Can the Cabibbo mixing originate from noncommutative extra dimensions?
Abstract
Treating hadronic flavor symmetries with quantum algebras Uq(sun) leads to interesting consequences such as: new mass sum rules for hadrons 1-, (1/2)+, (3/2)+ of improved accuracy; possibility to label different flavors topologically - by torus winding number; properly fixed deformation parameter q in case of baryons is linked in a simplest way to the Cabibbo angle θC, that suggests for θC the exact value π/14. In this connection, we discuss the possibility that this angle and the Cabibbo mixing as a whole take its origin in noncommutativity of some additional, with regard to 3+1, space-time dimensions.
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