4.7 Article

Asymmetric tribimaximal texture

Journal

PHYSICAL REVIEW D
Volume 98, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.98.055030

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Funding

  1. Department of Energy [DE-SC0010296]

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We construct a texture where the seesaw matrix is diagonalized by the tribimaximal (TBM) matrix with a phase. All angles of the Cabibbo-Kobayashi-Maskawa matrix and Pontecorvo-Maki-Nakagawa-Sakata matrix are consistent with particle data group values, and the mass relations of quarks and charged leptons extrapolated to the grand unified theory scale are satisfied, including the Gatto relation. The novel ingredient is the asymmetry of the down-quark and charged lepton Yukawa matrices. Explaining the reactor angle requires a CP phase in the TBM matrix, resulting in the Jarlskog-Greenberg invariant at vertical bar J vertical bar = 0.028, albeit with an undetermined sign. While SO(10) restrains the right-handed neutrino Majorana matrix, the neutrino masses are left undetermined.

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