A high statistics lattice calculation of the B-meson binding energy

1996/07/05 by V. Giménez, V. Gimenez, G. Martinelli +2 · 1 citation
Physics and Astronomy · #Binding energy #High-Energy Particle Collisions Research #Lattice (music) #Meson #Operator (biology) #Particle physics theoretical and experimental studies #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quark #Series (stratigraphy) #Systematic error #Truncation (statistics) #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0370-2693(96)01599-7

published as Phys.Lett.B393:124-131,1997 · Latex, 13 pages, 1 figure appended in uuencoded gzip.tar.file

arxiv created 1996/07/05 · openalex publication_date 1997/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a high statistics lattice calculation of the B--meson binding energy Λ of the heavy--quark inside the pseudoscalar B--meson. Our numerical results have been obtained from several independent numerical simulations at β=6.0, 6.2 and 6.4, and using, for the meson correlators, the results obtained by the APE group at the same values of β. Our best estimate, obtained by combining results at different values of β, is Λ=180⁺³⁰_-20 MeV. For the MS running mass, we obtain m_b(m_b)=4.15 ± 0.05 ± 0.20 GeV, in reasonable agreement with previous determinations. The systematic error is the truncation of the perturbative series in the matching condition of the relevant operator of the Heavy Quark Effective Theory.

Citations

• Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term
• Resummation of (ß0αs)n corrections in QCD: techniques and applications to the τ hadronic width and the heavy quark pole mass
• A high statistics lattice calculation of using the clover action

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