Prediction of the B{c}{} mass in full lattice QCD

• Published in: Physical review letters Vol. 104; no. 2; p. 022001
• Main Authors: Gregory, E B, Davies, C T H, Follana, E, Gamiz, E, Kendall, I D, Lepage, G P, Na, H, Shigemitsu, J, Wong, K Y
• Format: Journal Article
• Language: English
• Published: United States 15-01-2010
• Subjects: B MESONS; BEAUTY MESONS; BEAUTY PARTICLES; BOSONS; C QUARKS; CHARM PARTICLES; CONSTRUCTIVE FIELD THEORY; D QUARKS; ELEMENTARY PARTICLES; ELEMENTS; ENERGY RANGE; FERMIONS; FIELD THEORIES; FORECASTING; GEV RANGE; GOLD; HADRONS; LATTICE FIELD THEORY; MESONS; METALS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PSEUDOSCALAR MESONS; QUANTUM CHROMODYNAMICS; QUANTUM FIELD THEORY; QUARKS; S QUARKS; STRANGE PARTICLES; TRANSITION ELEMENTS; U QUARKS
• ISSN: 0031-9007; 1079-7114
• DOI: 10.1103/PHYSREVLETT.104.022001

By using the highly improved staggered quark formalism to handle charm, strange, and light valence quarks in full lattice QCD, and NRQCD to handle bottom valence quarks, we are able to determine accurately ratios of the B meson vector-pseudoscalar mass splittings, in particular, [m(B{c}{*})-m(B{c})]/[m(B{s}{*})-m(B{s})]. We find this ratio to be 1.15(15), showing the "light" quark mass dependence of this splitting to be very small. Hence we predict m(B{c}{*})=6.330(7)(2)(6) GeV, where the first two errors are from the lattice calculation and the third from existing experiment. This is the most accurate prediction of a gold-plated hadron mass from lattice QCD to date.