Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
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DOI：
10.1093/ptep/pts097
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发表时间：
2012-09
影响因子：
3.5
通讯作者：
Y. Fujimoto;Tomoaki Nagasawa;Kenji Nishiwaki;M. Sakamoto
中科院分区：
文献类型：
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作者：
Y. Fujimoto;Tomoaki Nagasawa;Kenji Nishiwaki;M. Sakamoto
我们提出了一个新的模型，它可以同时和自然地解释费米子产生的起源，夸克质量等级，和Cabibbo-Kobayashi-Maskawa矩阵从额外的维度的几何。我们把额外维看作是一个具有点相互作用的区间，这些点是区间的体空间中的额外边界点。由于在点相互作用位置上的Dirichlet边界条件，手征费米子零模的轮廓被分裂和局域化，从而实现了每个五维Dirac费米子的三代。我们的模型允许费米子味混合，但费米子质量矩阵的非对角元素的形式被发现是严重限制，由于额外的维度的几何形状。标量的罗宾边界条件导致了一个额外的依赖于坐标的真空期望值，它可以自然地解释费米子质量等级。
We propose a new model which can simultaneously and naturally explain the origins of fermion generation, quark mass hierarchy, and the Cabibbo–Kobayashi–Maskawa matrix from the geometry of an extra dimension. We take the extra dimension to be an interval with point interactions, which are additional boundary points in the bulk space of the interval. Because of the Dirichlet boundary condition for fermions at the positions of point interactions, profiles of chiral fermion zero modes are split and localized, and then we can realize three generations from each five-dimensional Dirac fermion. Our model allows fermion flavor mixing but the form of the nondiagonal elements of fermion mass matrices is found to be severely restricted due to the geometry of the extra dimension. The Robin boundary condition for a scalar leads to an extra coordinate-dependent vacuum expectation value, which can naturally explain the fermion mass hierarchy.