Journal
PHYSICAL REVIEW D
Volume 80, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.80.014501
Keywords
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Funding
- U.S. DOE [DE-AC02-98CH10886, DE-FG02-92ER40699]
- RIKEN BNL Research Center
- Ministry of Education, Culture, Sports, Science and Technology [19740134, 20025010]
- Japan Society for the Promotion of Science (JSPS)
- German Research Foundation (DFG), Japan-German
- STFC [ST/G000557/1]
- EU [MRTN-CT-2006-035482]
- Grants-in-Aid for Scientific Research [19740134, 20025010] Funding Source: KAKEN
- STFC [ST/G000557/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000557/1] Funding Source: researchfish
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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.
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