Naturally large Yukawa hierarchies
High Energy Physics - Phenomenology
2011-09-08 v2
Abstract
The spontaneous breaking of the 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.
Keywords
Cite
@article{arxiv.1105.1770,
title = {Naturally large Yukawa hierarchies},
author = {Enrico Nardi},
journal= {arXiv preprint arXiv:1105.1770},
year = {2011}
}
Comments
8 pages. Added two references. Section 2a and 3 revised. Results unchanged