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重介子性质的QCD求和规则计算的最新结果

Recent results in QCD sum rule calculations of heavy meson properties

Dmitri Melikhov

备注：
15 pages, Plenary talk given at The XXth International Workshop High Energy Physics and Quantum Field Theory (QFTHEP2011), September 24 - October 1, 2011, Sochi, Russia
发表信息：
PoS QFTHEP2011:016, 2011
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摘要：

本文综述了从场论算符的算子乘积展开（OPE）中提取束缚态特征的最新进展，它构成了QCD求和规则方法的基础。这一进展主要涉及对求和规则方法的关键要素之一-有效连续阈值-的更深入理解。后者在很大程度上决定了由求和规则得到的束缚态参数的数值。理解的有效连续阈值的属性允许一个制定一个新的算法fixng这个数量为各种不同的放大器，并以这种方式增益控制的系统不确定性的边界状态参数提取的总和规则。我们从量子力学的例子开始，在量子力学中，束缚态的性质可以用两种方法独立地计算：精确地，通过求解薛定谔方程，以及近似地，通过色散求和规则的方法。知道精确的解是至关重要的，因为它允许我们控制求和规则提取过程的每一步。在此基础上，我们对QCD求和规则方法所采用的标准程序提出了几点改进。然后，我们展示了这些修改的影响上提取的衰变常数的重介子。

英文摘要：

This talk reviews the recent progress in the extraction of bound-state characteristics from the operator-product expansion (OPE) for field-theory correlators, which constitutes the basis of the method of QCD sum rules. This progress is mainly related to a deeper understanding of one of the key ingredients of the method of sum rules -- the effective continuum threshold. The latter determines to a great extent the numerical values of the bound-state parameters obtained by sum rules. The understanding of properties of the effective continuum threshold allows one to formulate a new algorithm for fixng this quantity for various correlators and in this way gain control over the systematic uncertainties of the bound-state parameters extracted from sum rules. We start with examples from quantum mechanics, where bound-state properties may be calculated independently in two ways: exactly, by solving the Schrödinger equation, and approximately, by the method of dispersive sum rules. Knowing the exact solution is crucial as it allows us to control each step of the sum-rule extraction procedure. On the basis of this analysis, we formulate several improvements of the standard procedures adopted in the method of sum rules in QCD. We then show the impact of these modifications on the extraction of the decay constants of heavy mesons.

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