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Deviation from Tri-bi-maximal mixings with Charged Lepton correction in case of Inverted and Normal Hierarchical Neutrino Mass Models

Author Affiliations

  • 1 Department of Physics, Tezpur University, Napaam, Tezpur-784028, Assam, INDIA

Res. J. Recent Sci., Volume 1, Issue (5), Pages 72-74, May,2 (2012)

Abstract

Deviation from tri-bi-maximal (TBM) mixing is an important topic in the recent neutrino physics. In this paper we try to get non- zero Ue3 without disturbing the atmospheric and solar mixing angles. Present analysis is in case of inverted and normal hierarchical mass models using the charge lepton correction in the PMNS (Pontecorvo-Maki-Nakagawa-Sakata) matrix without CP violating phase. Here we have shown that in this case one can perturb the TBM condition in order to generate a seizable value of Ue3 in the range of 0.6 to 0.8, while at the same time keeping solar neutrino mixing near its measured value, which is close to and the atmosphere neutrino mixing close to sin2θ12 = 1/3 and the atmosphere neutrino mixing close to sin2θ23 = 1/2.

References

  1. Harrison P.F., Perkins D.H. and Scott W.G., Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett., B530, 167 (2002)
  2. Pakvasa S., Rodejohann W. and Weiler T.J., Unitary Parametrization of Perturbations to Tribimaximal Neutrino Mixing, Phy. Rev. Lett., 100, 111801 (2008)
  3. King S.F., Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing, Phys. Lett., B659, 244 (2008)
  4. Li N. and Ma B.Q., Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing Pattern, Phys. Rev., D71, 017302 (2005)
  5. He X. G., Li S.W. and Ma B .Q., Triminimal parametrization of quark mixing matrix, Phys. Rev., D78, 111301 (2008)
  6. Balantekin A.B. and Yilmaz D., Contrasting solar and reactor neutrinos with a non-zero value of theta13, J. Phys., G 35, 075007 (2008)
  7. Ge H.L., Giunti C. and Liu Q.Y., Bayesian constraints on ϑ13 from solar and KamLAND neutrino data, Phys.Rev., D80, 053009 (2009)
  8. Maltoni M. and Schwetz T., Three-flavour neutrino oscillation update and comments on possible hints for a non-zero theta (13), Proceeding of Sci., 072 (2008)
  9. Goswami S., Petcov S.T., Ray S., Rodejohann W., Large U_{e3} and Tri-bimaximal Mixing, Phys. Rev., D80, 053013 (2009)
  10. Rajkhowa M., New parametrisation of tri-bimaximal mixings, Indian J. Phys., 83, 1343 (2009)
  11. Das M.K., Singh N.N. and Patgiri M., Numerical consistency check between two approaches to radiative corrections for neutrino masses and mixings, Pramana J. Phys., 65, 995 (2005)
  12. Singh N.N., Devi H.Z., Sarma A.K. and Patgiri M., Discrimination of neutrino mass models, Indian J. Phys., 84, 751 (2010)
  13. Patgiri M., Singh N.N. and Das M K., Discriminating neutrino mass models using Type-II see-saw formula, Pramana J. Phys., 66, 361 (2006)
  14. Das M.K., Analysis of stability condition on radiative corrections of neutrino masses and leptonic mixing, PhD thesis (unpublished)
  15. Adhikari B. et.al, μ symmetry, tribimaximal mixing and four zero neutrino Yukawa textures, JHEP 10, 040 (2009)
  16. Antusch S. and King S.F., Charged Lepton Corrections to Neutrino Mixing Angles and CP Phases Revisited, Phys. Lett., B631, 42 (2005)
  17. Boudjemaa S. and King S.F., Deviations from Tri-bimaximal Mixing: Charged Lepton Corrections and Renormalization Group Running, Phys. Rev., D79, 033001 (2009)
  18. Giunti C. and Tanimoto M., CP violation in bilarge lepton mixing, Phys. Rev., D66, 113006 (2002)
  19. Giunti C. and Tanimoto M , Deviation of Neutrino Mixing from Bi-maximal, Phys. Rev., D66, 053013 (2002)
  20. Altarelli G., Feruglio F. and Masina I., Can Neutrino Mixings Arise from the Charged Lepton Sector? Nucl. Phys., B689, 157 (2004)
  21. Mohapatra R.N. and Rodejohann W., Broken mu-tau Symmetry and Leptonic CP Violation, Phys. Rev., D72, 053001 (2005)
  22. Frampton P.H., Petcov S.T. and Rodejohann W., On Deviations from Bimaximal Neutrino Mixing, Nucl. Phys., B687, 31 (2004)
  23. Plentinger F. and Rodejohann W., Deviations from Tribimaximal Neutrino Mixing, Phys. Lett., B625, 264 (2005)
  24. Hochmuth K.A., Petcov S.T. and Rodejohann W., UPMNS = Ul+ Uν, Phys. Lett., B654, 177 (2007)
  25. King S.F., Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance, JHEP 09, 011 (2002)