Froggatt-Nielsen meets Mordell-Weil: a phenomenological survey of global F-theory GUTs with U(1)s
Froggatt-Nielsen meets Mordell-Weil: a phenomenological survey of global F-theory GUTs with U(1)s
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Froggatt-Nielsen 与 Mordell-Weil 的结合：对 U(1) 的全局 F 理论 GUT 的现象学调查
DOI：
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Jin‐Mann Wong
中科院分区：
文献类型：
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作者：
S. Krippendorf;S. Schäfer;Jin‐Mann Wong
摘要在f -理论中，将U(1)规范对称编码在有理截面上，生成紧化空间椭圆振动的modell - weil群。最近，对具有光滑有理截面的全局SU(5) f -理论GUTs的可能U(1)电荷进行了分类[1]。在本文中，我们利用这种分类来探讨全局f理论模型的现象学可行性。在施加了一个无外来的MSSM谱、异常抵消（与U(1)规范对称性下的超电荷通量GUT断裂有关）、缺乏四维和五维质子衰变算子和其他违反r宇称的耦合、以及至少存在第三代顶汤川耦合之后，我们通过froggat - nielsen机制生成了剩余的夸克和轻子汤川织构。在这个过程中，我们要求危险的耦合在先导阶被禁止，并且当由单重态粒子重新生成时，在实验范围内。我们扫描了所有可能的配置，并表明只有一小类U(1)电荷分配和物质分布满足所有要求。这些解产生了具有真实夸克和轻子汤川织构的精确的MSSM谱，这与CKM和PMNS混合矩阵一致。我们还讨论了这些模型的几何实现，并提供了具有良好现象学性质的椭圆型纤振类的指针。
A bstractIn F-theory, U(1) gauge symmetries are encoded in rational sections, which generate the Mordell-Weil group of the elliptic fibration of the compactification space. Recently the possible U(1) charges for global SU(5) F-theory GUTs with smooth rational sections were classified [1]. In this paper we utilize this classification to probe global F-theory models for their phenomenological viability. After imposing an exotic-free MSSM spectrum, anomaly cancellation (related to hypercharge flux GUT breaking in the presence of U(1) gauge symmetries), absence of dimension four and five proton decay operators and other R-parity violating couplings, and the presence of at least the third generation top Yukawa coupling, we generate the remaining quark and lepton Yukawa textures by a Froggatt-Nielsen mechanism. In this process we require that the dangerous couplings are forbidden at leading order, and when re-generated by singlet vevs, lie within the experimental bounds. We scan over all possible configurations, and show that only a small class of U(1) charge assignments and matter distributions satisfy all the requirements. The solutions give rise to the exact MSSM spectrum with realistic quark and lepton Yukawa textures, which are consistent with the CKM and PMNS mixing matrices. We also discuss the geometric realization of these models, and provide pointers to the class of elliptic fibrations with good phenomenological properties.
F 理论中的完全交叉纤维
影响因子：
5.4
作者：
Braun V
通讯作者：
Braun V
全局 F 理论 GUT 中的阿贝尔规范对称性和质子衰变
影响因子：
5
作者：
T. W. Grimm;T. Weigand
通讯作者：
T. Weigand
箱线图和奇异纤维
影响因子：
5.4
作者：
Hayashi H
通讯作者：
Hayashi H