Moving nonrelativistic QCD for heavy-to-light form factors on the lattice

Journal Article · Thu Oct 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.074505· OSTI ID:21325257

Horgan, R R; Khomskii, L; Meinel, S; Wingate, M; Foley, K M; Lepage, G P; Hippel, G M. von; Hart, A; Mueller, E H; Davies, C T. H.; Dougall, A; Wong, K Y ^[1]

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1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Centre for Mathematical Sciences, Cambridge CB3 0WA (United Kingdom)

We formulate nonrelativistic quantum chromodynamics (NRQCD) on a lattice which is boosted relative to the usual discretization frame. Moving NRQCD allows us to treat the momentum for the heavy quark arising from the frame choice exactly. We derive moving NRQCD through O(1/m{sup 2},v{sub rel}{sup 4}), as accurate as the NRQCD action in present use, both in the continuum and on the lattice with O(a{sup 4}) improvements. We have carried out extensive tests of the formalism through calculations of two-point correlators for both heavy-heavy (bottomonium) and heavy-light (B{sub s}) mesons in 2+1 flavor lattice QCD and obtained nonperturbative determinations of energy shift and external momentum renormalization. Comparison to perturbation theory at O({alpha}{sub s}) is also made. The results demonstrate the effectiveness of moving NRQCD. In particular we show that the decay constants of heavy-light and heavy-heavy mesons can be calculated with small systematic errors up to much larger momenta than with standard NRQCD.

• OSTI ID: 21325257
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
B QUARKS
B S MESONS
BOTTOMONIUM
C QUARKS
COMPARATIVE EVALUATIONS
FLAVOR MODEL
FORM FACTORS
LATTICE FIELD THEORY
PARTICLE DECAY
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION
T QUARKS