Meaningful characterisation of perturbative theoretical uncertainties
Meaningful characterisation of perturbative theoretical uncertainties
复制标题
微扰理论不确定性的有意义的表征
DOI：
10.1007/jhep09(2011)039
复制
发表时间：
2011
影响因子：
5.4
通讯作者：
Nicolas Houdeau
中科院分区：
文献类型：
--
作者：
M. Cacciari;Nicolas Houdeau
我们考虑了为扰动序列的不确定性估计赋予一个有意义的置信度的问题。我们分析了使用重整化尺度变化进行的传统估计中所隐含的假设。然后，我们建立了一个贝叶斯模型，该模型在给定等价的初始假设的情况下，允许人们以严格的方式用序列其余部分的可信度区间来刻画扰动理论的不确定性。在计算e+e− → 强子过程的QCD修正的简单情况下，我们将其结果与传统的不确定度估计进行了比较。我们发现了类似的结果，但有重要的概念差异。这项工作代表着朝着更全面和更严格地处理高能现象学中使用的微扰计算中的理论不确定性的方向迈出了第一步。
We consider the problem of assigning a meaningful degree of belief to uncertainty estimates of perturbative series. We analyse the assumptions which are implicit in the conventional estimates made using renormalisation scale variations. We then formulate a Bayesian model that, given equivalent initial hypotheses, allows one to characterise a perturbative theoretical uncertainty in a rigorous way in terms of a credibility interval for the remainder of the series. We compare its outcome to the conventional uncertainty estimates in the simple case of the calculation of QCD corrections to the e+e− → hadrons process. We find comparable results, but with important conceptual differences. This work represents a first step in the direction of a more comprehensive and rigorous handling of theoretical uncertainties in perturbative calculations used in high energy phenomenology.