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- W2022192533 abstract "The origin of fermion generations is one of the great mysteries in particle physics. We consider here a possible solution within the Standard Model framework based on a nonabelian generalization of electric-magnetic duality. First, nonabelian duality says that dual to the colour (electric) SU(3), there is a ``colour magnetic symmetry'' $widetilde{SU}(3)$, which by a result of 't~Hooft is spontaneously broken and can thus play the role of the horizontal symmetry of generations. Second, nonabelian duality suggests the manner this is broken with frame vectors in internal space acting as Higgs fields. As a result, mass matrices factorize leading to fermion mass hierarchy. A calculation to first order gives mixing (CKM and MNS) matrices in general agreement with experiment. In particular, quark mixing is seen naturally to be weak compared with leptons, while within the lepton sector, $mu-tau$ mixing turns out near maximal but $e-tau$ mixing small, just as seen in recent $nu$ oscillation experiments. In addition, the scheme leads to many testable predictions ranging from rare FCNC meson decays and $mu-e$ conversion in nuclei to cosmic ray air showers above $10^{20}$ eV." @default.
- W2022192533 created "2016-06-24" @default.
- W2022192533 creator A5015305589 @default.
- W2022192533 date "2000-10-27" @default.
- W2022192533 modified "2023-09-23" @default.
- W2022192533 title "Yang--Mills duality as origin of generations, quark mixing and neutrino oscillations" @default.
- W2022192533 hasPublicationYear "2000" @default.
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