Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism

Abstract

The scaling hypothesis postulates proportionality of two columns of the Majorana neutrino mass matrix in the flavor basis. This Ansatz was shown to lead to an inverted hierarchy and U_{e3} = 0. We discuss theoretical and phenomenological properties of this hypothesis. We show that (i) the neutrino mass matrix with scaling follows as a consequence of a generalized mu-tau symmetry imposed on the type-I see-saw model; (ii) there exists a unique texture for the Dirac mass matrix m_D which leads to scaling for arbitrary Majorana matrix M_R in the context of the type-I see-saw mechanism; (iii) unlike in the mu-tau symmetric case, a simple model with two right-handed neutrinos and scaling can lead to successful leptogenesis both with and without the inclusion of flavor effects.

18 pages, matches published version

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Cited by in corpus (27)

• Phenomenological Consequences of sub-leading Terms in See-Saw Formulas
• Neutrino Mass, Dark Matter and Anomalous Magnetic Moment of Muon in a $U(1{)}_{L_{\mu }-L_{\tau }}$ Model
• Implications of a class of neutrino mass matrices with texture zeros for non-zero ${\theta }_{13}$
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Masses, mixing angles and phases of general Majorana neutrino mass matrix
• Minimal Textures in Seesaw Mass Matrices and their low and high Energy Phenomenology
• Horizontal symmetries of leptons with a massless neutrino
• A complete survey of texture zeros in general and symmetric quark mass matrices
• Scaling ansatz, four zero Yukawa textures and large ${\theta }_{13}$
• Scaling ansatz with texture zeros in linear seesaw
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Extended scaling and residual flavor symmetry in the neutrino Majorana mass matrix
• Probing texture zeros with scaling ansatz in inverse seesaw
• Baryon asymmetry via leptogenesis in a neutrino mass model with complex scaling
• Generalized ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ in Scaling neutrino Majorana mass matrix and baryogenesis via flavored leptogenesis
• Maximal CP-Violation in Neutrino Mass Matrix in light of the latest Daya Bay result on ${\theta }_{13}$
• Highly predictive and testable $A_4$ flavor model within type-I and II seesaw framework and associated phenomenology
• Importance of generalized $\mu \tau$ symmetry and its CP extension on neutrino mixing and leptogenesis
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• Generalized Scaling Ansatz and Minimal Seesaw Mechanism
• Lower Bounds on U_{e3}
• Corrections to Scaling Neutrino Mixing: Non-zero ${\theta }_{13},{\delta }_{CP}$ and Baryon Asymmetry
• Dual models of the neutrino mass spectrum
• A Froggatt-Nielsen flavor model for neutrino physics
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry
• $TeV$-Scale Resonant Leptogenesis $A_4$ with a scaling texture