B-meson spectroscopy in HQET at order 1/m

TL;DR

This paper uses lattice QCD and HQET at order 1/m to accurately compute B-meson spectra, including masses and splittings, aligning well with experimental data and refining b-quark mass estimates.

Contribution

It provides a non-perturbative lattice QCD analysis of B-meson spectroscopy within HQET at order 1/m, including excited states and hyperfine splittings.

Findings

B-meson masses and splittings agree with experimental values

Refined estimate of the b-quark mass from mass differences

First excited state and ground state mass splittings reported

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/m and non-perturbative 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 m_{Bs}-m_B 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.