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CP Violation in the models of fermion localization on a domain wall (brane)

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Abstract

We briefly review the mechanism of fermion localization on a domain wall (“thick brane”) generated by a topologically nontrivial vacuum configuration of scalar fields. We propose an extension of the scalar field coupling to fermions that endows the fermions with an axial mass. In the case of several flavors and fermion generations, this extension can lead to the appearance of the Standard Model Cabibbo-Kobayashi-Maskawa matrix. We also consider a model with two scalar doublets that ensures an additional mechanism of CP-parity violation.

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References

  1. V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. B, 125, 136–138 (1983); Phys. Lett. B, 125, 139–143 (1983).

    Article  ADS  Google Scholar 

  2. V. A. Rubakov, Phys. Usp., 44, 871–893 (2001); 46, 211–218 (2003).

    Article  ADS  Google Scholar 

  3. A. O. Barvinsky, Phys. Usp., 48, 545–575 (2005).

    Article  ADS  Google Scholar 

  4. R. Maartens, Living Rev. Relativ., 7, Irr-2004-7 (2004).

  5. A. A. Andrianov, V. A. Andrianov, P. Giacconi, and R. Soldati, JHEP, 0307, 063 (2003); arXiv:hep-ph/0305271v3 (2003); Theor. Math. Phys., 148, 880–894 (2006).

    Article  ADS  Google Scholar 

  6. R. Koley and S. Kar, Class. Q. Grav., 22, 753–768 (2005); arXiv:hep-th/0407158v1 (2004).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. A. Melfo, N. Pantoja, and J. D. Tempo, Phys. Rev. D, 73, 044033 (2006); arXiv:hep-th/0601161v1 (2006); O. Castillo-Felisola and I. Schmidt, Phys. Rev. D, 82, 124062 (2010); arXiv:1008.1281v2 [hep-th] (2010).

    Article  MathSciNet  ADS  Google Scholar 

  8. D. Bazeia, F. A. Brito, and R. C. Fonseca, Eur. Phys. J. C, 63, 163–170 (2009); arXiv:0809.3048v3 [hep-th] (2008).

    Article  ADS  Google Scholar 

  9. Y.-X. Liu, H.-T. Li, Z.-H. Zhao, J.-X. Li, and J.-R. Ren, JHEP, 0910, 091 (2009); arXiv:0909.2312v1 [hep-th] (2009).

    Article  ADS  Google Scholar 

  10. C. A. S. Almeida, R. Casana, M. M. Ferreira Jr., and A. R. Gomes, Phys. Rev. D, 79, 125022 (2009); arXiv:0901.3543v2 [hep-th] (2009).

    Article  MathSciNet  ADS  Google Scholar 

  11. A. A. Andrianov, N. V. Borisov, and M. V. Ioffe, JETP Lett., 39, 93–97 (1984); Phys. Lett. A, 105, 19–22 (1984); Theor. Math. Phys., 61, 1078–1088 (1984).

    ADS  Google Scholar 

  12. A. A. Andrianov, V. A. Andrianov, P. Giacconi, and R. Soldati, JHEP, 0507, 003 (2005); arXiv:hep-th/0503115v2 (2005); A. A. Andrianov, V. A. Andrianov, and A. V. Safonov, J. Math. Sci. (N. Y.), 168, 772–780 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  13. A. A. Andrianov, V. A. Andrianov, and O. O. Novikov, “Localization of scalar fields on self-gravitating thick branes,” arXiv:1210.3698v3 [hep-th] (2012).

    Google Scholar 

  14. M. Giovannini, Phys. Rev. D, 64, 064023 (2001); arXiv:hep-th/0106041v1 (2001).

    Article  MathSciNet  ADS  Google Scholar 

  15. A. A. Andrianov and L. Vecchi, Phys. Rev. D, 77, 044035 (2008); arXiv:0711.1955v2 [hep-th] (2007).

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to A. A. Andrianov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 3, pp. 347–356, June, 2013.

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Andrianov, A.A., Andrianov, V.A. & Novikov, O.O. CP Violation in the models of fermion localization on a domain wall (brane). Theor Math Phys 175, 735–743 (2013). https://doi.org/10.1007/s11232-013-0059-4

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