The simplified likelihood framework
- 39 Downloads
We discuss the simplified likelihood framework as a systematic approximation scheme for experimental likelihoods such as those originating from LHC experiments. We develop the simplified likelihood from the Central Limit Theorem keeping the next-to-leading term in the large N expansion to correctly account for asymmetries. Moreover, we present an efficient method to compute the parameters of the simplified likelihood from Monte Carlo simulations. The approach is validated using a realistic LHC-like analysis, and the limits of the approximation are explored. Finally, we discuss how the simplified likelihood data can be conveniently released in the HepData error source format and automatically built from it, making this framework a convenient tool to transmit realistic experimental likelihoods to the community.
KeywordsBeyond Standard Model Hadron-Hadron scattering (experiments)
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- CMS collaboration¡/a¿, Simplified likelihood for the re-interpretation of public CMS results, CMS-NOTE-2017-001 (Simplified likelihood for the re-interpretation of public CMS results).
- CDF collaboration, Objective Bayesian Upper Limits for Poisson Processes, Tech. Rep. CDF/MEMO/STATISTICS/PUBLIC/5928, (2005).Google Scholar
- P. Billingsley, Probability and Measure, Wiley, (2012).Google Scholar
- Particle Data Group collaboration, Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
- L. Lyons and N. Wardle, Statistical issues in searches for new phenomena in High Energy Physics, J. Phys. G 45 (2018) 033001 [INSPIRE].
- ATLAS and CMS collaborations and The LHC Higgs Combination Group, Procedure for the LHC Higgs boson search combination in Summer 2011, ATL-PHYS-PUB-2011-011 (2011).