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Non-perturbative renormalization constants and light quark masses

D. Becirevic·V. Gimenez·V. Lubicz·G. Martinelli·M. Papinutto·J. Reyes·C. Tarantino [SPQcdR Collaboration]
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Abstract

We present the results of an extensive non-perturbative calculation of the renormalization constants of bilinear quark operators for the non-perturbatively O(a)-improved Wilson action. The results are obtained at four values of the lattice coupling, by using the RI/MOM and the Ward identities methods. A new non-perturbative renormalization technique, which is based on the study of the lattice correlation functions at short distance in x-space, is also numerically investigated. We then use our non-perturbative determination of the quark mass renormalization constants to compute the values of the strange and the average up/down quark masses. After performing an extrapolation to the continuum limit, we obtain ms^msbar(2 GeV) = (106 +- 2 +- 8) MeV and ml^msbar(2 GeV)=(4.4 +- 0.1 +- 0.4) MeV.

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D. Becirevic, V. Gimenez, V. Lubicz, G. Martinelli, M. Papinutto, J. Reyes, C. Tarantino [SPQcdR Collaboration]. 2002-09-30. Non-perturbative renormalization constants and light quark masses. https://doi.org/10.1016/s0920-5632(03)01580-9

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