Predictions of light hadronic decays of heavy quarkonium 1D2 states in nonrelativistic QCD

The inclusive light hadronic decays of D-1(2) heavy quarkonia are studied within the framework of the nonrelativistic QCD at the leading order in v and up to the order of alpha(3)(s). With one-loop QCD corrections, the infrared divergences and Coulomb singularities in the decay amplitudes are proved to be absorbed by the renormalization of the matrix elements of corresponding nonrelativistic QCD operators, and the infrared finite short-distance coefficients are obtained through the matching calculations. By taking the factorization scale to be 2m(Q), the light hadronic decay widths are estimated to be about 274, 4.7, and 8.8 KeV for eta(c2), eta(b2), and eta(')(b2), respectively. Based on the above estimates, and using the E1 transition width and dipion transition width for eta(c2) estimated elsewhere, we get the total width of eta(c2) to be about 660-810 KeV, and the branching ratio of the E1 transition eta(c2)->gamma h(c) to be about (44-54)%, which will be useful in searching for this missing charmonium state through, e.g., eta(c2)->gamma h(c) followed by h(c)->gamma eta(c).