Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry

Abstract

We present the first study of $N_f=2+1+1+1$ lattice QCD with domain-wall quarks. The $(b,c,s)$ quarks are physical, while the $(u,d)$ quarks are heavier than their physical masses, with the pion mass $\sim 700$ MeV. The gauge ensemble is generated by hybrid Monte Carlo simulation with the Wilson gauge action for the gluons, and the optimal domain-wall fermion action for the quarks. Using point-to-point quark propagators, we measure the time-correlation functions of quark-antiquark meson interpolators with quark contents $\bar{b}b$, $\bar{b}c$, $\bar{b}s$, and $\bar{c}c$, and obtain the masses of the low-lying mesons. They are in good agreement with the experimental values, plus some predictions which have not been observed in experiments. Moreover, we also determine the masses of $(b,c,s)$ quarks.

Comments: 43 pages, 28 figures, v2: Journal published version