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Bimaximal mixing

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Bimaximal mixing refers to a proposed form of the lepton mixing matrix.[1][2] It is characterized by the neutrino being a bimaximal mixture of and and being completely decoupled from the , i.e. a uniform mixture of and . The is consequently a uniform mixture of and . Other notable properties are the symmetries between the and flavours and and mass eigenstates and an absence of CP violation. The moduli squared of the matrix elements have to be:

.

According to PDG convention[3]: 7 , bimaximal mixing corresponds to and , which produces following matrix:[4]: 24 

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Alternatively, and can be used, which corresponds to:[2]: 5 

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Phenomenology

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The L/E flatness of the electron-like event ratio at Super-Kamiokande severely restricts the CP-conserving neutrino mixing matrices to the form:[5]: 7 

Bimaximal mixing corresponds to . Tribimaximal mixing and golden-ratio mixing also correspond to an angle in the above parametrization.[6] Bimaximal mixing, along with these other mixing schemes, have been falsified by a non-zero .[7]

See also

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References

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  1. ^ F. Vissani (1997). "A study of the scenario with nearly degenerate Majorana neutrinos". arXiv:hep-ph/9708483.
  2. ^ a b V. D. Barger; S. Pakvasa; T. J. Weiler; K. Whisnant (1998). "Bimaximal mixing of three neutrinos". Physics Letters B. 437 (1–2): 107–116. arXiv:hep-ph/9806387. Bibcode:1998PhLB..437..107B. CiteSeerX 10.1.1.345.3379. doi:10.1016/S0370-2693(98)00880-6. S2CID 14622000.
  3. ^ Gonzalez-Garcia, M.C.; Yokoyama, M. (August 2019). "14. Neutrino Masses, Mixing, and Oscillations" (PDF). Retrieved 16 June 2021.
  4. ^ King, Steve (August 2014). "Neutrino Mass Models - Lecture 1: Lepton Mixing" (PDF). Retrieved 16 June 2021.
  5. ^ I. Stancu & D. V. Ahluwalia (1999). "L/E-Flatness of the Electron-Like Event Ratio in Super-Kamiokande and a Degeneracy in Neutrino Masses". Physics Letters B. 460 (3–4): 431–436. arXiv:hep-ph/9903408. Bibcode:1999PhLB..460..431S. doi:10.1016/S0370-2693(99)00811-4. S2CID 14787873.
  6. ^ Zhang, Jue; Zhou, Shun (July 25, 2016). "Viability of exact tri-bimaximal, golden-ratio and bimaximal mixing patterns and renormalization-group running effects". Journal of High Energy Physics. 2016 (167): 167. arXiv:1606.09591. Bibcode:2016JHEP...09..167Z. doi:10.1007/JHEP09(2016)167. S2CID 119208235.
  7. ^ Abe, Y.; et al. (Double Chooz Collaboration) (2014). "Improved measurements of the neutrino mixing angle θ13 with the Double Chooz detector". Journal of High Energy Physics. 2014 (10): 86. arXiv:1406.7763. Bibcode:2014JHEP...10..086A. doi:10.1007/JHEP10(2014)086. S2CID 53849018.