Four-generation model based on an <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">S</mi></mrow><mrow><mn>4</mn></mrow></msub></mrow></math></span> permutation symmetry

Hiroshi Ozaki

doi:10.1103/PhysRevD.40.2425

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Four-generation model based on an $S_{4}$ permutation symmetry

Hiroshi Ozaki

Department of Physics, Tokai University, 1117 Kitakaname, Hiratsuka 259-12, Japan

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Phys. Rev. D 40, 2425 – Published 1 October, 1989

DOI: https://doi.org/10.1103/PhysRevD.40.2425

Abstract

We consider an $S_{4}$ family-symmetry model with four generations of leptons and quarks. A mass relation of the form $\frac{m_{L}}{m_{τ}} = \frac{m_{v}}{m_{b}} = \frac{m_{a}}{m_{t}}$ is obtained. The predicted values of individual 4×4 Kobayashi-Maskawa matrix elements are within recent experimental data. If the charged-lepton mass of the fourth generation is at 30 GeV and the $t$ -quark mass is at 35 GeV, the masses of the $d$ - and $u$ -type quarks of the fourth generation are predicted to be 73±2 GeV and 523±3 GeV, respectively, taking account of the renormalization-group effect.

References (33)

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A. SalamProceedings of the International Symposium on Composite Models of Quarks and Leptons, Tokyo, Japan, 1985, edited by H. Terezawa and M. Yasué (INS, University of Tokyo, Tokyo, 1985)
T. Maehara and T. Yanagida, Prog. Theor. Phys. 60, 822 (1978) F. Wilczek and A. Zee, Phys. Rev. Lett. 42, 421 (1979) T. Yanagida, Phys. Rev. D 20, 2986 (1979)
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G. Segrè and H. A. Weldon, Ann. Phys. (N.Y.) 124, 37 (1980)
K. S. Babu and X.-G. He, Phys. Rev. D 36, 3484 (1987)
S. Pakvasa and H. Sugawara, Phys. Lett. 73B, 61 (1978) ibid.82B, 105 (1979)
Y. Yamanaka, H. Sugawara, and S. Pakvasa, Phys. Rev. D 25, 1895 (1982) ibid.29, 2135(E) (1984)
M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973)
D. J. Gross and F. Wilczeck, Phys. Rev. D 8, 3633 (1973)
J. Yang et al., Astrophys. J. 281, 493 (1984)
E. Ma and J. Okada, Phys. Rev. Lett. 41, 287 (1978) K. J. F. Gaemers, R. Gastmans, and F. M. Renard, Phys. Rev. D 19, 1605 (1979) G. Barbiellini, B. Richter, and J. L. Siegrist, Phys. Lett. 106B, 414 (1981) M. Igarashi and N. Nakazawa, Nucl. Phys. B288, 301 (1987) F. A. Berends et al., ibid. B301, 583 (1988)
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V. Barger, H. Baer, K. Hagiwara, and R. J. N. Phillips, Phys. Rev. D 30, 947 (1984)
Omitted endnote
T. Brown, S. Pakvasa, H. Sugawara, and Y. Yamanaka, Phys. Rev. D 30, 255 (1984)
T. Brown, N. Deshpande, S. Pakvasa, and H. Sugawara, Phys. Lett. 141B, 95 (1984)
S. Pakvasa and H. Sugawara, Phys. Lett. 73B, 61 (1978)
H. Georgi and H. D. Politzer, Phys. Rev. D 14, 1829 (1976)
K. Kanaya, H. Sugawara, S. Pakvasa, and S. F. Tuan, Phys. Lett. 116B, 61 (1982) K. Kanaya, Phys. Rev. D 26, 1758 (1982) S. Pakvasa, in Third Workshop on a Grand Unification, edited by A. Jaffe and D. Rulle (University of North Carolina, Chapel Hill, 1982), p. 348
Particle Data Group, G. P. Yost et al., Phys. Lett. B 204, 1 (1988)
S. L. Wu, in Particle Physics: Cargese 1987, proceedings of the NATO Advanced Study Institute on Particle Physics, Cargese, France, 1987, edited by M. Levy, J-L. Basdevant, M. Jacob, D. Speiser, J. Weyers, and R. Gastmans (NATO ASI, Series B: Physics, Vol. 173) (Plenum, New York, 1988), p. 369
ARGUS Collaboration, W. Schmidt-Parzefall, in Lepton and Photon Interactions, proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, Hamburg, West Germany, 1987, edited by W. Bartel and R. Rück [Nucl. Phys. B (Proc. Suppl.) 3, (1987)] CLEO Collaboration, S. Behrends et al., Phys. Rev. Lett. 59, 407 (1987)
Omitted endnote
UA1 Collaboration, C. Albajar et al., Phys. Lett. B 185, 241 (1987) TOPAZ Collaboration, I. Adachi et al., Phys. Rev. D 37, 1339 (1988) AMY Collaboration, G. N. Kim et al., Phys. Rev. Lett. 61, 911 (1988) VENUS Collaboration, K. Abe et al., ibid. 61, 915 (1988)
G. Arnison et al., Phys. Lett. 147B, 493 (1984) VENUS Collaboration, H. Yoshida et al., Phys. Lett. B 198, 570 (1987) VENUS Collaboration, K. Abe et al., J. Phys. Soc. Jpn. 56, 3769 (1987) AMY Collaboration, H. Sagawa et al., Phys. Rev. Lett. 60, 93 (1988) TOPAZ Collaboration, I. Adachi et al., ibid. 60, 97 (1988)
M. Shin, R. S. Chivukula, and J. M. Flynn, Nucl. Phys. B271, 509 (1986) M. Shin, Phys. Lett. B 201, 599 (1988)
M. Tanimoto and A. Takatsu, Phys. Rev. D 34, 1474 (1986)
K. Kang and M. Shin, Phys. Lett. 165B, 383 (1985)
M. Gronau and J. Schechter, Phys. Rev. D 31, 1668 (1985) A. A. Anselm et al., Phys. Lett. 156B, 102 (1985) W.-S. Hou, A. Soni, and H. Steger, Phys. Lett. B 192, 441 (1987)
R. Casalbuoni, D. Dominici, F. Ferugio, and R. Gatto, Nucl. Phys. B299, 117 (1988)
M. Veltman, Nucl. Phys. B123, 89 (1977) M. S. Chanowitz, M. A. Furman, and I. Hinchliffe, Phys. Lett. 78B, 285 (1978)

[c1] S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967) A. Salam, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobal Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367

[c2] A. SalamProceedings of the International Symposium on Composite Models of Quarks and Leptons, Tokyo, Japan, 1985, edited by H. Terezawa and M. Yasué (INS, University of Tokyo, Tokyo, 1985)

[c3] T. Maehara and T. Yanagida, Prog. Theor. Phys. 60, 822 (1978) F. Wilczek and A. Zee, Phys. Rev. Lett. 42, 421 (1979) T. Yanagida, Phys. Rev. D 20, 2986 (1979)

[c4] S. Pakvasa and H. Sugawara, Phys. Lett. 73B, 61 (1978) R. Barbieri, R. Gatto, and F. Strocchi, ibid. 74B, 344 (1978) R. Gatto, G. Morchio, and F. Strocchi, ibid. 80B, 265 (1979) ibid.83B, 348 (1979) G. Sartori, ibid. 82B, 255 (1979) G. Segrè, H. A. Weldon, and J. Weyers, ibid. 83B, 851 (1979) D. Grosser, ibid. 83B, 855 (1979) D. Wyler, Phys. Rev. D 19, 3369 (1979) E. Derman and H.-S. Tsao, ibid. 20, 1207 (1979) R. Gatto et al., Nucl. Phys. B163, 221 (1980) N. Honzawa et al., Prog. Theor. Phys. 70, 1624 (1983) M. V. Barnhill III, Phys. Lett. 151B, 257 (1985) J.-L. L. Li and R.-Y. Zhou, Phys. Rev. D 35, 2261 (1987)

[c5] G. Segrè and H. A. Weldon, Ann. Phys. (N.Y.) 124, 37 (1980)

[c6] K. S. Babu and X.-G. He, Phys. Rev. D 36, 3484 (1987)

[c7] S. Pakvasa and H. Sugawara, Phys. Lett. 73B, 61 (1978) ibid.82B, 105 (1979)

[c8] Y. Yamanaka, H. Sugawara, and S. Pakvasa, Phys. Rev. D 25, 1895 (1982) ibid.29, 2135(E) (1984)

[c9] M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973)

[c10] D. J. Gross and F. Wilczeck, Phys. Rev. D 8, 3633 (1973)

[c11] J. Yang et al., Astrophys. J. 281, 493 (1984)

[c12] E. Ma and J. Okada, Phys. Rev. Lett. 41, 287 (1978) K. J. F. Gaemers, R. Gastmans, and F. M. Renard, Phys. Rev. D 19, 1605 (1979) G. Barbiellini, B. Richter, and J. L. Siegrist, Phys. Lett. 106B, 414 (1981) M. Igarashi and N. Nakazawa, Nucl. Phys. B288, 301 (1987) F. A. Berends et al., ibid. B301, 583 (1988)

[c13] ARGUS Collaboration, H. Albrecht et al., Phys. Lett. B 192, 245 (1987)

[c14] A. Ali, DESY Report No. 83, 1987 (unpublished) J. Maalampi and M. Roos, Phys. Lett. B 195, 489 (1987) W.-S. Hou and A. Soni, ibid. 196, 92 (1987) M. Tanimoto, Y. Suetaka, and K. Senda, Z. Phys. C 40, 539 (1988) J. Ellis, J. Hagelin, and S. Rudaz, Phys. Lett. B 192, 201 (1987) Nucl. Phys. B304, 205 (1988) X.-G. He and S. Pakvasa, Phys. Lett. B 194 132 (1987) I. I. Bigi and A. I. Sanda, ibid. 194, 307 (1987) V. Barger, T. Han, D. V. Nanopoulos, and R. J. N. Phillips, ibid. 194, 312 (1987) J. F. Donogue, T. Nakada, E. A. Paschos, and D. Wyler, ibid. 195, 285 (1987) L. Angelini, L. Nitti, M. Pellicoro, and G. Preparata, ibid. 195, 469 (1987) H. Harari and Y. Nir, ibid. 195, 586 (1987) A. Datta, E. A. Paschos, and V. Türke, ibid. 196, 376 (1987) D. Du and Z. Zhao, Phys. Rev. Lett. 59. 1072 L. L. Chau and W. Y. Keung, University of California at Davis Report No. 2, 1987 (unpublished) M. Tanimoto, Z. Phys. C 36, 193 (1987) G. Altarelli and P. J. Franzini, ibid. 37, 271 (1988) J. R. Cudell, F. Halzen, X.-G. He, and S. Pakvasa, University of Wisconsin-Madison Report No. PH-376, 1987 (unpublished) J. Liu and L. Wolfenstein, Phys. Lett. B 197, 536 (1987) S. Bertolini, F. Borzumati, and A. Masiero, ibid. 194, 545 (1987) G. Altarelli and P. J. Franzini, Z. Phys. C 37, 271 (1988) J. N. Webb, ibid. 37, 425 (1988) S. L. Glashow and E. E. Jenkins, Phys. Lett. B 196, 233 (1987)

[c15] V. Barger, H. Baer, K. Hagiwara, and R. J. N. Phillips, Phys. Rev. D 30, 947 (1984)

[c16] Omitted endnote

[c17] T. Brown, S. Pakvasa, H. Sugawara, and Y. Yamanaka, Phys. Rev. D 30, 255 (1984)

[c18] T. Brown, N. Deshpande, S. Pakvasa, and H. Sugawara, Phys. Lett. 141B, 95 (1984)

[c19] S. Pakvasa and H. Sugawara, Phys. Lett. 73B, 61 (1978)

[c20] H. Georgi and H. D. Politzer, Phys. Rev. D 14, 1829 (1976)

[c21] K. Kanaya, H. Sugawara, S. Pakvasa, and S. F. Tuan, Phys. Lett. 116B, 61 (1982) K. Kanaya, Phys. Rev. D 26, 1758 (1982) S. Pakvasa, in Third Workshop on a Grand Unification, edited by A. Jaffe and D. Rulle (University of North Carolina, Chapel Hill, 1982), p. 348

[c22] Particle Data Group, G. P. Yost et al., Phys. Lett. B 204, 1 (1988)

[c23] S. L. Wu, in Particle Physics: Cargese 1987, proceedings of the NATO Advanced Study Institute on Particle Physics, Cargese, France, 1987, edited by M. Levy, J-L. Basdevant, M. Jacob, D. Speiser, J. Weyers, and R. Gastmans (NATO ASI, Series B: Physics, Vol. 173) (Plenum, New York, 1988), p. 369

[c24] ARGUS Collaboration, W. Schmidt-Parzefall, in Lepton and Photon Interactions, proceedings of the International Symposium on Lepton and Photon Interactions at High Energies, Hamburg, West Germany, 1987, edited by W. Bartel and R. Rück [Nucl. Phys. B (Proc. Suppl.) 3, (1987)] CLEO Collaboration, S. Behrends et al., Phys. Rev. Lett. 59, 407 (1987)

[c25] Omitted endnote

[c26] UA1 Collaboration, C. Albajar et al., Phys. Lett. B 185, 241 (1987) TOPAZ Collaboration, I. Adachi et al., Phys. Rev. D 37, 1339 (1988) AMY Collaboration, G. N. Kim et al., Phys. Rev. Lett. 61, 911 (1988) VENUS Collaboration, K. Abe et al., ibid. 61, 915 (1988)

[c27] G. Arnison et al., Phys. Lett. 147B, 493 (1984) VENUS Collaboration, H. Yoshida et al., Phys. Lett. B 198, 570 (1987) VENUS Collaboration, K. Abe et al., J. Phys. Soc. Jpn. 56, 3769 (1987) AMY Collaboration, H. Sagawa et al., Phys. Rev. Lett. 60, 93 (1988) TOPAZ Collaboration, I. Adachi et al., ibid. 60, 97 (1988)

[c28] M. Shin, R. S. Chivukula, and J. M. Flynn, Nucl. Phys. B271, 509 (1986) M. Shin, Phys. Lett. B 201, 599 (1988)

[c29] M. Tanimoto and A. Takatsu, Phys. Rev. D 34, 1474 (1986)

[c30] K. Kang and M. Shin, Phys. Lett. 165B, 383 (1985)

[c31] M. Gronau and J. Schechter, Phys. Rev. D 31, 1668 (1985) A. A. Anselm et al., Phys. Lett. 156B, 102 (1985) W.-S. Hou, A. Soni, and H. Steger, Phys. Lett. B 192, 441 (1987)

[c32] R. Casalbuoni, D. Dominici, F. Ferugio, and R. Gatto, Nucl. Phys. B299, 117 (1988)

[c33] M. Veltman, Nucl. Phys. B123, 89 (1977) M. S. Chanowitz, M. A. Furman, and I. Hinchliffe, Phys. Lett. 78B, 285 (1978)

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Four-generation model based on an $S_{4}$ permutation symmetry

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Four-generation model based on an S4 permutation symmetry

Abstract

References (33)

Four-generation model based on an $S_{4}$ permutation symmetry