arXiv 1101.59862011-01-31hep-phhep-exhep-lat

由QCD求和规则计算D和D_s介子的OPE、粲夸克质量和衰变常数

OPE, charm-quark mass, and decay constants of D and D_s mesons from QCD sum rules

Wolfgang Lucha, Dmitri Melikhov, Silvano Simula

备注：: 8 pages
发表信息：: Phys.Lett.B701:82-88,2011
DOI：: 10.1016/j.physletb.2011.05.031

摘要：

本文提出了从赝标流两点关联器中提取粲介子D和D_s衰变常数的求和规则。首先，我们比较了相关器的微扰展开和衰变常数的魅力夸克的极点和运行MSbar质量。根据极质量的微扰膨胀没有收敛的迹象，而重组这方面的MSbar质量非常膨胀导致一个独特的层次结构的微扰膨胀。此外，从极点质量相关器中提取的衰变常数比通过MS棒质量相关器获得的衰变常数小得多。第二，利用OPE的MSbar质量，我们确定了D和D_s介子的衰变常数，并着重讨论了这些量的不确定性与输入QCD参数和求和规则方法的有限精度的关系。

英文摘要：

We present a sum-rule extraction of the decay constants of the charmed mesons D and D_s from the two-point correlator of pseudoscalar currents. First, we compare the perturbative expansion for the correlator and the decay constant performed in terms of the pole and the running MSbar masses of the charm quark. The perturbative expansion in terms of the pole mass shows no signs of convergence whereas reorganizing this very expansion in terms of the MSbar mass leads to a distinct hierarchy of the perturbative expansion. Furthermore, the decay constants extracted from the pole-mass correlator turn out to be considerably smaller than those obtained by means of the MSbar-mass correlator. Second, making use of the OPE in terms of the MSbar mass, we determine the decay constants of both D and D_s mesons with an emphasis on the uncertainties in these quantities related both to the input QCD parameters and to the limited accuracy of the method of sum rules.

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