Charged lepton mass relations in a supersymmetric Yukawaon model

According to an idea that effective Yukawa coupling constants Y-f(eff) are given vacuum expectation values < Y-f > of fields (Yukawaons) Y-f as Y-f(eff)=y(f)< Y-f >/Lambda, a possible superpotential form in the charged lepton sector under a U(3) [or O(3)] flavor symmetry is investigated. It is found that a specific form of the superpotential can lead to an empirical charged lepton mass relation without any adjustable parameters.