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)

可重正化的极小SO（10）模型得到了特别的关注，其中两个Higgs多重态${{bf 10} oplus {bf overline{126}$被用于与物质${bf 16}_i <$（i=mbox{generation}）$的Yukawa耦合。该模型的一个显着特点是它的高预测能力的中微子振荡参数以及再生带电费米子质量和混合角。我们指出，在汤川部门的CP相位发挥重要作用，以重现中微子振荡数据。福山-冈田在MSSM的背景下结合重整化群（RG）效应的详细分析明确表明，该模型与当时的中微子振荡数据是一致的。之后，许多作者根据精确测量结果修改了这个最小SO（10），使用II型跷跷板机制和/或考虑除了${bf上划线{126}}$Higgs之外还有${bf 120}$ Higgs与物质的耦合。长期以来，人们一直期望构造一个最小SO（10）模型的具体希格斯扇区。明确地构造了一个最简单的可重整化的Higgs超极子，并给出了SO（10）规范对称破缺到标准模型的模式。这个结构给出了中间能量标度的细节。这样，我们的理论就进入了精确计算阶段，这也给规范耦合统一带来了麻烦。为了解决这个问题，我们提出了一种方案，以自然的方式提供GUT尺度作为有效场理论的截止尺度。为了我们的目的，我们将最小SO（10）模型嵌入到扭曲的额外维度中。我们可以提出一个简单的设置，自然地产生右手中微子质量在中等规模，甚至与希格斯场VEV在大统一体规模。因此，规范耦合统一仍然在MSSM。SO（10）大统一理论由此进入了新的发展阶段，并有望得到进一步的发展.

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.