Implications of Dynamical Generation of Standard-Model Fermion Masses

Abstract

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

Comments: 4 pages, latex