Fermion masses and neutrino oscillations in SO(10) SUSY GUT with D(3) x U(1) family symmetry
Fermion masses and neutrino oscillations in SO(10) SUSY GUT with D(3) x U(1) family symmetry
复制标题
具有 D(3) x U(1) 族对称性的 SO(10) SUSY GUT 中的费米子质量和中微子振荡
DOI：
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发表时间：
1999
期刊：
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通讯作者：
S. Raby
中科院分区：
文献类型：
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作者：
R. Dermisek;S. Raby
离散非阿贝尔规范对称性似乎是族对称性最有利的候选者。我们提出了一个预测 $mathrm{SO}(10)$ SUSY GUT 模型，其中 ${D}_{3}ifmmode imeselse exttimesfi{}U(1)$ 族对称性 ${(D}_{3}$ 是 6 阶二面体群)。费米子质量的层次结构是由族对称性破坏 ${D}_{3}ifmmode imeselse exttimesfi{}U(1)ensuremath{ 生成的
ightarrow}{Z}_{N}确保数学{
ightarrow}mathrm{nothing}.$ 该模型非常适合带电费米子扇区中的低能数据，并且自然提供大角度 ${ensuremath{
u}}_{ensuremath{mu}}ensuremath{-}{ensuremath{
u}}_{ensuremath{ au}}$混合描述大气中微子振荡数据和小角度${ensuremath{
u}}_{e}确保数学{-}{确保数学{
u}}_{s}$混合与太阳中微子数据的小混合角MSW解一致。此外，非阿贝尔族对称性 ${D}_{3}$ 足以抑制较大的风味违规。
Discrete non-Abelian gauge symmetries appear to be the most advantageous candidates for a family symmetry. We present a predictive $mathrm{SO}(10)$ SUSY GUT model with ${D}_{3}ifmmode imeselse exttimesfi{}U(1)$ family symmetry ${(D}_{3}$ is the dihedral group of order 6). The hierarchy in fermion masses is generated by the family symmetry breaking ${D}_{3}ifmmode imeselse exttimesfi{}U(1)ensuremath{
ightarrow}{Z}_{N}ensuremath{
ightarrow}mathrm{nothing}.$ This model fits the low energy data in the charged fermion sector quite well and naturally provides large angle ${ensuremath{
u}}_{ensuremath{mu}}ensuremath{-}{ensuremath{
u}}_{ensuremath{ au}}$ mixing describing atmospheric neutrino oscillation data and small angle ${ensuremath{
u}}_{e}ensuremath{-}{ensuremath{
u}}_{s}$ mixing consistent with the small mixing angle MSW solution to the solar neutrino data. In addition, the non-Abelian family symmetry ${D}_{3}$ is sufficient to suppress large flavor violations.