用SVZ求和规则提取束缚态参数的系统误差
Systematic errors of bound-state parameters extracted by means of SVZ sum rules
摘要：
本文介绍了我们对由Shifman-Vainshtein-Zakharov（SVZ）求和规则得到的基态参数的系统误差的研究结果。我们使用谐振子势模型作为一个例子：在这种情况下，我们知道极化算子的精确解，这使我们能够获得任何阶的OPE和束缚态的参数（质量和衰变常数）。我们利用QCD求和规则的标准程序提取了基态的参数，并将所得结果与已知的精确值进行了比较。我们表明，如果连续贡献的极化算子是未知的，是由一些有效的连续阈值建模，在总和规则中采用的标准程序不允许一个增益控制提取的基态参数的系统误差。
英文摘要：
This talk presents the results of our study of systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules. We use the harmonic-oscillator potential model as an example: in this case we know the exact solution for the polarization operator, which allows us to obtain both the OPE to any order and the parameters (masses and decay constants) of the bound states. We extract the parameters of the ground state by making use of the standard procedures of the method of QCD sum rules, and compare the obtained results with their known exact values. We show that if the continuum contribution to the polarization operator is not known and is modelled by some effective continuum threshold, the standard procedures adopted in sum rules do not allow one to gain control over the systematic errors of the extracted ground-state parameters.
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