Differential Renormalization of a Yukawa Model with $\gamma_5$
  We present a two-loop computation of the beta functions and the anomalous dimensions of a $\gamma_5$-Yukawa model using differential renormalization. The calculation is carried out in coordinate space without modifying the space-time dimension and no ad-hoc prescription for $\gamma_5$ is needed.   It is shown that this procedure is specially suited for theories involving $\gamma_5$, and it should be considered in analyzing chiral gauge theories. 
Cristina Manuel