Can the Cabibbo mixing originate from noncommutative extra dimensions?

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 \theta_C, that suggests for \theta_C the exact value {\pi}/{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.

Comments: 12 pages, no figures, talk at the NATO Advanced Research Workshop "Non-Commutative Structures in Mathematics and Physics", 24-27 September, Kiev, Ukraine; v2: minor corrections