NLO QCD Corrections to $\eta_c+h_c(1P)/\psi_{1,2}(1D)$ Production at B-factories

TL;DR

This paper computes NLO QCD corrections to double charmonium production at B-factories, revealing process-dependent correction signs and improved scale dependence, enhancing theoretical predictions within the NRQCD framework.

Contribution

It provides the first NLO QCD correction calculations for specific double charmonium production processes, improving accuracy and understanding of these reactions.

Findings

Corrections to $ ta_c+h_c(1P)$ are positive.

Corrections to $ ta_c+ ext{psi}_{1,2}(1D)$ are negative.

Scale dependence is significantly reduced with NLO corrections.

Abstract

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to double charmonium production processes $e^+e^-\to\gamma^*\to\eta_c+h_c(1P)/\psi_{1,2}(1D)$ within the non-relativistic QCD (NRQCD) factorization framework. We find that the corrections to $\eta_c+h_c(1P)$ production are positive, while those to $\eta_c+\psi_{1,2}(1D)$ are negative. Unlike the $J/\psi + \eta_c$ case, all the corrections here are not large. Uncertainties in the renormalization scale, quark mass and running energy of center-of-mass are discussed, and the scale dependence of these processes is found to be greatly reduced with the NLO QCD corrections.