"Hidden" O(2) and SO(2) Symmetry in Lepton Mixing

Heeck, Julian; Rodejohann, Werner

doi:10.1007/JHEP02(2012)094

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学術論文

"Hidden" O(2) and SO(2) Symmetry in Lepton Mixing

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Heeck, Julian
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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Rodejohann, Werner
Werner Rodejohann - ERC Starting Grant, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

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http://dx.doi.org/10.1007/JHEP02(2012)094
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1112.3628
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引用

Heeck, J., & Rodejohann, W. (2012). "Hidden" O(2) and SO(2) Symmetry in Lepton Mixing. Journal of High Energy Physics, 1202(2):. doi:10.1007/JHEP02(2012)094.

引用: https://hdl.handle.net/11858/00-001M-0000-000F-4B3E-8

要旨

To generate the minimal neutrino Majorana mass matrix that has a free solar mixing angle and Delta m_sol^2 = 0 it suffices to implement an O(2) symmetry, or one of its subgroups SO(2), Z_N (N>2), or D_N (N>2). This O(2) generalizes the hidden Z_2^s of lepton mixing and leads in addition automatically to mu-tau symmetry. Flavor-democratic perturbations, as expected e.g. from the Planck scale, then result in tri-bimaximal mixing. We present a minimal model with three Higgs doublets implementing a type-I seesaw mechanism with a spontaneous breakdown of the symmetry, leading to large theta_13 and small Delta m_sol^2 = 0 due to the particular decomposition of the perturbations under mu-tau symmetry.