Model of CP violation from an extra dimension

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 9, 2004, Pages

  Chang, Darwin ^a,b   Chen, Chian Shu ^a   Chou, Chung Hsien ^c   Hatanaka, Hisaki ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^b NATIONAL CENTER FOR THEORETICAL SCIENCES   (Taiwan)

^c INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL MODEL; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR MECHANICS; MOLECULAR MODEL; MOLECULAR PHYSICS; QUANTUM THEORY; VACUUM;

EID: 19944430685     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.096010     Document Type: Article

References (23)

1. W. E. Thirring, Acta Phys. Austriaca, 9 256 (1971).
2. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
3. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
4. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
5. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
6. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
7. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
8. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
9. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
10. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
11. C. Wetterich, Nucl. Phys. B 324, 413 (1984); A. Strominger and E. Witten, Commun. Math. Phys. 101 341 (1985); R. Casadio and A. Gruppuso, Phys. Rev. D64 025020 (2001); C-H. Huang, T.-j. Li, W. Liao and Q.-.S Yan, Eur. Phys. J. C 23, 195 (2002); G. C. Branco, A. de Gouvea and M. N. Rebelo, Phys. Lett. B 506 115 (2001); W.-F. Chang and J. N. Ng, J. High Energy Phys. 12 (2002) 077; Y. Sakamura, Nucl. Phys. B 608, 608 (2001); D. Dooling, D. A. Easson, and K. Kang, J. High Energy Phys. 0207 (2002) 036; S. Ichinose, Phys. Rev. D 66 104015 (2002); B. Grzadkowski, J. Wudka, hep-ph/0401232; P.Q. Hung et al., Nucl. Phys. B 653, 123 (2003).hep-ph/0311198.
12. D. Chang and R. N. Mohapatra, Phys. Rev. Lett. 87, 211601 (2001); D. Chang, W.-Y. Keung and R. N. Mohapatra, Phys. Lett. B 515, 431 (2001).
13. D. Chang and R. N. Mohapatra, Phys. Rev. Lett. 87, 211601 (2001); D. Chang, W.-Y. Keung and R. N. Mohapatra, Phys. Lett. B 515, 431 (2001).
14. N. Cosme, J.-M. Frère, and L. L. Honorez, Phys. Rev. D 68 096001 (2003).
15. Y. Hosotani, Phys. Lett. B 126, 309 (1983); Y. Hosotani, Phys. Lett. B 129, 193 (1983).
16. Y. Hosotani, Phys. Lett. B 126, 309 (1983); Y. Hosotani, Phys. Lett. B 129, 193 (1983).
17. N. Cosme and J.-M. Frère, Phys. Rev. D 69 036003 (2004).
18. H. Hatanaka, T. Inami and C. S. Lim, Mod. Phys. Lett. A 13 2513 (1998).
19. S. L. Glashow, in Proceedings of Fifth Workshop on Grand Unification, edited by K. Kang, H. Fried, and P. Frampton (World Scientific, Singapore, 1984) p. 538.
20. 2 = 1), but we do not find it necessary in current model.
21. L = -1.
22. 6y〉 can develop a nonvanishing VEV.
23. A. Masiero and T. Yanagida, hep-ph/9812225. D. Chang and W.-Y. Keung, Phys. Rev. D 70, 051901 (2004).