The University of Southampton
University of Southampton Institutional Repository

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.

This record has no associated files available for download.

More information

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

Catalogue record

Date deposited: 26 May 2010 08:36
Last modified: 14 Mar 2024 00:42

Export record

Altmetrics

Contributors

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

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×