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Can the Cabibbo mixing originate from noncommutative extra dimensions?

A. M. Gavrilik
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Abstract

Treating hadronic flavor symmetries with quantum algebras U_q(su_n) 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 θ_C, that suggests for θ_C 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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A. M. Gavrilik. 2000-12-20. Can the Cabibbo mixing originate from noncommutative extra dimensions?. https://arxiv.org/abs/hep-ph/0011057

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