Hint of family gauge bosons with an inverted mass hierarchy from the observed tau decays

The present data show a deviation from the e-m universality ε≡ε_μ−ε_e=0.0020±0.0016. If we consider that the deviation originates in a mass difference between family gauge bosons A₃² and A₃¹, the sign of the observed deviation suggests ε_μ>ε_e, i.e. mass relation M(A₃²)3¹). A possibility of a family gauge boson model with an inverted mass hierarchy is discussed. It is concluded that, contrary to a conventional expectation, it is possible to take a considerably lower mass M(A₃³)∼1 TeV, even the constraint from K⁰−K^¯0 mixing is taken into consideration