Can NRQCD Explain the $\gamma\gamma^* \to \eta_c$ Transition Form Factor Data?

摘要: Unlike the bewildering situation in the γγ∗→π form factor, a widespread view is that perturbative QCD can decently account for the recent \textsc{BaBar} measurement of γγ∗→ηc transition form factor. The next-to-next-to-leading order (NNLO) perturbative correction to the γγ∗→ηc,b form factor, is investigated in the NRQCD factorization framework for the first time. As a byproduct, we obtain by far the most precise order-α2s NRQCD matching coefficient for the ηc,b→γγ process. After including the substantial negative order-α2s correction, the good agreement between NRQCD prediction and the measured γγ∗→ηc form factor is completely ruined over a wide range of momentum transfer squared. This eminent discrepancy casts some doubts on the applicability of NRQCD approach to hard exclusive reactions involving charmonium.