Complete parameter space of quark mass matrices with four texture zeros

Journal of Physics G: Nuclear and Particle Physics

Volumn 30, Issue 2, 2004, Pages 129-136

  Xing, Zhi Zhong ^a,b   Zhang, He ^b  

^a CCAST WORLD LABORATORY   (China)

^b INSTITUTE OF HIGH ENERGY PHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1042290853     PISSN: 09543899     EISSN: None     Source Type: Journal    
DOI: 10.1088/0954-3899/30/2/011     Document Type: Article

References (39)

1. For a recent review with extensive references, see Fritzsch H and Xing Z Z 2000 Prog. Part. Nucl. Phys. 45 1
2. Fritzsch H 1979 Nucl. Phys. B 155 189
3. Fritzsch H and Xing Z Z 1999 Nucl. Phys. B 556 49 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147
4. Fritzsch H and Xing Z Z 1999 Nucl. Phys. B 556 49 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147
5. Fritzsch H 1987 Phys. Lett. B 184 391 Fritzsch H and Xing Z Z 1997 Phys. Lett. B 413 396 Fritzsch H and Xing Z Z 1998 Phys. Rev. D 57 594
6. Fritzsch H 1987 Phys. Lett. B 184 391 Fritzsch H and Xing Z Z 1997 Phys. Lett. B 413 396 Fritzsch H and Xing Z Z 1998 Phys. Rev. D 57 594
7. Fritzsch H 1987 Phys. Lett. B 184 391 Fritzsch H and Xing Z Z 1997 Phys. Lett. B 413 396 Fritzsch H and Xing Z Z 1998 Phys. Rev. D 57 594
8. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
9. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
10. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
11. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
12. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
13. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
14. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
15. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
16. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
17. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
18. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
19. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
20. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
21. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
22. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
23. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
24. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
25. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
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27. See, e.g. Du D and Xing Z Z 1993 Phys. Rev. D 48 2349 Hall L J and Rasin A 1993 Phys. Lett. B 315 164 Fritzsch H and Holtmanspötter D 1994 Phys. Lett. B 338 290 Fritzsch H and Xing Z Z 1995 Phys. Lett. B 353 114 Gill P S and Gupta M 1995 J. Phys. G: Nucl. Part. Phys. 21 1 Gill P S and Gupta M 1997 Phys. Rev. D 56 3143 Lehmann H, Newton C and Wu T T 1996 Phys. Lett. B 384 249 Xing Z Z 1997 J. Phys. G: Nucl. Part. Phys. 23 1563 Kang K and Kang S K 1997 Phys. Rev. D 56 1511 Kobayashi T and Xing Z Z 1997 Mod. Phys. Lett. A 12 561 Kobayashi T and Xing Z Z 1998 Int. J. Mod. Phys. A 13 2201 Chkareuli J L and Froggatt C D 1999 Phys. Lett. B 450 158 Chkareuli J L and Froggatt C D 2002 Nucl. Phys. B 626 307 Mondragón A and Rodriguez-Jáuregui E 1999 Phys. Rev. D 59 093009 Nishiura H, Matsuda K and Fukuyama T 1999 Phys. Rev. D 60 013006 Branco G C, Emmanuel-Costa D and Gonzalez Felipe R 2000 Phys. Lett. B 477 147 Chiu S H, Kuo T K and Wu G H 2000 Phys. Rev. D 62 053014 Fritzsch H and Xing Z Z 2000 Phys. Rev. D 61 073016 Fritzsch H and Xing Z Z 2001 Phys. Lett. B 506 109 Rosenfeld R and Rosner J L 2001 Phys. Lett.-B 516 408 Roberts R G, Romanino A, Ross G G and Velasco-Sevilla L 2001 Nucl. Phys. B 615 358
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