HQET at order $1/m$: II. Spectroscopy in the quenched approximation

TL;DR

This paper uses Heavy Quark Effective Theory in a quenched lattice setup to compute energy level splittings in the B_s meson system, including corrections up to order 1/m_b, employing advanced numerical techniques.

Contribution

It provides non-perturbative determinations of splittings in the B_s system at order 1/m, utilizing the GEVP and all-to-all propagators in a quenched lattice calculation.

Findings

Calculated splittings between ground and excited states of B_s mesons.

Determined the hyperfine splitting between B_s^* and B_s.

Quantified the impact of 1/m_b corrections on spectroscopy.

Abstract

Using Heavy Quark Effective Theory with non-perturbatively determined parameters in a quenched lattice calculation, we evaluate the splittings between the ground state and the first two radially excited states of the $B_s$ system at static order. We also determine the splitting between first excited and ground state, and between the $B_s^*$ and $B_s$ ground states to order $1/m_b$. The Generalized Eigenvalue Problem and the use of all-to-all propagators are important ingredients of our approach.