CP violating phase from charged-lepton mixing

  • J. Alberto AcostaEmail author
  • Alfredo Aranda
  • Julio Virrueta
Open Access


A model independent analysis of the leptonic Dirac CP-violating phase (δ) is presented. The analysis uses the experimentally determined values of the mixing angles in the lepton mixing matrix in order to explore the allowed values for δ and possible general forms for the charged lepton mixing matrix. This is done under two general assumptions: 1) that the mixing matrix in the neutrino sector is the so-called tribimaximal matrix and hence the non zero value for θ 13 arises due to the mixing matrix in the charged lepton sector and 2) the charged lepton mixing matrix is parametrized in terms of three angles and one phase. It is found that any value of δ is still consistent with the data and that, considering the assumptions above, regardless of the value for δ, the 1 − 3 mixing angle in the charged lepton sector is small but non zero and the 2 − 3 mixing angle can take values in only two possible small ranges around 0 and π/2 respectively.


CP violation Beyond Standard Model Neutrino Physics 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


  1. [1]
    DAYA-BAY collaboration, F.P. An et al., Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    RENO collaboration, J.K. Ahn et al., Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].ADSCrossRefGoogle Scholar
  3. [3]
    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].ADSCrossRefGoogle Scholar
  4. [4]
    H. Fritzsch and Z.-Z. Xing, Lepton mass hierarchy and neutrino oscillations, Phys. Lett. B 372 (1996) 265 [hep-ph/9509389] [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    P.F. Harrison, D.H. Perkins and W.G. Scott, Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett. B 530 (2002) 167 [hep-ph/0202074] [INSPIRE].ADSCrossRefGoogle Scholar
  6. [6]
    Z.-z. Xing, Nearly tri bimaximal neutrino mixing and CP-violation, Phys. Lett. B 533 (2002) 85 [hep-ph/0204049] [INSPIRE].ADSGoogle Scholar
  7. [7]
    J.A. Acosta, A. Aranda, M.A. Buen-Abad and A.D. Rojas, Non-diagonal charged lepton mass matrix and non-zero θ 13, Phys. Lett. B 718 (2013) 1413 [arXiv:1207.6093] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    D.V. Forero, M. Tortola and J.W.F. Valle, Global status of neutrino oscillation parameters after Neutrino-2012, Phys. Rev. D 86 (2012) 073012 [arXiv:1205.4018] [INSPIRE].ADSGoogle Scholar
  9. [9]
    T2K collaboration, K. Abe et al., Measurement of Neutrino Oscillation Parameters from Muon Neutrino Disappearance with an Off-axis Beam, Phys. Rev. Lett. 111 (2013) 211803 [arXiv:1308.0465] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    IceCube collaboration, M.G. Aartsen et al., Measurement of Atmospheric Neutrino Oscillations with IceCube, Phys. Rev. Lett. 111 (2013) 081801 [arXiv:1305.3909] [INSPIRE].ADSCrossRefGoogle Scholar
  11. [11]
    T2K collaboration, K. Abe et al., Observation of Electron Neutrino Appearance in a Muon Neutrino Beam, Phys. Rev. Lett. 112 (2014) 061802 [arXiv:1311.4750] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    S. Antusch and S.F. King, Charged lepton corrections to neutrino mixing angles and CP phases revisited, Phys. Lett. B 631 (2005) 42 [hep-ph/0508044] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    D. Marzocca, S.T. Petcov, A. Romanino and M.C. Sevilla, Nonzero |U e3| from Charged Lepton Corrections and the Atmospheric Neutrino Mixing Angle, JHEP 05 (2013) 073 [arXiv:1302.0423] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    Particle Data Group collaboration, J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].ADSGoogle Scholar
  15. [15]
    P.H. Frampton, S.T. Petcov and W. Rodejohann, On deviations from bimaximal neutrino mixing, Nucl. Phys. B 687 (2004) 31 [hep-ph/0401206] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    F. Plentinger and W. Rodejohann, Deviations from tribimaximal neutrino mixing, Phys. Lett. B 625 (2005) 264 [hep-ph/0507143] [INSPIRE].ADSCrossRefGoogle Scholar
  17. [17]
    S. Goswami, S.T. Petcov, S. Ray and W. Rodejohann, Large |U e3| and Tri-bimaximal Mixing, Phys. Rev. D 80 (2009) 053013 [arXiv:0907.2869] [INSPIRE].ADSGoogle Scholar
  18. [18]
    G. Signorelli, Charged Lepton Flavor Violation Experiments, arXiv:1307.8346 [INSPIRE].

Copyright information

© The Author(s) 2014

Authors and Affiliations

  • J. Alberto Acosta
    • 1
    Email author
  • Alfredo Aranda
    • 2
    • 3
  • Julio Virrueta
    • 2
  1. 1.PRISMA Cluster of Excellence, Institut für PhysikJohannes Gutenberg-Universität MainzMainzGermany
  2. 2.Facultad de Ciencias — CUICBAS, Universidad de ColimaColimaMéxico
  3. 3.Dual CP Institute of High Energy PhysicsColimaMéxico

Personalised recommendations