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arXiv 1202.4012hep-ph
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最小SO(10)× S_4味模型中的θ_{13}和质子衰变

θ_{13} and Proton Decay in a Minimal SO(10) x S_4 model of Flavor

P. S. Bhupal Dev, Bhaskar Dutta, R. N. Mohapatra, Matthew Severson

摘要:

最近的一篇论文提出了一个基于SO(10)xS_4的夸克和轻子味统一模型,其中两个10和一个126对费米子质量有贡献。这个模型的一个重要方面是,汤川耦合出现动态的flavon潜在的最小化,从而大大减少了参数的数量。我们做了详细的数值分析,这个模型的费米子混合,包括超对称性阈值效应在TeV尺度和I型修正的II型占主导地位的跷跷板中微子质量。这是一个超对称SO(10)在2 × 10^16 GeV的大统一理论(GUT)尺度下破缺到最小超对称标准模型(MSSM)的单步破缺模型。极小模型只有11个参数,因此,带电费米子拟合预测了中微子扇区的质量(直到整体尺度)和混合。我们提出的中微子混合参数的不同预测的相关性。通过对极小模型的简单推广,可以得到最近实验上的“大”θ_{13}值\sim 9 °。我们还发现,质子衰变模式p -> K^+ \bar ν_μ的部分寿命为\sim 10 ^34年,这在下一轮质子衰变搜索计划的范围内。费米子质量的成功拟合要求希格斯粒子的质量在这个模型中低于129 GeV。如果希格斯粒子的质量在120-128 GeV之间,正如最近的LHC数据所表明的那样,我们发现μ>0(<0)时光阻质量的下限为755(211)GeV。

英文摘要:

In a recent paper, a minimal supersymmetric (SUSY) SO(10)xS_4 based unified model of flavor for quarks and leptons was proposed with two 10 and one 126 contributing to fermion masses. An important aspect of this model is that Yukawa couplings emerge dynamically from minimization of the flavon potential, thereby reducing the number of parameters considerably. We make a detailed numerical analysis of this model for fermion mixings including SUSY threshold effects at the TeV scale and type-I corrections to a type-II dominant seesaw for neutrino masses. This is a single-step breaking model with SUSY SO(10) broken at the Grand Unified Theory (GUT)-scale of 2x10^16 GeV to the Minimal Supersymmetric Standard Model (MSSM). The minimal model has only 11 parameters, and therefore, the charged fermion fits predict the masses (up to an overall scale) and mixings in the neutrino sector. We present correlations for the different predictions in the neutrino mixing parameters. The recent experimental "large" θ_{13} value of \sim 9 degrees can be obtained by a simple extension of the minimal model. We also find that proton decay mode p -> K^+\barν_μhas a partial lifetime of \sim10^34 yrs, which is within reach of the next round of planned proton decay searches. The successful fit for fermion masses requires the Higgs mass to be below 129 GeV in this model. If the Higgs mass lies between 120-128 GeV, as suggested by the recent LHC data, we find a lower limit on the light stop mass of 755 (211) GeV for μ>0 (<0).

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