Minimal modifications to the Tri-Bimaximal neutrino mixing

Abstract

In light of the observation of a relatively large ${\theta }_{13}$, the ever popular Tri-Bimaximal (TBM) neutrino mixing which predicts a vanishing ${\theta }_{13}$ needs modifications. In this paper, we shall discuss the possibility of modifying it in a minimal way to fulfil this task. In the first part, a neutrino mass matrix with three independent parameters, which leads to the TM2 mixing, is obtained by analogy with that for the TBM mixing. In the second part, a model that can realize the TM2 mixing is constructed with flavor symmetries $A_4\times U(1)\times Z_2\times Z_2\times Z_2$. It is the variant of a model that gives the TBM mixing, with only one more flavon field included. Furthermore, the imaginary vacuum expectation value (VEV) of this flavon breaks the imposed CP symmetry and results in ${\theta }_{23}=45^{\circ }$ and the maximal CP violation. This VEV is also helpful for providing a large enough CP asymmetry required by the leptogenesis mechanism. Besides, this model building approach can be generalized to the TM1 mixing in a straightforward way.

21 pages, version accepted for publication in JHEP

References in corpus (6)

• Observation of electron-antineutrino disappearance at Daya Bay
• Possible Alternatives to Tri-bimaximal Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• Lepton Mixing Parameters from $\Delta (48)$ Family Symmetry and Generalised CP
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Cited by in corpus (5)

• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Phenomenology of Trimaximal mixing with one texture equality
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• Tri-bimaximal-Cabibbo Mixing: Flavour violations in the charged lepton sector