Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point

By C. Sturm, Y. Aoki, N. Christ, T. Izubuchi, C. Sachrajda, A. Soni. 2009

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We extend the Rome-Southampton regularization independent momentum-subtraction renormalization scheme (RI/MOM) for bilinear operators to one with a nonexceptional, symmetric subtraction point. Two-point Green’s functions with the insertion of quark bilinear operators are computed with scalar, pseudoscalar, vector, axial-vector and tensor operators at one-loop order in perturbative QCD. We call this new scheme RI/SMOM, where the S stands for “symmetric.” Conversion factors are derived, which connect the RI/SMOM scheme and the MS? scheme and can be used to convert results obtained in lattice calculations into the MS? scheme. Such a symmetric subtraction point involves nonexceptional momenta implying a lattice calculation with substantially suppressed contamination from infrared effects. Further, we find that the size of the one-loop corrections for these infrared improved kinematics is substantially decreased in the case of the pseudoscalar and scalar operator, suggesting a much better behaved perturbative series. Therefore it should allow us to reduce the error in the determination of the quark mass appreciably.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f76ce230a56863c1c46a772ebf1f7572a7cac154

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In Nuclear and High Energy Physics

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