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)

可重整化的极小SO(10)模型特别受到关注，其中两个Higgs多重态${{bf10}Oplus{bf overline{126}$用于汤川耦合的物质为${bf16}_i~(i=Mbox{生成})$。该模型的一个显着特点是对中微子振荡参数的高预测能力，以及重现带电费米子质量和混合角。指出汤川区的CP相对中微子振荡数据的重现起着重要的作用。Fukuyama-Okada在MSSM背景下考虑重整化群(RG)效应的详细分析表明，该模型与当时的中微子振荡数据是一致的。之后，许多作者对这个最小的SO(10)进行了相应的精确测量，使用了II型拉锯机制和/或除了${bf overline{126}}$Higgs之外，还考虑了${bf 120}$Higgs耦合到物质。长期以来，人们一直期待着构建一个最小SO(10)模型的具体希格斯扇区。明确地构造了一个最简单可重整化的希格斯超极模型，并给出了SO(10)规范对称性向标准模型对称性破缺的图样。这个结构给出了中间能量尺度的细节。因此，我们的理论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，我们自然地提出了以GUT尺度作为有效场理论的截止尺度的设想。出于我们的目的，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装置，它可以自然地产生中等尺度的右手中微子质量，即使希格斯场VEV在肠道尺度上也是如此。因此，规范耦合的统一性保留在MSSM中。因此，SO(10)Gut进入了新的阶段，并有望进一步增长。

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.