Naturally large Yukawa hierarchies

Details Naturally large Yukawa hierarchies Naturally large Yukawa hierarchies

2011-05-09

arxiv.org/abs/1105.1770v2

Phys.Rev.D84:036008,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages. Added two references. Section 2a and 3 revised. Results unchanged

Scientific paper

10.1103/PhysRevD.84.036008

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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