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We propose a novel renormalization scheme for the hadronic operators. As anexample, we show the numerical simulation result for the anomalous dimension ofthe pseudo scalar operator of the SU(3) gauge theory coupled to Nf = 12fundamental fermions. The anomalous dimension of the pseudo scalar operator isrelated with the mass renormalization factor of the fermion thought thepartially conserved axial-vector current (PCAC) relation. We derive the massanomalous dimension at the infrared fixed point (IRFP) of the theory, and findthat it is given by gamma_m^*= 0.044_{-0.024}^{+0.025} (stat.)_{-0}^{+0.057}(syst.)_{-0.032}^{+0} (syst.), where the first systematic error comes from theuncertainty of the continuum extrapolation while the second one comes from theuncertainty of the value of the coupling constant at the IRFP.

The anomalous dimension at the infrared fixed point of Nf = 12 SU(3) theory