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

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dc.creatorZhang, Yu-Jie
dc.creatorMa, Yan-Qing
dc.creatorChao, Kuang-Ta
dc.date2008-02-25
dc.date2008-09-09
dc.date.accessioned2026-07-07T12:26:53Z
dc.date.available2026-07-07T12:26:53Z
dc.descriptionIn nonrelativistic QCD (NRQCD), we study $e^+ e^- \to J/ψ(ψ(2S)) +χ_{c0}$ at $B$ factories, where the P-wave state $χ_{c0}$ is associated with an S-wave state $J/ψ$ or $ψ(2S)$. 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 $α_s$ 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 $e^+ e^- \to J/ψ(ψ(2S)) +χ_{c0}$ 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 $m_c=1.5{\rm GeV}$ and $μ=2m_c$, the NLO cross sections are estimated to be $17.9(11.3)$ fb for $e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0}$, which reach the lower bounds of experiment.
dc.descriptionVersion published in PRD, implications from eq.(5) on factorization are emphasized, references are added
dc.identifierhttps://arxiv.org/abs/0802.3655
dc.identifierhttp://arxiv.org/abs/0802.3655
dc.identifierPhys.Rev.D78:054006,2008
dc.identifierdoi:10.1103/PhysRevD.78.054006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215024
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleFactorization and NLO QCD correction in e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0} at B Factories}
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