Radiative Improvement of the Lattice Nonrelativistic QCD Action Using the Background Field Method and Application to the Hyperfine Splitting of Quarkonium States

Journal Article · Fri Sep 09 00:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.107.112002· OSTI ID:21611761

Hammant, T C; Horgan, R R; Monahan, C J ^[1]; Hart, A G ^[2]; Hippel, G M. von ^[3]

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1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Cambridge CB3 0WA (United Kingdom)
2. Cray Exascale Research Initiative Europe, JCMB, King's Buildings, Edinburgh EH9 3JZ (United Kingdom)
3. Institut fuer Kernphysik, University of Mainz, Becher-Weg 45, 55099 Mainz (Germany)

We present the first application of the background field method to nonrelativistic QCD (NRQCD) on the lattice in order to determine the one-loop radiative corrections to the coefficients of the NRQCD action in a manifestly gauge-covariant manner. The coefficients of the {sigma}{center_dot}B term in the NRQCD action and the four-fermion spin-spin interaction are computed at the one-loop level; the resulting shift of the hyperfine splitting of bottomonium is found to bring the lattice predictions in line with experiment.

• OSTI ID: 21611761
• Journal Information: Physical Review Letters, Vol. 107, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.107.112002; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOTTOMONIUM
FERMIONS
J-J COUPLING
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
BOSONS
CORRECTIONS
COUPLING
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
INTERMEDIATE COUPLING
MESONS
QUANTUM FIELD THEORY
QUARKONIUM