Implications of $μ-τ$ Flavored CP Symmetry of Leptons

We discuss gauge models incorporating $μ-τ$ flavored CP symmetry (called CP$^{μτ}$ in the text) in combination with $L_μ-L_τ$ invariance to understand neutrino mixings and discuss their phenomenological implications. We show that viable leptogenesis in this setting requires that the lightest right-handed neutrino mass must be between $10^9-10^{12}$ GeV and for effective two hierarchical right-handed neutrinos, leptogenesis takes place only in a narrower range of $5\times 10^{10}-10^{12}$ GeV. A multi-Higgs realization of this idea implies that there must be a pseudoscalar Higgs boson with mass less than 300 GeV. Generically, the vev alignment problem can be naturally avoided in our setting.

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