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arXiv 0909.4701hep-thhep-phmath-phmath.MP
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D膜激发的费米子质量织构

D-brane Inspired Fermion Mass Textures

G. K. Leontaris, N. D. Vlachos

摘要:

本文研究了一类具有标准模型规范对称性的相交D膜组态中的夸克质量等级和Cabbibo Kobayashi Maskawa混合问题。考虑到额外的阿贝尔对称性和异常取消条件所施加的约束,构建相关的质量矩阵。可能的质量生成机制,包括微扰以及非微扰的影响进行了讨论,并发现其特征在于由层次结构的规模的各种来源作出贡献的质量纹理的具体模式。有人认为,Cholesky分解的质量矩阵是最合适的方式来确定这些费米子质量模式的属性,而相关的三角形质量矩阵的形式提供了一个统一的描述所有唯象等价的对称和非对称的质量矩阵。一个优雅的分析公式推导出的Cholesky三角形形式的质量矩阵的元素作为简单的函数的质量本征态和对角化变换元素。最后,由于内部空间的几何形状,在几个D-膜和F-理论结构中可能会出现零汤川质量条目,我们详细分析了所有可能的纹理零质量矩阵在所提出的新背景下。这些新的纹理零相比,现有的文献中,而D-膜启发的情况下,详细制定。

英文摘要:

In this paper, the issues of the quark mass hierarchies and the Cabbibo Kobayashi Maskawa mixing are analyzed in a class of intersecting D-brane configurations with Standard Model gauge symmetry. The relevant mass matrices are constructed taking into account the constraints imposed by extra abelian symmetries and anomaly cancelation conditions. Possible mass generating mechanisms including perturbative as well as non-perturbative effects are discussed and specific patterns of mass textures are found characterized by the hierarchies of the scales where the various sources contribute. It is argued that the Cholesky decomposition of the mass matrices is the most appropriate way to determine the properties of these fermion mass patterns, while the associated triangular mass matrix form provides a unified description of all phenomenologically equivalent symmetric and non-symmetric mass matrices. An elegant analytic formula is derived for the Cholesky triangular form of the mass matrices where the entries are given as simple functions of the mass eigenstates and the diagonalizing transformation entries. Finally, motivated by the possibility of vanishing zero Yukawa mass entries in several D-brane and F-theory constructions due to the geometry of the internal space, we analyse in detail all possible texture-zeroes mass matrices within the proposed new context. These new texture-zeroes are compared to those existing in the literature while D-brane inspired cases are worked out in detail.

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