Genjituteki na SO(10) GUT no kousei to soreniyoru quak-lepton no gensyouron no kaiseki (The Construction of realistic SO(10) GUT and its application to quark-lepton phenomenology)

Genjituteki na SO(10) GUT no kousei to soreniyoru quak-lepton no gensyouron no kaiseki（现实 SO(10) GUT 的构建及其在夸克轻子现象学中的应用）

基本信息

批准号：
16540269
负责人：
FUKUYAMA Takeshi
金额：
$ 1.6万
依托单位：
Ritsumeikan University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2006
项目状态：
已结题

项目摘要

The renormalizable minimal SO(10) model has been paid a particular attention, where two Higgs multiplets ${{bf 10} oplus {bf overline{126}}}$ are utilized for the Yukawa couplings with matters ${bf16}_i〜(i=mbox{generation})$. A remarkable feature of the model is its high predictive power of the neutrino oscillation parameters as well as reproducing charged fermion masses and mixing angles. We pointed out that CP-phases in the Yukawa sector play an important role to reproduce the neutrino oscillation data. The detailed analysis incorporating the renormalization group (RG) effects in the context of MSSM has explicitly shown by Fukuyama-Okada that the model is consistent with the neutrino oscillation data at that time. Afterward this minimal SO(10) was modified by many authors corresponding the precision measurements, using the type-II see-saw mechanism and/or considering a ${bf 120}$ Higgs coupling to the matter in addition to the ${bf overline{126}}$ Higgs. It has been long expected to construct a concrete Higgs sector of the minimal SO(10) model. A simplest and renormalizable Higgs superpolential was constructed explicitly and the patterns of the SO(10) gauge symmetry breaking to the standard model one was shown by us. This construction gives the detail of the intermediate energy scale. Thus our theory goes to the precision calculation phase, which also give rise to a trouble in the gauge coupling unification. In order to solve the problem, we proposed the scenario to provide the GUT scale as the cutoff scale of effective filed theory in a natural way. For our purpose, we embed the minimal SO(10) model into a warped extra dimension). We can propose a simple setup that naturally generates right-handed neutrino masses at intermediate scale even with Higgs field VEVs at the GUT scale. Thus, the gauge coupling unification remains in the MSSM. Thus SO(10) GUT enters into new phase and is expected to grow further.

可重算法的最小值（10）模型已引起了特别的关注，其中两个希格斯倍数$ {{bf 10} oplus {bf Oplline {126}}} $用于Yukawa耦合，与问题$ {bf16}} _i〜（bf16} _i〜（i = mbox}）$。该模型的一个显着特征是其神经元振荡参数的高预测能力以及重现带电的费米昂质量和混合角度。我们指出，Yukawa部门中的CP强调在重现神经元振荡数据方面起着重要作用。在MSSM背景下，融合了重新归一化组（RG）效应的详细分析已由福山 - 卡达（Fukuyama-Okada）明确表明，该模型与当时的神经元振荡数据一致。之后，许多作者通过使用类型II远见机制和/或考虑$ {bf 120} $ higgs耦合，除了$ {bf重叠{126}} $ higgs外，还通过了许多作者对精确度量进行了修改。长期以来，人们一直期望构建最小值（10）模型的混凝土希格斯扇区。明确构建了最简单，最可划的Higgs超值，并显示了SO（10）量规对称性的模式，使我们显示了标准模型。该结构提供了中间能量量表的细节。我们的理论进入了精确计算阶段，这也导致量规耦合统一的麻烦。为了解决这个问题，我们提出了该场景，以自然方式作为有效提交理论的截止量表。出于我们的目的，我们将最小的SO（10）模型嵌入了一个扭曲的额外维度中）。我们可以提出一个简单的设置，即使使用Higgs field Vevs在肠道尺度上，也可以自然地在中间尺度上产生右撇子神经元肿块。这，量规耦合统一保留在MSSM中。因此（10）肠道进入了新阶段，预计将进一步增长。