Abstract
We calculate the next-to-leading order (NLO) radiative correction to the color-octet inclusive production in annihilation at a super factory, within the nonrelativistic QCD factorization framework. The analytic expression for the NLO short-distance coefficient (SDC) accompanying the color-octet production operator 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 energy spectrum is plagued with unphysical end-point singularity. With the aid of the soft-collinear effective theory, those large end-point logarithms are resummed to the next-to-leading logarithmic (NLL) accuracy. Consequently, further supplemented with the nonperturbative shape function, we obtain the well-behaved predictions for the energy spectrum in the entire kinematic range, which awaits examination by the forthcoming Belle II experiment.
- Received 25 April 2017
DOI:https://doi.org/10.1103/PhysRevD.98.014039
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