Mass matrices with sequentially broken chiral symmetries and the Cabibbo angle
Abstract
Following the Fritzsch idea of the fermion mass hierarchy being related to a sequential horizontal chiral symmetry breaking, we point out that this chiral symmetry can be implemented in a ``commutative'' or ``noncommutative'' way with respect to the electroweak group SU(2)_{L}×U(1). In a specific scenario of the latter type one gets a nonzero Cabibbo angle already in the first step of chiral symmetry breaking and the hierarchy of mixing angles can be easily understood. It is shown that the ``noncommutative'' scenario leads to attractive and simple models for the fermion mass generation.
UPR A.0014 du CNRS.
 Publication:

Physics Letters B
 Pub Date:
 February 1991
 DOI:
 10.1016/03702693(91)90246M
 Bibcode:
 1991PhLB..255..265G