NLO effects for Ω_(QQQ) baryons in QCD Sum Rules  

作　　者：Ren-Hua Wu Yu-Sheng Zuo Ce Meng Yan-Qing Ma Kuang-Ta Chao 吴仁华;左羽生;孟策;马滟青;赵光达(School of Physics and State Key Laboratory of Nuclear Physics and Technology,Peking University,Beijing 100871,China;Center for High Energy Physics,Peking University,Beijing 100871,China;Collaborative Innovation Center of Quantum Matter,Beijing 100871,China)

机构地区：[1]School of Physics and State Key Laboratory of Nuclear Physics and Technology,Peking University,Beijing 100871,China [2]Center for High Energy Physics,Peking University,Beijing 100871,China [3]Collaborative Innovation Center of Quantum Matter,Beijing 100871,China

出　　处：《Chinese Physics C》2021年第9期44-54,共11页中国物理C（英文版）

基　　金：Supported in part by the National Natural Science Foundation of China(11875071,11975029);the National Key Research and Development Program of China(2020YFA0406400)。

摘　　要：We study the triply heavy baryonsΩ_(QQQ)(Q=c,b)in the QCD sum rules by performing the first calculation of the next-to-leading order(NLO)contribution to the perturbative QCD part of the correlation functions.Compared with the leading order(LO)result,the NLO contribution is found to be very important to theΩ_(QQQ).This is because the NLO not only results in a large correction but also reduces the parameter dependence,making the Borel platform more distinct,especially for the Q_(bbb)in the MS scheme,where the platform appears only at NLO but not at LO.Particularly,owing to the inclusion of the NLO contribution,the renormalization schemes(MS and On-Shell)dependence and the scale dependence are significantly reduced.Consequently,after including the NLO contribution to the perturbative part in the QCD sum rules,the masses are estimated to be 4.53_)0.11)^(+0.26) GeV forΩ_(ccc) and14.27_(-0.32)^(+0.33) GeV forΩ_(bbb),where the results are obtained atμ=M_(B) with errors including those from the variation of the renormalization scaleμin the range(0.8-1.2)M_(B).A careful study of theμdependence in a wider range is further performed,which shows that the LO results are very sensitive to the choice ofμwhereas the NLO results are considerably better.In addition to theμ=M_(B) result,a more stable value,(4.75-4.80)GeV,for theΩ_(ccc) mass is found in the range ofμ=(1.2-2.0)M_(B),which should be viewed as a more relevant prediction in our NLO approach because of μ dependence.

关 键 词：BARYON heavy quark QCD sum rules NLO correction 

分 类 号：O572.34[理学—粒子物理与原子核物理]