Matrix Element Method in HEP: Transfer Functions, Efficiencies, and Likelihood Normalization

Abstract

This article surveys the procedures used for deriving detector transfer functions and normalizing probability densities for the statistical analysis technique known as the "matrix element method" in the context of high energy physics (HEP) data analysis. Common misconceptions about transfer functions and efficiencies are pointed out and clarified.

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• Machine Learning in High Energy Physics Community White Paper
• Reconstruction of the Higgs mass in events with Higgs bosons decaying into a pair of tau leptons using matrix element techniques
• Using the (Modified) Matrix Element Method to constrain $L_{\mu }-L_{\tau }$ Interactions
• Strategic Plan for a Scientific Software Innovation Institute (S2I2) for High Energy Physics
• Application of the matrix element method to Higgs boson pair production in the channel $\text{HH}\to \text{b}\bar{\text{b}}\text{W}{\text{W}}^{\ast }$ at the LHC