Factorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}

Abstract

In nonrelativistic QCD (NRQCD), we study $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$ at $B$ factories, where the P-wave state ${\chi }_{c0}$ is associated with an S-wave state $J/\psi$ or $\psi (2S)$. In contrast to the failure of factorization in most cases involving P-wave states, e.g. in B decays, we find that factorization holds in this process at next to leading order (NLO) in ${\alpha }_s$ and leading order (LO) in $v$, where the associated S-wave state plays a crucial rule in canceling the infrared (IR) divergences. We also give some general analyses for factorization in various double charmonium production. The NLO corrections in $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$ at $\sqrt{s}=10.6$ GeV are found to substantially enhance the cross sections by a factor of about 2.8; hence crucially reduce the large discrepancy between theory and experiment. With $m_c=1.5\mathrm{GeV}$ and $\mu =2m_c$, the NLO cross sections are estimated to be $17.9(11.3)$ fb for $e^{+}{e}^{-}\to J/\psi (\psi (2S))+{\chi }_{c0}$, which reach the lower bounds of experiment.

Version published in PRD, implications from eq.(5) on factorization are emphasized, references are added

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• Hadronic charmless B decays B-> AP
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• Color Transfer in Associated Heavy-Quarkonium Production
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Cited by in corpus (8)

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• Next-to-Leading-Order QCD Corrections to e^ + e^- -> J/ψ+gg at the B Factories
• QCD corrections to polarization of J/ψand Υat Fermilab Tevatron and CERN LHC
• Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γproduction at the LHC
• Pair Production of Heavy Quarkonium and $B_c{(}^{\ast })$ Mesons at Hadron Colliders
• J/ψpolarization in photo-production up-to the next-to-leading order of QCD
• ${\rm Y}$ decay to two-charm quark jets as a Probe of the Color Octet Mechanism