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arXiv 0802.3655hep-phhep-ex
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B工厂e^+ e^- \to J/N（N（2S））+ χ_{ c0 }中的因子分解和NLO修正

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

Yu-Jie Zhang, Yan-Qing Ma, Kuang-Ta Chao

备注：
Version published in PRD, implications from eq.(5) on factorization are emphasized, references are added
发表信息：
Phys.Rev.D78:054006,2008
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摘要：

在非相对论QCD（NRQCD）中，我们在$B$工厂研究了$e^+ e^- \to J/ψ(ψ(2S)) +χ_{c0}$，其中P波态$χ_{c0}$与S波态$J/ψ$或$ψ(2S)$相关联。在大多数情况下，涉及P-波状态，例如在B衰变的因式分解的失败，相反，我们发现因式分解在这个过程中，在$α_s$和$v$的领导顺序（LO），其中相关的S-波状态起着至关重要的规则，在取消红外（IR）的分歧。对各种双粲偶素产生式中的因子分解也作了一般性的分析。在$\sqrt{s}=10.6$ GeV的$e^+ e^- \to J/ψ(ψ(2S)) +χ_{c0}$的非线性光学修正被发现大大提高了约2.8倍的横截面，因此至关重要地减少理论和实验之间的巨大差异。用$m_c=1.5{\rm GeV}$和$μ=2m_c$估算了$e^+ e^- \to J/ψ(ψ(2S))+ χ_{c0}$的非线性光学截面为$17.9(11.3)$ fb，达到了实验的下限.

英文摘要：

In 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.

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