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arXiv 1011.4306hep-phhep-exphysics.data-an
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基于ATLAS灵敏度的快速神经网络技术的CMSSM覆盖研究

A Coverage Study of the CMSSM Based on ATLAS Sensitivity Using Fast Neural Networks Techniques

M. Bridges, K. Cranmer, F. Feroz, M. Hobson, R. Ruiz de Austri, R. Trotta

摘要:

我们评估覆盖属性的置信度和可信区间的CMSSM参数空间推断贝叶斯后验和配置文件的可能性的基础上ATLAS的敏感性研究。为了使这些计算可行,我们引入了一种新的方法,基于神经网络来近似CMSSM参数和弱尺度粒子质量之间的映射。相对于传统技术,我们的方法将对CMSSM参数空间进行采样所需的计算工作量减少了约10^4倍。我们发现,贝叶斯后验和配置文件的似然区间可以显着覆盖,并确定这种影响的起源在参数空间中的物理边界。最后,我们指出,统计过程中固有的影响与实验本身的似然函数的简化相混淆。

英文摘要:

We assess the coverage properties of confidence and credible intervals on the CMSSM parameter space inferred from a Bayesian posterior and the profile likelihood based on an ATLAS sensitivity study. In order to make those calculations feasible, we introduce a new method based on neural networks to approximate the mapping between CMSSM parameters and weak-scale particle masses. Our method reduces the computational effort needed to sample the CMSSM parameter space by a factor of ~ 10^4 with respect to conventional techniques. We find that both the Bayesian posterior and the profile likelihood intervals can significantly over-cover and identify the origin of this effect to physical boundaries in the parameter space. Finally, we point out that the effects intrinsic to the statistical procedure are conflated with simplifications to the likelihood functions from the experiments themselves.

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