Inclusive $h_c$ production and energy spectrum from $e^+ e^-$ annihilation at Super $B$ factory

Understand

We calculate the next-to-leading order (NLO) radiative correction to the color-octet $h_c$ inclusive production in $e^+e^-$ annihilation at Super $B$ factory, within the nonrelativistic QCD factorization framework.

• The analytic expression for the NLO short-distance coefficient (SDC) accompanying the color-octet production operator $\mathcal{O}_8^{h_c}(^1S_0)$ is obtained after summing both virtual and real corrections.
• The size of NLO correction for the color-octet production channel is found to be positive and substantial.
• The NLO prediction to the $h_c$ energy spectrum is plagued with unphysical endpoint singularity.