Maximal CP Violation in Flavor Neutrino Masses

Abstract

Since flavor neutrino masses $M_{\mu \mu ,\tau \tau ,\mu \tau }$ can be expressed in terms of $M_{ee,e\mu ,e\tau }$, mutual dependence among $M_{\mu \mu ,\tau \tau ,\mu \tau }$ is derived by imposing some constraints on $M_{ee,e\mu ,e\tau }$. For appropriately imposed constraints on $M_{ee,e\mu ,e\tau }$, we show a texture of neutrino mass matrix giving rise to maximal CP violation. When the atmospheric neutrino mixing is also maximal, we discuss various specific textures of neutrino mass matrices including the texture with $M_{\tau \tau }=M_{\mu \mu }^{\ast }$ derived as the simplest solution to the constraint of $M_{\tau \tau }-M_{\mu \mu }$=imaginary, which is required by the constraint of $M_{e\mu }\cos {\theta }_{23}-M_{e\tau }\sin {\theta }_{23}$=real for $\cos 2{\theta }_{23}=0$. It is found that Majorana CP violation depends on the phase of $M_{ee}$.

12 pages, no figure. version accepted for publication in International Journal of Modern Physics A

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Cited by in corpus (12)

• A review of mu-tau flavor symmetry in neutrino physics
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• One-loop radiative seesaw dark matter and neutrinoless double beta decay with two zero flavor neutrino mass texture
• Maximal CP Violation in Minimal Seesaw Model
• A modified Friedberg-Lee symmetry for the TM1 neutrino mixing
• Scotogenesis in Hybrid Textures of Neutrino Mass Matrix and Neutrinoless Double Beta Decay
• Seesaw model and two zero flavor neutrino texture
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• On the textures of neutrino mass matrix for maximal atmospheric mixing angle and Dirac CP phase
• ${\theta }_{23}=\pi /4$ and $\delta =-\pi /2$ In Neutrino Mixing, Which Convention?
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles