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arXiv 1603.03061hep-phhep-exphysics.data-an
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用中心极限定理驯服LHC的系统不确定性

Taming systematic uncertainties at the LHC with the central limit theorem

Sylvain Fichet

摘要:

我们研究的简化发生在任何似然函数中存在大量的小系统的不确定性。我们发现,这些不确定性的边际化可以通过分析二阶误差传播,误差组合,李雅普诺夫中心极限定理,并在温和的近似下,这是典型的满足LHC似然。这种分析的结果是:i)一个非常轻的处理系统的不确定性,ii)一个方便的方法来报告的主要影响,系统的不确定性,如探测器的影响发生在大型强子对撞机测量。

英文摘要:

We study the simplifications occurring in any likelihood function in the presence of a large number of small systematic uncertainties. We find that the marginalisation of these uncertainties can be done analytically by means of second-order error propagation, error combination, the Lyapunov central limit theorem, and under mild approximations which are typically satisfied for LHC likelihoods. The outcomes of this analysis are i) a very light treatment of systematic uncertainties ii) a convenient way of reporting the main effects of systematic uncertainties such as the detector effects occuring in LHC measurements.

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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