Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
- Physics Department, Columbia University, New York, New York 10027 (United States)
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.
- OSTI ID:
- 21308532
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 1; Other Information: DOI: 10.1103/PhysRevD.80.014501; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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