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Some constraints on the Yukawa parameters in the neutrino modification of the Standard Model (νMSM) and CP-violation

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Abstract

The equations connecting elements of the Yukawa matrix to elements of the active neutrino mass matrix in the νMSM theory (an extension of the Standard Model by a singlet of three right-handed neutrinos) was analyzed, and explicit relations for the ratio of the Yukawa matrix elements and elements of the active neutrino mass matrix were obtained. This relation can be used for getting more accurate constraints on the model parameters. Particularly, with the help of the obtained results we investigated CP-violating phase in the νMSM theory. We demonstrate that even in the case when elements of the active neutrino mass matrix are real the baryon asymmetry can be generated also.

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References

  1. S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967)

    Article  ADS  Google Scholar 

  2. S.L. Glashow, Nucl. Phys. 22, 579 (1961)

    Article  Google Scholar 

  3. A. Salam, in Proceedings of the Nobel Symposium Held 1968 at Lerum, Sweden, Stockholm (1968), pp. 367–377

    Google Scholar 

  4. A. Boyarsky, O. Ruchayskiy, M. Shaposhnikov, Ann. Rev. Nucl. Part. Sci. 59, 191 (2009)

    Article  ADS  Google Scholar 

  5. Particle Data Group. http://pdg.lbl.gov

  6. A. Strumia, F. Vissani, arXiv:hep-ph/0606054

  7. T. Asaka, S. Blanchet, M. Shaposhnikov, Phys. Lett. B 631, 151 (2005)

    Article  ADS  Google Scholar 

  8. M. Shaposhnikov, Prog. Theor. Phys. 122(1), 185 (2009)

    Article  MATH  ADS  Google Scholar 

  9. T. Asaka, M. Shaposhnikov, Phys. Lett. B 620, 17 (2005)

    Article  ADS  Google Scholar 

  10. R.N. Mohapatra, A.Y. Smirnov, Ann. Rev. Nucl. Sci. 56, 569 (2006)

    Article  ADS  Google Scholar 

  11. S.F. King, Rep. Prog. Phys. 67, 107 (2004)

    Article  ADS  Google Scholar 

  12. G. Altarelli, F. Feruglio, New J. Phys. 6, 106 (2004)

    Article  ADS  Google Scholar 

  13. S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979)

    Article  ADS  Google Scholar 

  14. M. Shaposhnikov, arXiv:0804.4542

  15. S. Bilenky, S. Petcov, Rev. Mod. Phys. 59(3), 671 (1987)

    Article  ADS  Google Scholar 

  16. M. Shaposhnikov, Nucl. Phys. B 763, 49 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. S. Bilenky, C. Giunti, W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999)

    Article  ADS  Google Scholar 

  18. A.D. Sakharov, JETP Lett. 5, 24 (1967)

    ADS  Google Scholar 

  19. E.K. Akhmedov, V.A. Rubakov, A.Y. Smirnov, Phys. Rev. Lett. 81, 1359 (1998)

    Article  ADS  Google Scholar 

  20. V.A. Kuzmin, V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 155, 36 (1985)

    Article  ADS  Google Scholar 

  21. V.A. Kuzmin, V.A. Rubakov, M.E. Shaposhnikov, Phys. Lett. B 191, 171 (1987)

    Article  ADS  Google Scholar 

  22. S.Y. Khlebnikov, M.E. Shaposhnikov, Phys. Lett. B 387, 817 (1996)

    Article  ADS  Google Scholar 

  23. J.W. den Herder et al., arXiv:0906.1788

  24. X. Shi, G.M. Fuller, Phys. Rev. Lett. 82, 2832 (1999)

    Article  ADS  Google Scholar 

  25. A. Roy, M. Shaposhnikov, arXiv:1006.4008

  26. M. Shaposhnikov, I. Tkachev, Phys. Lett. B 639, 414 (2006)

    Article  ADS  Google Scholar 

  27. A. Kusenko, Phys. Rev. Lett. 97, 241301 (2006)

    Article  ADS  Google Scholar 

  28. A. Anisimov, Y. Bartocci, F.L. Bezrukov, Phys. Lett. B 671, 211 (2009)

    Article  ADS  Google Scholar 

  29. F. Bezrukov, D. Gorbunov, J. High Energy Phys. 05, 010 (2010)

    Article  ADS  Google Scholar 

  30. F. Bezrukov, D. Gorbunov, M. Shaposhnikov, J. Cosmol. Astropart. Phys. 0906, 029 (2009)

    Article  ADS  Google Scholar 

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Correspondence to Volodymyr M. Gorkavenko.

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Gorkavenko, V.M., Vilchynskiy, S.I. Some constraints on the Yukawa parameters in the neutrino modification of the Standard Model (νMSM) and CP-violation. Eur. Phys. J. C 70, 1091–1098 (2010). https://doi.org/10.1140/epjc/s10052-010-1488-y

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  • DOI: https://doi.org/10.1140/epjc/s10052-010-1488-y

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