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arXiv 1708.04563hep-ph
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QCD求和规则中重子的NLO效应

NLO Effects for Doubly Heavy Baryon in QCD Sum Rules

Chen-Yu Wang, Ce Meng, Yan-Qing Ma, Kuang-Ta Chao

摘要:

利用QCD求和规则方法研究了新发现的二重重子$Ξ_{cc}^{++}$。解析计算了次领先阶(NLO)对含两个全同重夸克的$J^{P} = \frac{1}{2}^{+}$重子流微扰部分的贡献,并在NLO水平上重新分析了$Ξ_{cc}^{++}$的质量.我们发现,非线性光学校正显着改善方案的依赖性和规模的依赖性,而它是很难控制这些理论的不确定性在领先的顺序。在考虑非线性光学贡献的情况下,重子质量估计为$m_{Ξ_{cc}^{++}} = 3.66_{-0.10}^{+0.08} \text{~GeV}$,与LHCb的测量结果一致.

英文摘要:

With the QCD sum rules approach, we study the newly discovered doubly heavy baryon $Ξ_{cc}^{++}$. We analytically calculate the next-to-leading order (NLO) contribution to the perturbative part of $J^{P} = \frac{1}{2}^{+}$ baryon current with two identical heavy quarks, and then reanalyze the mass of $Ξ_{cc}^{++}$ at the NLO level. We find that the NLO correction significantly improves both scheme dependence and scale dependence, whereas it is hard to control these theoretical uncertainties at leading order. With the NLO contribution, the baryon mass is estimated to be $m_{Ξ_{cc}^{++}} = 3.66_{-0.10}^{+0.08} \text{~GeV}$, which is consistent with the LHCb measurement.

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