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

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

2009-01-19

arxiv.org/abs/0901.2599v2

Phys.Rev.D80:014501,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 4 figures; final version accepted for publication in the journal

Scientific paper

10.1103/PhysRevD.80.014501

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 MSbar scheme and can be used to convert results obtained in lattice calculations into the MSbar 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.

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