Yukawaon model with family symmetries

A new yukawaon model is investigated under a family symmetry U ( 3 ) A S 3 . In this model, all vacuum expectation values (VEVs) of the yukawaons, a Y f a , are described in terms of a fundamental VEV matrix a IBB 0 a as in the previous yukawaon model, but the assignments of quantum number for fields are different from the previous ones: the fundamental yukawaon IBB 0 is assigned to ( 3 , 3 ) of U ( 3 ) A U ( 3 ) , which is broken into ( 3 , 1 + 2 ) of U ( 3 ) A S 3 , although quarks and leptons are still assigned to triplets of U ( 3 ) and yukawaons Y f are assigned to 6 a of U ( 3 ) . Then, VEV relations among yukawaons become more concise considerably than the previous yukawaon models. By adjusting parameters, we can fit not only quark mixing parameters but also lepton mixing parameters together with their mass ratios.