PHENOMENOLOGY OF HEAVY QUARK SYSTEMS AND NRQCD MATCHING COEFFICIENTS

The recent lattice calculations of Bali, Schilling and Wachter (BSW) have made possible an unprecedented level of contact with phenomenology since these authors were able to completely determine all of the leading relativistic corrections to the heavy quark potentials. Since this work is based on the effective Lagrangian of NRQCD, it shares with other lattice calculations a need for reliable inputs for the matching coefficients c_i(μ, m). We compare calculations based on the BSW determination of the matching coefficients from one-loop expressions with those from the tree-level approximation, namely, c_i(μ, m) = 1. Using the central potential generated from the BSW lattice calculation, we find that the upsilon energies are not sensitive to this difference, but charmonium energies give a preference for the one-loop values.