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arXiv 1004.4285hep-lat
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高精度c和b质量以及来自晶格和连续体中电流-电流关联函数的QCD耦合QCD

High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD

C. McNeile, C. T. H. Davies, E. Follana, K. Hornbostel, G. P. Lepage

摘要:

我们将早期对重夸克关联函数的晶格-QCD分析扩展到更小的晶格间距和更大的质量,以获得c质量和QCD耦合的新值,并且首次获得b质量的值:m_c(3GeV,n_f =4)=0.986(6)GeV,alpha_msb(M_Z,n_f=5)=0.1183(7),和m_b(10 GeV,n_f =5)=3.617(25)GeV。这些都是任何方法中最准确的测定。我们用质量比m_b(mu,n_f)/m_c(mu,n_f)的非微扰测定来检验我们的结果;两种方法的误差在1%以内,合在一起意味着m_b/m_c=4.51(4)。我们还更新了我们以前对威尔逊圈的alpha_msb的分析,以解释r_1和r_1/a的修正值,发现一个新值alpha_ \msb(M_Z,n_f=5)=0.1184(6);我们更新了我们最近对轻夸克质量的m_c/m_s比值的值。最后,在附录中,我们推导出一个简化和加速复杂的最小二乘拟合的过程。

英文摘要:

We extend our earlier lattice-QCD analysis of heavy-quark correlators to smaller lattice spacings and larger masses to obtain new values for the c mass and QCD coupling, and, for the first time, values for the b mass: m_c(3GeV,n_f=4)=0.986(6)GeV, alpha_msb(M_Z,n_f=5)=0.1183(7), and m_b(10GeV,n_f=5)=3.617(25)GeV. These are among the most accurate determinations by any method. We check our results using a nonperturbative determination of the mass ratio m_b(mu,n_f)/m_c(mu,n_f); the two methods agree to within our 1% errors and taken together imply m_b/m_c=4.51(4). We also update our previous analysis of alpha_msb from Wilson loops to account for revised values for r_1 and r_1/a, finding a new value alpha_\msb(M_Z,n_f=5)=0.1184(6); and we update our recent values for light-quark masses from the ratio m_c/m_s. Finally, in the Appendix, we derive a procedure for simplifying and accelerating complicated least-squares fits.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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