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

1550-7998
014501-[11pp]
Sturm, C.
5ccbb81f-c09b-4b32-9871-fc6b13bfacc4
Aoki, Y.
59681162-da15-44bc-9543-5dabe0b3f9bd
Christ, N.
bafeb9b1-3dd1-4027-8690-1d99257b2c8e
Izubuchi, T.
4ee5b26a-e913-4a6b-8a2f-80159b3219b2
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Soni, A.
7a4196ff-0f6b-429e-af54-d1036e9c433b
Sturm, C.
5ccbb81f-c09b-4b32-9871-fc6b13bfacc4
Aoki, Y.
59681162-da15-44bc-9543-5dabe0b3f9bd
Christ, N.
bafeb9b1-3dd1-4027-8690-1d99257b2c8e
Izubuchi, T.
4ee5b26a-e913-4a6b-8a2f-80159b3219b2
Sachrajda, C.T.
0ed6568b-f52f-4314-8677-4aeeb925d6f7
Soni, A.
7a4196ff-0f6b-429e-af54-d1036e9c433b

Sturm, C., Aoki, Y., Christ, N., Izubuchi, T., Sachrajda, C.T. and Soni, A. (2009) Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point. Physical Review D, 80 (1), 014501-[11pp]. (doi:10.1103/PhysRevD.80.014501).

Record type: Article

Abstract

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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Published date: 6 July 2009
Organisations: High Energy Physics

Identifiers

Local EPrints ID: 143305
URI: http://eprints.soton.ac.uk/id/eprint/143305
ISSN: 1550-7998
PURE UUID: b1a4950f-fd24-4538-acdc-362f2eb561b4

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Date deposited: 26 May 2010 08:36
Last modified: 08 Nov 2021 18:09

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Contributors

Author: C. Sturm
Author: Y. Aoki
Author: N. Christ
Author: T. Izubuchi
Author: C.T. Sachrajda
Author: A. Soni

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