Hadronic annihilation decay rates ofP-wave heavy quarkonia with relativistic corrections

Abstract

We calculate the relativistic corrections to the hadronic annihilation decay rates of $P$-wave heavy quarkonia, and expressions for the decay rates of four $P$-wave states are given to next-to-leading order in both the strong coupling constant ${\ensuremath{\alpha}}_{s}$ and the velocity $v$ of the heavy quark. They include ten nonperturbative parameters, which can be rigorously defined as corresponding matrix elements of color-singlet and color-octet four-fermion operators in nonrelativistic QCD. We expect all these parameters can be determined from lattice calculations in the future.