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通过$W$玻色子衰变在LHC上产生重夸克偶素

Heavy Quarkonium Production at LHC through $W$ Boson Decays

Qi-Li Liao, Xing-Gang Wu, Jun Jiang, Zhi Yang, Zhen-Yun Fang

备注：
24 pages, 12 figures. References updated. To be published in Phys.Rev. D. To match the published version
发表信息：
Phys. Rev. D 85, 014032 (2012)
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摘要：

在非相对论QCD框架下，系统地研究了重$(c\bar{c})$ -夸克偶素、$(c\bar{b})$ -夸克偶素和$(b\bar{b})$ -夸克偶素态（简称$(Q\bar{Q'})$ -夸克偶素）通过$W^+$半包含衰变的产生.除了两个色单重态$S$波态外，我们还讨论了四个色单重态$P$波态$|(Q\bar{Q'})(^1P_1)_{\bf 1}>$和$(Q\bar{Q'})(^3P_J)_{\bf 1}>$（含$J=(1,2,3)$）以及两个色八重态组分$|(Q\bar{Q'})(^1S_0)_{\bf 8}>$和$|(Q\bar{Q'})(^3S_1)_{\bf 8}>$的产生。采用改进的迹线技术，导出了幅度级的简化解析表达式，为处理后续级联衰减通道提供了依据。在光度为${\cal L}\propto 10^{34}cm^{-2}s^{-1}$、质心能量为$\sqrt{S}=14$ TeV的LHC上，通过$W^+$玻色子衰变可以产生相当大的重夸克偶素事件，即每年的$2.57\times10^6$ $η_c$、$2.65\times10^6$ $J/Ψ$和$2.40\times10^6$ $P$ -波粲偶素事件;每年的$1.01\times10^5$ $B_c$、$9.11\times10^4$ $B^*_c$和$3.16\times10^4$ $P$ -波$(c\bar{b})$ -夸克偶素事件。还讨论了主要的理论不确定性。通过加入夸克质量的正交不确定性，我们得到了$Γ_{W^+\to (c\bar{c})+c\bar{s}} =524.8^{+396.3}_{-258.4}$ KeV，$Γ_{W^+\to (c\bar{b})+b\bar{s}} =13.5^{+4.73}_{-3.29}$ KeV，$Γ_{W^+\to (c\bar{b})+c\bar{c}}= 1.74^{+1.98}_{-0.73}$ KeV和$Γ_{W^+\to (b\bar{b})+c\bar{b}}= 38.6^{+13.4}_{-9.69}$ eV.

英文摘要：

The production of the heavy $(c\bar{c})$-quarkonium, $(c\bar{b})$-quarkonium and $(b\bar{b})$-quarkonium states ($(Q\bar{Q'})$-quarkonium for short), via the $W^+$ semi-inclusive decays, has been systematically studied within the framework of the non-relativistic QCD. In addition to the two color-singlet $S$-wave states, we also discuss the production of the four color-singlet $P$-wave states $|(Q\bar{Q'})(^1P_1)_{\bf 1}>$ and $(Q\bar{Q'})(^3P_J)_{\bf 1}>$ (with $J=(1,2,3)$) together with the two color-octet components $|(Q\bar{Q'})(^1S_0)_{\bf 8}>$ and $|(Q\bar{Q'})(^3S_1)_{\bf 8}>$. Improved trace technology is adopted to derive the simplified analytic expressions at the amplitude level, which shall be useful for dealing with the following cascade decay channels. At the LHC with the luminosity ${\cal L}\propto 10^{34}cm^{-2}s^{-1}$ and the center-of-mass energy $\sqrt{S}=14$ TeV, sizable heavy-quarkonium events can be produced through the $W^+$ boson decays, i.e. $2.57\times10^6$ $η_c$, $2.65\times10^6$ $J/Ψ$ and $2.40\times10^6$ $P$-wave charmonium events per year can be obtained; and $1.01\times10^5$ $B_c$, $9.11\times10^4$ $B^*_c$ and $3.16\times10^4$ $P$-wave $(c\bar{b})$-quarkonium events per year can be obtained. Main theoretical uncertainties have also been discussed. By adding the uncertainties caused by the quark masses in quadrature, we obtain $Γ_{W^+\to (c\bar{c})+c\bar{s}} =524.8^{+396.3}_{-258.4}$ KeV, $Γ_{W^+\to (c\bar{b})+b\bar{s}} =13.5^{+4.73}_{-3.29}$ KeV, $Γ_{W^+\to (c\bar{b})+c\bar{c}}= 1.74^{+1.98}_{-0.73}$ KeV and $Γ_{W^+\to (b\bar{b})+c\bar{b}}= 38.6^{+13.4}_{-9.69}$ eV.

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