A classical gauge model based on the Lie group SU(3)L X U(1)N with exotic quarks is reformulated within the formalism of non-associative geometry associated to an L-cycle. The N charges of the fermionic particles and the related parameters constraints are uniquely determinedalgebraic consequences. Moreover, the number of scalar particles are dictated by the non-associativity of the geometry. As a byproduct of this formalism, the scalar, charged and neutral gauge bosons masses as well as the mixing angles are derived. Furthermore, various expressions of the vector and axial couplings of the quarks and leptons with the neutral gauge bosons and lower bounds of the very heavy gauge bosons are also obtained.
Comments: 38 pages
[v1] 18 Mar 2010
Unique-IP document downloads: 125 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.