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Correlations of the elements of the neutrino mass matrix

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Abstract

Assuming Majorana nature of neutrinos, we re-investigate, in the light of the recent measurement of the reactor mixing angle, the allowed ranges for the absolute values of the elements of the neutrino mass matrix in the basis where the charged-lepton mass matrix is diagonal. Apart from the derivation of upper and lower bounds on the values of the matrix elements, we also study their correlations. Moreover, we analyse the sensitivity of bounds and correlations to the global fit results of the neutrino oscillation parameters which are available in the literature.

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References

  1. DOUBLE-CHOOZ collaboration, Y. Abe et al., Indication for the disappearance of reactor electron antineutrinos in the Double CHOOZ experiment, Phys. Rev. Lett. 108 (2012) 131801 [arXiv:1112.6353] [INSPIRE].

    Article  ADS  Google Scholar 

  2. DAYA-BAY collaboration, F. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].

    Article  ADS  Google Scholar 

  3. RENO collaboration, J. Ahn et al., Observation of reactor electron antineutrino disappearance in the RENO experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].

    Article  ADS  Google Scholar 

  4. T2K collaboration, K. Abe et al., Indication of electron neutrino appearance from an accelerator-produced off-axis muon neutrino beam, Phys. Rev. Lett. 107 (2011) 041801 [arXiv:1106.2822] [INSPIRE].

    Article  ADS  Google Scholar 

  5. MINOS collaboration, P. Adamson et al., Improved search for muon-neutrino to electron-neutrino oscillations in MINOS, Phys. Rev. Lett. 107 (2011) 181802 [arXiv:1108.0015] [INSPIRE].

    Article  ADS  Google Scholar 

  6. D. Forero, M. Tórtola and J. Valle, Global status of neutrino oscillation parameters after recent reactor measurements, arXiv:1205.4018v2.

  7. D. Forero, M. Tórtola and J. Valle, Global status of neutrino oscillation parameters after Neutrino-2012, Phys. Rev. D 86 (2012) 073012 [arXiv:1205.4018v3] [INSPIRE].

    ADS  Google Scholar 

  8. G. Fogli et al., Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254v3] [INSPIRE].

    ADS  Google Scholar 

  9. A. Merle and W. Rodejohann, The elements of the neutrino mass matrix: allowed ranges and implications of texture zeros, Phys. Rev. D 73 (2006) 073012 [hep-ph/0603111] [INSPIRE].

    ADS  Google Scholar 

  10. Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [INSPIRE].

    ADS  Google Scholar 

  11. G. Branco, L. Lavoura and J. Silva, CP violation, Int. Ser. Monogr. Phys. 103 (1999) 1 [INSPIRE].

    Google Scholar 

  12. J. Nelder and R. Mead, A simplex method for function minimization, Comput. J. 7 (1965) 308.

    Article  MATH  Google Scholar 

  13. W. Rodejohann, Neutrinoless double beta decay and neutrino physics, J. Phys. G 39 (2012) 124008 [arXiv:1206.2560] [INSPIRE].

    ADS  Google Scholar 

  14. EXO collaboration, M. Auger et al., Search for neutrinoless double-beta decay in 136 Xe with EXO-200, Phys. Rev. Lett. 109 (2012) 032505 [arXiv:1205.5608] [INSPIRE].

    Article  ADS  Google Scholar 

  15. W. Grimus and P. Ludl, Correlations of the elements of the neutrino mass matrix, arXiv:1209.2601 [INSPIRE].

  16. W. Grimus and P. Ludl, Two-parameter neutrino mass matrices with two texture zeros, arXiv:1208.4515 [INSPIRE].

  17. P. Frampton, S. Glashow and D. Marfatia, Zeroes of the neutrino mass matrix, Phys. Lett. B 536 (2002) 79 [hep-ph/0201008] [INSPIRE].

    ADS  Google Scholar 

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Correspondence to P. O. Ludl.

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ArXiv ePrint: 1209.2601

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Grimus, W., Ludl, P.O. Correlations of the elements of the neutrino mass matrix. J. High Energ. Phys. 2012, 117 (2012). https://doi.org/10.1007/JHEP12(2012)117

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  • DOI: https://doi.org/10.1007/JHEP12(2012)117

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