Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
| Autor: | Sturm, C., Aoki, Y., Christ, N. H., Izubuchi, T., Sachrajda, C. T. C., Soni, A. |
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| Rok vydání: | 2009 |
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| Zdroj: | Phys.Rev.D80:014501,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.80.014501 |
| Popis: | 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. Comment: 15 pages, 4 figures; final version accepted for publication in the journal |
| Databáze: | arXiv |
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