Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-05-26
Nucl.Phys.B484:97-123,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 25 pages - as it will appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(96)00597-4
In an analogy to the case of axion, which converts the $\Theta$-angle into a dynamical degree of freedom, we are trying to imagine a situation where the quark mixing angles turn out to be dynamical degrees of freedom (pseudo-Goldstone bosons), and their vacuum expectation values are obtained from the minimization of the vacuum energy. We present an explicit supersymmetric model with horizontal symmetry, where such a mechanism can be realized. It implies one relation between the quark masses and the CKM mixing angles: $s_{13}s_{23}/s_{12}=(m_s/m_b)^2$, which is fulfilled within present experimental accuracy. We believe, however, that the idea might be more general than this concrete model, and it can be implemented in more profound frameworks.
Anselm Alexei
Berezhiani Zurab
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