Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference

Johannes Erdmann; Cornelius Grunwald; Kevin Kröninger; Salvatore La Cagnina; Lars Röhrig; Erich Varnes

doi:10.1016/j.nima.2021.165939

Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference

Johannes Erdmann, Cornelius Grunwald, Kevin Kröninger, Salvatore La Cagnina, Lars Röhrig, Erich Varnes

Physics

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1 Scopus citations

Abstract

Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from simulation and is often directly determined from data. A popular method is the matrix method, which however suffers from several limitations. This paper recapitulates an alternative approach based on a likelihood with Poisson constraints and reformulates the problem from a different starting point in the framework of Bayesian statistics. The equality of both approaches is shown and several cases are studied in which the matrix method is limited. In addition, the fake-lepton background is recalculated and compared to the estimate with the matrix method in an example top-quark measurement.

Original language	English (US)
Article number	165939
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	1021
DOIs	https://doi.org/10.1016/j.nima.2021.165939
State	Published - Jan 1 2022

Keywords

Bayesian inference
Fake-lepton background
Hadron-collider experiment
Particle physics

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation

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10.1016/j.nima.2021.165939

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Erdmann, J., Grunwald, C., Kröninger, K., La Cagnina, S., Röhrig, L., & Varnes, E. (2022). Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1021, Article 165939. https://doi.org/10.1016/j.nima.2021.165939

Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference. / Erdmann, Johannes; Grunwald, Cornelius; Kröninger, Kevin et al.
In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 1021, 165939, 01.01.2022.

Research output: Contribution to journal › Article › peer-review

Erdmann, J, Grunwald, C, Kröninger, K, La Cagnina, S, Röhrig, L & Varnes, E 2022, 'Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference', Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 1021, 165939. https://doi.org/10.1016/j.nima.2021.165939

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abstract = "Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from simulation and is often directly determined from data. A popular method is the matrix method, which however suffers from several limitations. This paper recapitulates an alternative approach based on a likelihood with Poisson constraints and reformulates the problem from a different starting point in the framework of Bayesian statistics. The equality of both approaches is shown and several cases are studied in which the matrix method is limited. In addition, the fake-lepton background is recalculated and compared to the estimate with the matrix method in an example top-quark measurement.",

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AU - Varnes, Erich

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AB - Prompt isolated leptons are essential in many analyses in high-energy particle physics but are subject to fake-lepton background, i.e. objects that mimic the lepton signature. The fake-lepton background is difficult to estimate from simulation and is often directly determined from data. A popular method is the matrix method, which however suffers from several limitations. This paper recapitulates an alternative approach based on a likelihood with Poisson constraints and reformulates the problem from a different starting point in the framework of Bayesian statistics. The equality of both approaches is shown and several cases are studied in which the matrix method is limited. In addition, the fake-lepton background is recalculated and compared to the estimate with the matrix method in an example top-quark measurement.

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Reformulation of a likelihood approach to fake-lepton estimation in the framework of Bayesian inference

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