Naturally large Yukawa hierarchies
Author
Nardi, EnricoEntity
UAM. Departamento de Física TeóricaDate
2011-08-11Citation
10.1103/PhysRevD.84.036008
Physical Review D 84.3 (2011): 036008
ISSN
1550-7998 (print); 1550-2368 (online)DOI
10.1103/PhysRevD.84.036008Editor's Version
http://dx.doi.org/10.1103/PhysRevD.84.036008Subjects
FísicaRights
© 2011 American Physical SocietyAbstract
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 for each multiplet. If the number of generations is equal to three, and only in this case, the vanishing vacuum expectation values 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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