://doi.org/10.1007/BF02907004
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DOI: https://doi.org/10.1007/BF02907004