Simiplified textures of the seesaw model for the trimaximal neutrino mixings

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 $\varphi$ 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 $\varphi$ 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.

27 pages, 5 figures, 10 tables, version accepted for publication in PRD

References in corpus (19)

• Leptogenesis
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• The Unique Horizontal Symmetry of Leptons
• Possible Alternatives to Tri-bimaximal Mixing
• The Horizontal Symmetry for Neutrino Mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Minimal Modification To The Tri-bimaximal Neutrino Mixing
• Flavoured leptogenesis: a successful thermal leptogenesis with N_1 mass below 10^8 GeV
• Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis
• The importance of N2 leptogenesis
• On the origin of neutrino flavour symmetry
• Towards the minimal seesaw model via CP violation of neutrinos
• Littlest Seesaw model from S4 x U(1)
• Neutrino CP violation and sign of baryon asymmetry in the minimal seesaw model
• Minimal modifications to the Tri-Bimaximal neutrino mixing
• Littlest mu-tau seesaw
• Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing
• Implications of texture zeros for a variant of tribimaximal Mixing

Cited by in corpus (3)

• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Is magic texture for Majorana neutrino immanent in Dirac nature?