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arxiv: 1105.1770 · v2 · pith:P5PDRXWMnew · submitted 2011-05-09 · ✦ hep-ph

Naturally large Yukawa hierarchies

classification ✦ hep-ph
keywords yukawaflavorquarksymmetrythreevanishingvevsadmits
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The spontaneous breaking of the $SU(3)^5$ quark/lepton flavor symmetry by means of three multiplets of scalar `Yukawa fields' admits vacua with one O(1) and two vanishing vacuum expectation values (vevs) for each multiplet. If the number of generations is equal to three, and only in this case, the vanishing vevs are lifted to exponentially suppressed entries by the inclusion of symmetry invariant logarithmic terms. A strong hierarchy for the Yukawa couplings and a quark mixing matrix that approaches a diagonal form are obtained in a natural way from O(1) parameters. This scenario provides a concrete realization of the minimal flavor violation hypothesis.

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    Introduces a new class of flavor models using non-minimal irreducible representations for the flavor-breaking spurion to generate fermion mass hierarchies accidentally from O(1) UV parameters via multiple insertions, ...