Beauty mesons in lattice QCD with exact chiral symmetry
Abstract
We present the first study of treating b, c, and s quarks as Dirac fermions in lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with single-plaquette action at beta = 7.2 on the 323 x 60 lattice, we compute point-to-point quark propagators for 33 quark masses in the range 0.01 < mq a < 0.85, and measure the time-correlation function of (pseudo-)scalar, (pseudo-)vector, and tensor mesons, for symmetric and asymmetric quark masses respectively. The lowest-lying mass spectra of mesons with quark contents bbbar, cbbar, sbbar, and ccbar are determined, together with the pseudoscalar decay constants. Our results are sumarized in Tables 1-5. Furthermore, we also determine the b and c quark masses in the MSbar scheme, mb = 4.65(5) GeV, and mc = 1.16(4) GeV.