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

R. R. Horgan, L. Khomskii, S. Meinel, M. Wingate, K. M. Foley, G. P. Lepage, G. M. Von Hippel, A. Hart, E. H. Müller, C. T.H. Davies, A. Dougall, K. Y. Wong

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

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/m2,vrel4), as accurate as the NRQCD action in present use, both in the continuum and on the lattice with O(a4) improvements. We have carried out extensive tests of the formalism through calculations of two-point correlators for both heavy-heavy (bottomonium) and heavy-light (Bs) mesons in 2+1 flavor lattice QCD and obtained nonperturbative determinations of energy shift and external momentum renormalization. Comparison to perturbation theory at O(αs) 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.

Original languageEnglish (US)
Article number074505
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number7
DOIs
StatePublished - Oct 12 2009
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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    Horgan, R. R., Khomskii, L., Meinel, S., Wingate, M., Foley, K. M., Lepage, G. P., Von Hippel, G. M., Hart, A., Müller, E. H., Davies, C. T. H., Dougall, A., & Wong, K. Y. (2009). Moving nonrelativistic QCD for heavy-to-light form factors on the lattice. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(7), [074505]. https://doi.org/10.1103/PhysRevD.80.074505