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- W3003483707 abstract "The $mu$-$tau$ exchange symmetry in the neutrino mass matrix and its breaking as a perturbation are discussed. The exact $mu$-$tau$ symmetry restricts the 2-3 and 1-3 neutrino mixing angles as $theta_{23} = pi/4$ and $theta_{13} = 0$ at a zeroth order level. We claim that the $mu$-$tau$ symmetry breaking prefers a large CP violation to realize the observed value of $theta_{13}$ and to keep $theta_{23}$ nearly maximal, though an artificial choice of the $mu$-$tau$ breaking can tune $theta_{23}$, irrespective of the CP phase. We exhibit several relations among the deviation of $theta_{23}$ from $pi/4$, $theta_{13}$ and Dirac CP phase $delta$, which are useful to test the $mu$-$tau$ breaking models in the near future experiments. We also propose a concrete model to break the $mu$-$tau$ exchange symmetry spontaneously and its breaking is mediated by the gauge interactions radiatively in the framework of the extended gauge model with $B-L$ and $L_mu - L_tau$ symmetries. As a result of the gauge mediated $mu$-$tau$ breaking in the neutrino mass matrix, the artificial choice is unlikely, and a large Dirac CP phase is preferable." @default.
- W3003483707 created "2020-02-07" @default.
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- W3003483707 date "2020-07-06" @default.
- W3003483707 modified "2023-10-14" @default.
- W3003483707 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>μ</mml:mi><mml:mtext>−</mml:mtext><mml:mi>τ</mml:mi></mml:mrow></mml:math> symmetry breaking and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math> violation in the neutrino mass matrix" @default.
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- W3003483707 doi "https://doi.org/10.1103/physrevd.102.016002" @default.
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