scheme[@BW]. It is meaningless to give results without mentioning the definition of evanescent operators, because the constant terms at the one-loop level depend on the definition of the evanescent operators. Our choice is as follows: $$\begin{aligned}
E^{\rm DRED}_{\pm}=&
{\bar \delta}_{\mu\nu}\gamma_\mu(1-\gamma_5)
\otimes\gamma_\nu(1-\gamma_5)
-\frac{D}{4}\gamma_\mu(1-\gamma_5)\otimes\gamma_\mu(1-\gamma_5), \\
E^{\rm DRED}_{1,2}=&
{\bar \delta}_{\mu\nu}\gamma_\mu(1-\gamma_5)
\otimes\gamma_\nu(1+\gamma_5)
-\frac{D}{4}\gamma_\mu(1-\gamma_5)\otimes\gamma_\mu(1+\gamma_5),\end{aligned}$$ where ${\bar \delta}_{\mu\nu}$ is the $D$-dimensional metric tensor which emerges inevitably in the evaluation of the Feynman integrals.

Combining these results with the previous lattice ones we obtain $$\begin{aligned}
{\cal O}_\Gamma^{{{\overline {\rm MS}}}}(\mu) & = &\frac{1}{(1-w_0^2)^2 Z_w^2}
Z_\Gamma (\mu a ) {\cal O}_\Gamma^{lat} (1/a),\end{aligned}$$ where $$\begin{aligned}
Z_\Gamma (\mu a) &=& \frac{ (Z_2^{{{\overline {\rm MS}}}})^2 V_\Gamma^{{{\overline {\rm MS}}}}}
{(Z_2)^2 V_\Gamma} \nonumber \\
&=& 1 + \frac{g^2}{16\pi^2}\left[
(\delta_\Gamma - 2 C_F)\log (\mu a)^2 + z_\Gamma \right],
 \label{eq:4fermi}
\\
z_\Gamma &=& v_\Gamma^{{{\overline {\rm MS}}}} - v_\Gamma + 2 C_F\{\Sigma_1^{{{\overline {\rm MS}}}}
-\Sigma_1\} .\end{aligned}$$ Numerical values of $z_\Gamma$ are given in Table \[tab:total\] and the results for the mean-field improved one, $z_\Gamma^{MF}$ , are also given in Table \[tab:totalMF\].

Although the results for the DRED scheme are presented here, it is an easy task to obtain those for the Naive Dimensional Regularization(NDR) scheme. In Appendix B we summarize the finite parts of the wave-function renormalization 