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Mu-tau reflection symmetry with a texture-zero
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abstract
The $\mu\tau$-reflection symmetry is a simple symmetry capable of predicting all the unknown CP phases of the lepton sector and the atmospheric angle but too simple to predict the absolute neutrino mass scale or the mass ordering. We show that by combining it with a discrete abelian symmetry in a nontrivial way we can additionally enforce a texture-zero and obtain a highly predictive scenario where the lightest neutrino mass is fixed to be in the few meV range for two normal ordering (NO) solutions or in the tens of meV in one inverted ordering (IO) solution. The rate for neutrinoless double beta decay is predicted to be negligible for NO or have effective mass $m_{\beta\beta}\approx 14\text{ -- }29\,{\rm meV}$ for IO, right in the region to be probed in future experiments.
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Flavoured leptogenesis and ${\rm CP}^{\mu\tau}$ symmetry
In CPmu-tau symmetric seesaw models, flavoured leptogenesis works with M2/M1 as low as 4.7, lowering the old lower bound on M1 to about 7.5e9 GeV and allowing N2-dominated scenarios in roughly a quarter of the paramet...
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