The calculation of quark masses and Cabibbo angles is one of the most important open pro blems of the physics of quarks and their inter actions. This is a progress report on an at tempt to calculate Cabibbo angles, relating them to ratios of quark masses. A preliminary report will soon appear in Physics Letters 1 and we hope to present a more complete report in the near future.Our starting point is an SU(2) L x 811(2)^ x U(l) gauge theory of weak and electromagnetic interactions. As usual, the left-handed quarks are in the (1/2, 0) representation while the right-handed quarks are in (0, 1/2). The W and Z boson masses are generated by a set of Higgs mesons, which are not necessarily re levant to our discussion of quark masses. The only Higgs particles which interest us are as sociated with the (1/2, 1/2) multiplet of SU(2) L xSU(2) i ,xU(l) and couple directly to the quarks.We first consider a six-quark scheme. The
We consider a scheme in which all quarks and leptons are composites of only two types of fundamental spin l/2 objects with electric charges l/3 and 0. The concepts of color and flavor acquire meaning only at the level of the composite systems. Gauge bosons such as W' or gluons connect only composite states, and are not fundamental. The scheme accounts for several regularities of the observed pattern of quarks and leptons. However, we cannot offer any convincing dynamics, leaving many important questions unanswered.
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