EN
Without Higgs field interaction, accurate pole mass values are obtained for the charged leptons and quarks from a Z3-symmetric linear superposition self-interference of the Dirac fields in the effective free-field Lagrangian. The charged lepton and quark pole masses evidence the discrete Z3 symmetry, the theoretical-experimental deviations δm/m are $$
\mathcal{O}
$$(10−5) for all three charged leptons, and the quark pole masses are in very satisfactory overall agreement with the experimental data.