Hierarchical Fermion Spectra and the KM matrix in Superstring Theories

超弦理论中的分层费米子谱和 KM 矩阵

• 批准号: 08640366
• 负责人: MATSUOKA Takeo
• 金额: $ 0.77万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1997
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640366/
• 关键词: Superstring Theory; Yukawa couplings; Kobayashi-Maskawa matrix; Flavor symmetry; Dynamical SUSY breaking; Soft masses; State-mixing; CP violation; フレーバー対称性; シ-ソ-機構; 一状態混合; 動力学的超対称性の破れ; 離散R対称性; クオーク・レプトン質量; 陽子崩壊; CRの破れ

The characteristic features of many low-energy parameters have long been a challenging problem to explain their origin from the supersymmetric unified theory. Among them supersymmetric parameters have hierarchical structure. From the viewpoint of the superstring theory we found that Yukawa hierarchies are attributable to the flavor symmetry which stems from the symmetric structure of compactified space. As a result of statemixings we obtained hierachical fermion spectra and the KM matrices for quarks and leptons, which are consistent with the observations. In the KM matrix of leptons seesaw machanism and hierarchical Majorana masses play an essential role. SUSY breaking parameters which are expected to be universal, are closely linked to the mediation mechanism of SUSY breaking. A original model of the mediation has contained serious difficulties. We proposed a new type of mediation model in which the low-energy effective theory is properly derived from the underlying theory and difficulties in the original model are solved. Furthermore, we studied the next-to-minimal supersymmetric standard model in which a gauge-singlet is involved and spontaneous CP violation occurs.

许多低能参数的特征长期以来一直是从超对称统一理论解释其起源的一个具有挑战性的问题。其中超对称参数具有层次结构。从超弦理论的角度来看，我们发现汤川层次结构可归因于源自致密空间的对称结构的风味对称性。作为状态混合的结果，我们获得了夸克和轻子的分级费米子谱和 KM 矩阵，这与观测结果一致。在轻子跷跷板机制和分层马约拉纳质量的 KM 矩阵中发挥着至关重要的作用。 SUSY 破坏参数与 SUSY 破坏的中介机制密切相关，有望具有通用性。最初的调解模式存在严重困难。我们提出了一种新型的中介模型，该模型从底层理论中适当导出了低能有效理论，并解决了原始模型中的困难。此外，我们还研究了次小超对称标准模型，其中涉及规范单线态并发生自发的 CP 破坏。

项目成果

M.Matsuda, T.B.Suzuki: "Semileptoric decay of B-meson into D^<**> and the Bjorken sum rule" Physics Letters. B380. 371-375 (1996)

M.Matsuda、T.B.Suzuki：“B 介子的半视衰变为 D^<**> 和 Bjorken 总和规则”《物理快报》。

N.Haba, C.Hattori, M.Matsuda and T.Matsuoka: "Fermion Masses and Mixings in a String Inspired Model" Progress of Theoretical Physics. 96. 1249-1280 (1996)

N.Haba、C.Hattori、M.Matsuda 和 T.Matsuoka：“弦启发模型中的费米子质量和混合”理论物理进展。

Masahisa Matsuda and Tsuyoshi B.Suzuki: "Semileptonic decay of B-meson into D^<****> and the Bjorken sum rule" Phys.Lett.B380. 371-375 (1996)

Masahisa Matsuda 和 Tsuyoshi B.Suzuki：“B 介子的半轻衰变成 D^<****> 和比约肯总和规则”Phys.Lett.B380。

T.Ito, M.Matsuda, Y.Matsui: "New Possibility of Solving the Prollem of the Lifetime Ratio τ(Λb/ν(Bd)" Progress of Theoretical Physics. 99. (1998)

T.Ito、M.Matsuda、Y.Matsui：“解决寿命比 τ(Λb/ν(Bd) 问题的新可能性”理论物理进展。99。(1998)

Naoyuki Haba, Nobuhito Maru and Takeo Matsuoka: "Supersymmetry Breaking Without A Messenger Gauge Group" Phys.Rev.D56 No.7. 4207-4212 (1997)

Naoyuki Haba、Nobuhito Maru 和 Takeo Matsuoka：“没有信使规范群的超对称性破缺”Phys.Rev.D56 No.7。