Implications of Dynamical Generation of Standard-Model Fermion Masses

We point out that if quark and lepton masses arise dynamically, then in a wide class of theories the corresponding running masses m₅₉ (p) exhibit the power-law decay m₅₉ (p) ₉^2/p^2 for Euclidean momenta p₉, where f₉ is a fermion of generation j, and ₉ is the maximal scale relevant for the origin of m₅₉. We estimate resultant changes in precision electroweak quantities and compare with current data. It is found that these data allow the presence of such corrections. We also note that this power-law decay renders primitively divergent fermion mass corrections finite.