Abstract
In the seesaw framework, in the basis of ${M}_{\mathrm{R}}$ being diagonal, we explore the simplified textures of ${M}_{\mathrm{D}}$ that can naturally yield the trimaximal neutrino mixings and their consequences for the neutrino parameters and leptogenesis. We first formulate the generic textures of ${M}_{\mathrm{D}}$ that can naturally yield the trimaximal mixings and then examine if their parameters can be further reduced. Our analysis is restricted to the simple but instructive scenario that there is only one phase parameter $\ensuremath{\phi}$ responsible for both the $CP$ violating effects at low energies and leptogenesis. Our attention is paid to the textures of ${M}_{\mathrm{D}}$ that possess some vanishing or equal elements. On the basis of these results, we further examine if $\ensuremath{\phi}$ can also take a particular value. The consequences of the phenomenologically-viable simplified textures for the neutrino parameters and leptogenesis are studied. A concrete flavor-symmetry model that can realize one representation of them is given.
Highlights
The observation of the phenomenon of neutrino oscillations indicates that neutrinos are massive and the lepton flavors are mixed [1]
At the 3σ level, s212 and jδj are respectively constrained into the ranges 0.317–0.319 (0.340–0.342) and 0.33π–0.59π (0.31π–1.00π) for the TM1 (TM2) mixing, which are in good agreement with the experimental results. Due to their simple structures and phenomenologicallyappealing consequences, the trimaximal mixings have attracted a lot of attention after the observation of a relatively large θ13 [10,11,12,13,14,15]
In the so-called indirect models [18], the successful realization of the TBM mixing is crucially dependent on the following two practices; three flavon fields are respectively associated with three right-handed neutrinos, which can be fulfilled by invoking an auxiliary flavor symmetry; they acquire some particular vacuum expectation values (VEVs) alignments as
Summary
The observation of the phenomenon of neutrino oscillations indicates that neutrinos are massive and the lepton flavors are mixed [1]. At the 3σ level, s212 and jδj are respectively constrained into the ranges 0.317–0.319 (0.340–0.342) and 0.33π–0.59π (0.31π–1.00π) for the TM1 (TM2) mixing, which are in good agreement with the experimental results Due to their simple structures and phenomenologicallyappealing consequences, the trimaximal mixings have attracted a lot of attention after the observation of a relatively large θ13 [10,11,12,13,14,15]. In the general seesaw framework, we will explore the simplified textures of MD that can naturally yield the trimaximal (including both the TM1 and TM2) mixings and study their consequences for the neutrino parameters and leptogenesis. Our main results will be summarized in the last section
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