${\eta }_c$ production associated with light hadrons at the B-factories and the future super B-factories

Abstract

We present a complete study of the associated production of the ${\eta }_c$ meson with light hadrons in $e^{+}{e}^{-}$ collisions at the B-factory energy, which is demonstrated to be one of the best laboratories for testing the colour-octet (CO) mechanism. The colour-siglet contributions are evaluated up to $O({\alpha }^2{\alpha }_s^3)$ while the CO ones are evaluated up to $O({\alpha }^2{\alpha }_s^2)$. For the first time, the angular distribution of the ${}^1{S}_0^{[8]}$ production is studied at QCD next-to-leading order. We find that the ${}^1{S}_0^{[8]}$ channel dominate the total cross section, while the ${}^1{P}_1^{[8]}$ one exhibit its importance in the angular distribution, which turns out to be downward going with respect to $\cos \theta$. This can be considered as the most distinct signal for the CO mechanism.