6533b861fe1ef96bd12c43e3

RESEARCH PRODUCT

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

Guido MartinelliV. GimenezChristopher T. Sachrajda

subject

PhysicsSystematic errorNuclear and High Energy PhysicsMesonHigh Energy Physics::LatticeBinding energyNuclear TheoryHigh Energy Physics - Lattice (hep-lat)QUARK EFFECTIVE THEORYPerturabation theoryHigh Energy Physics::PhenomenologyFOS: Physical sciencesFísicaParticle Physics - LatticeLambdaPseudoscalarHigh Energy Physics - PhenomenologyHigh Energy Physics - LatticeHigh Energy Physics - Phenomenology (hep-ph)Lattice (order)StatisticsHeavy quark effective theoryB mesonHigh Energy Physics::ExperimentNuclear Experiment

description

We present a high statistics lattice calculation of the B--meson binding energy $\overline{\Lambda}$ of the heavy--quark inside the pseudoscalar B--meson. Our numerical results have been obtained from several independent numerical simulations at $\beta=6.0$, $6.2$ and $6.4$, and using, for the meson correlators, the results obtained by the APE group at the same values of $\beta$. Our best estimate, obtained by combining results at different values of $\beta$, is $\overline{\Lambda}=180^{+30}_{-20}$ MeV. For the $\overline{MS}$ running mass, we obtain $\overline{m}_{b}(\overline{m}_{b})=4.15 \pm 0.05 \pm 0.20$ 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.

10.1016/s0370-2693(96)01599-7http://hdl.handle.net/10550/38987