Neutrino Mass Matrix Model with a Bilinear Form

Abstract

A neutrino mass matrix model with a bilinear form $M_{\nu }=k_{\nu }(M_D{M}_R^{-1}{M}_D^T{)}^2$ is proposed within the framework of the so-called yukawaon model, which has been proposed for the purpose of a unified description of the lepton mixing matrix $U_{PMNS}$ and the quark mixing matrix $V_{CKM}$. The model has only two adjustable parameters for the PMNS mixing and neutrino mass atios. (Other parameters are fixed from the observed quark and charged lepton mass ratios and the CKM mixing.) The model gives reasonable values ${\sin }^{2}2{\theta }_{12}\simeq 0.85$ and ${\sin }^{2}2{\theta }_{23}\sim 1$ and ${\sin }^{2}2{\theta }_{13}\sim 0.09$ together with $R_{\nu }\equiv \Delta m_{21}^2/\Delta m_{32}^2\sim 0.03$. Our prediction of the effective neutrino mass $<m>$ in the neutrinoless double beta decay takes a sizable value $<m>\simeq 0.0034$ eV.

13 pages, 2 figures, to appear in JHEP

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Cited by in corpus (7)

• Yukawaon Model with Anomaly Free Set of Quarks and Leptons in a U(3) Family Symmetry
• Universal Bilinear Form of Quark and Lepton Mass Matrices
• Flavon VEV Scales in U(3)$\times$U(3)${}^{\prime }$ Model
• Origin of Hierarchical Structures of Quark and Lepton Mass Matrices
• Quark and Lepton Mass Matrices Described by Charged Lepton Masses
• Leptonic $CP$ violating Phase in the Yukawaon Model
• A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model