Abstract
We propose a new model which can naturally explain origins of fermion generations, quark mass hierarchy, and Cabibbo-Kobayashi-Maskawa matrix simultaneously from 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 fermion 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 non-diagonal elements of fermion mass matrices is found to be severely restricted due to 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.
Highlights
The ATLAS and CMS experimental groups of the CERN Large Hadron Collider (LHC)have announced the excess at 125 GeV, which is consistent with the Standard Model (SM) Higgs boson, with a local significance of 5σ after combining 7 TeV and 8 TeV data [1,2]
Before proceeding to numerical calculations, we summarize some important issues:
◦ The relation between unperturbed and perturbed physical masses in Eq (B14) indicates that when we take the value of MKK μ Z (0) ( 90 GeV), (m Z (0) ) is expressed with good precision as (m Z (0) )2 ∼ MKK ffR
Summary
The ATLAS and CMS experimental groups of the CERN Large Hadron Collider (LHC). We can generate the hierarchy in the Yukawa coupling naturally when the SM fermions are localized at different points in one (more) extra dimension(s) [25], whose situation is realized by a 5D scalar field coupling to 5D fermions with a kink background [26,27]. When we construct a model with the above mechanism, it is reasonable to assume that all the 5D fields live in the bulk with no tree-level localized term at the positions of point interactions This setup is very similar to the minimal Universal Extra Dimension (mUED) model on S 1 /Z 2 [34]. Ref. [36], and the collider physical studies on the model have been done in Refs. [36,37,38,39]
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