Wave-function renormalization ($Z_{\varphi }$)

Wave-function renormalization rescales a field so that its kinetic term or propagator residue has the chosen normalization. Its scale dependence gives the field's anomalous dimension.

Canonical field normalization rescales a field so that its kinetic term has unit coefficient. For a chiral superfield with $K=Z{\Phi }^{†}\Phi$, the change ${\Phi }_c=Z^{1/2}\Phi$ turns holomorphic superpotential parameters into canonical parameters $m_c=m/Z$ and $g_c=g/Z^{3/2}$.