$\eta_c$ production associated with light hadrons at the B-factories and the future super B-factories

TL;DR

This paper investigates $ ext{η}_c$ meson production with light hadrons at B-factories, testing the colour-octet mechanism through detailed calculations of different contributions and angular distributions, providing new insights into QCD processes.

Contribution

It provides the first detailed study of the angular distribution of $ ext{η}_c$ production at NLO, highlighting the dominance of the $^1S_0^{[8]}$ channel and the significance of the $^1P_1^{[8]}$ channel in angular patterns.

Findings

$^1S_0^{[8]}$ dominates total cross section

Angular distribution shows downward trend with respect to cosθ for $^1P_1^{[8]}$

Distinct signal for the colour-octet mechanism

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 $^1S_0^{[8]}$ production is studied at QCD next-to-leading order. We find that the $^1S_0^{[8]}$ channel dominate the total cross section, while the $^1P_1^{[8]}$ one exhibit its importance in the angular distribution, which turns out to be downward going with respect to $\mathrm{cos}\theta$. This can be considered as the most distinct signal for the CO mechanism.