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Prog. Theor. Phys. Vol. 98 No. 6 (1997) pp. 1299-1311
Phenomenological Approach to the Quark Mixing (CKM) Matrix and the Quark Mass Matrices
Shōji Kanemaki and
Izumi Furuoya*
Department of Mathematics, Science University of Tokyo, Tokyo 162
*Department of Physics, Hosei University, Machida 194-02
(Received February 26, 1997)
Abstract:
A new parametrization of the CKM matrix is made, and the quark mass matrices are derived phenomenologically based on the approximate horizontal SU(2) symmetry. By applying Barnhill's method, the quark mass matrices which are consistent with the data for the quark masses and the CKM matrix elements are derived. It is shown that the leading terms of the mass matrices have the simple form of hierarchical structures. The relevant spontaneous symmetry breaking of the horizontal SU(2) symmetry is discussed.
URL :
http://ptp.ipap.jp/link?PTP/98/1299/
DOI : 10.1143/PTP.98.1299
References:
- B. Stech, Phys. Lett. B130 (1983), 189.
H. Harari, H. Haut and J. Weyers, Phys. Lett. B78 (1978), 459.
M. Tanimoto, Phys. Rev. D41 (1990), 1586.
G. C. Branco and L. Lavoura, Phys. Rev. D44 (1991), R582.
R. E. Shrock, Phys. Rev. D45 (1992), R10.
K. Matsumoto, Prog. Theor. Phys. 85 (1991), 1149.
Y. Koide, Phys. Rev. D46 (1992), 2121.
D. Du and Z. Z. Xing, Phys. Rev. D48 (1993), 2349.
- H. Fritzsch, Nucl. Phys. B155 (1979), 189.
- T. Yanagida, Phys. Rev. D20 (1979), 2986.
T. Maehara and T. Yanagida, Prog. Theor. Phys. 61 (1979), 1434.
F. Wilczek and A. Zee, Phys. Rev. Lett. 42 (1979), 421.
M. T. Yamawaki and W. W. Wada, Phys. Rev. D43 (1991), 2432.
K. Bandyopadhyay, D. Choudhury and U. Sarkar, Phys. Rev. D43 (1991), 1646.
D. S. Shaw and R. R. Volkas, Phys. Rev. D47 (1993), 241.
A. Pomarol and D. Tommasini, Nucl. Phys. B466 (1996), 3.
R. Barbieri, G. Dvali and L. J. Hall, Phys. Lett. B377 (1996), 76.
- M. V. Barnhill III, Phys. Rev. D36 (1987), 192.
V. V. Dixit, T. S. Santhanam and W. D. Thacker, Phys. Rev. D43 (1991), 945.
- R. D. Peccei and K. Wang, Phys. Rev. D53 (1996), 2712.
- Particle Data Group, Phys. Rev. D50 (1994), 1315.
- A. J. Buras, M. E. Lautenbacher and G. Ostermaier, Phys. Rev. D50 (1994), 3433.
- C. Hamzaoui, Phys. Rev. Lett. 61 (1992), 35.
- G. Belanger, C. Hamzaoui and Y. Koide, Phys. Rev. D45 (1992), 4186.
- K. Hagiwara, R. D. Peccei, D. Zeppenfeld and K. Hikasa, Nucl. Phys. B282 (1987), 253.
- Y. Koide, H. Fusaoka and C. Habe, Phys. Rev. D46 (1992), R4813.
- M. Leurer, Y. Nir and N. Seiberg, Nucl. Phys. B398 (1993), 319.
- S. L. Glashow and S. Weinberg, Phys. Rev. D15 (1977), 1958.
- Z. G. Berezhiani and L. Lavoura, Phys. Rev. D45 (1992), 934.
- P. M. Fishbane and P. Q. Hung, Phys. Rev. D45 (1992), 293.
K. Wang, Phys. Rev. D54 (1996), 5750.
P. H. Frampton and O. C. W. Kong, Phys. Rev. D55 (1997), 5501.
