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

Chinese Physics C 2021年第9期45卷 44-54页

作者： Ren-Hua Wu Yu-Sheng Zuo Ce Meng Yan-Qing Ma Kuang-Ta Chao School of Physics and State Key Laboratory of Nuclear Physics and Technology Peking UniversityBeijing 100871China Center for High Energy Physics Peking UniversityBeijing 100871China Collaborative Innovation Center of Quantum Matter Beijing 100871China

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 *** 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 ***,owing to the inclusion of the nlo contribution,the renormalization schemes(MS and On-Shell)dependence and the scale dependence are significantly ***,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 *** 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

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