B-meson spectroscopy in HQET at order 1/m

Bernardoni F., Blossier B., Bulava J., Della Morte M., Fritzsch P., Garron N., Gérardin A., Heitger J., Von Hippel G., Simma H.

Research article (journal) | Peer reviewed

Abstract

We present a study of the B spectrum performed in the framework of heavy quark effective theory expanded to next-to-leading order in 1/mb and nonperturbative in the strong coupling. Our analyses have been performed on Nf=2 lattice gauge field ensembles corresponding to three different lattice spacings and a wide range of pion masses. We obtain the Bs-meson mass and hyperfine splittings of the B- and Bs-mesons that are in good agreement with the experimental values and examine the mass difference mBs-mB as a further cross-check of our previous estimate of the b-quark mass. We also report on the mass splitting between the first excited state and the ground state in the B and Bs systems.