Building Natural Grand Unified Model, the Predictions, and Derivation from Superstring Theory

自从我在2001年发现超对称大统一理论（SUSY GUT）中最严重的问题——双三重态分裂问题，可以在一个自然假设下解决，即对称性允许的所有项都引入0(1)个系数，我们重新考虑了标准模型或SUSY GUT中的各种问题，我们发现各种问题可以在相同的自然假设下以非平凡的方式解决。这样我们就得到了一个自然的、简单的、有希望的超出标准模型的场景。这个场景由3个独立的想法组成。“异常U(1) GUT”，“E6统一群与水平对称”，“轻希格斯扇区”。该基金支持的结果是上述3个想法的后半部分。其中之一是我们从E6统一群和水平对称得到的特殊色子质谱给出了一些预测。我们证明了在合理的假设下，轻子风味破坏实验在不久的将来可以发现与标准模型预测的差异，并计算了定量预测。我们现在正在研究这种情况下B衰变中CP破坏的预测。其中一个有趣的结果是，我们发现了上述第三个想法，通过详细的计算，我们证实了这种可能性是现实的。在超对称性理论中，已知的小层次问题是，为了获得比LEP实验获得的下界更大的希格斯质量，需要进行微调。我们为这个问题提出了一个有趣的解决方案，并讨论了预测结果。我们只在下面列出已发表的论文。我们得到了各种尚未发表的结果。我们计划在不久的将来出版这些有趣的作品。

Since I found in 2001 that the doublet-triplet splitting problem, the most serious problem in the supersymmetric grand unified theory (SUSY GUT), can be solved under a natural assumption that all the terms allowed by the symmetry are introduced with O(1) coefficients, we have reconsidered the various problems in the standard model or in SUSY GUT We have found that various problems can be solved in the same natural assumptions in non-trivial way. Then we have obtained a natural, simple and promising scenario as beyond the standard model. This scenario consists of 3 independent ideas. "Anomalous U(1) GUT", "E6 unified group and horizontal symmetry", and "Light Higgs sector".The results supported by this fund are on the second half of the 3 ideas above. One of them is that we give some predictions from the peculiar sfermion mass spectrum obtained from E6 unified group and horizontal symmetry. We showed that under some reasonable assumptions, the discrepancy from the standard model predictions can be found in near future in lepton flavor violation experiments and we calculated the quantitative predictions. We are now studying the predictions for CP violation in B decay in this scenario. One of the interesting results is that we found the third idea in the above and by detailed calculations we confirmed the possibility can be realistic. In SUSY theories, the little hierarchy problem is known that a finetuning is required to obtain the larger Higgs mass than the lower bound obtained by LEP experiments. We proposed an interesting solution for the problem and discussed the predictions.We only list the published papers below. We obtained various results which have not been published yet. We have plans to publish these interesting works in near future.