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Consistent, multidimensional differential histogramming and summary statistics with YODA 2

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arxiv 2312.15070 v4 pith:PMKFCFHV submitted 2023-12-22 hep-ph stat.CO

classification hep-phstat.CO
keywords histogrammingconsistentdatadifferentiallargelibrarymultidimensionalphysics
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Histogramming is often taken for granted, but the power and compactness of partially aggregated, multidimensional summary statistics, and their fundamental connection to differential and integral calculus make them formidable statistical objects, especially when very large data volumes are involved. But expressing these concepts robustly and efficiently in high-dimensional parameter spaces and for large data samples is a highly non-trivial challenge -- doubly so if the resulting library is to remain usable by scientists as opposed to software engineers. In this paper we summarise the core principles required for consistent generalised histogramming, and use them to motivate the design principles and implementation mechanics of the re-engineered YODA histogramming library, a key component of physics data-model comparison and statistical interpretation in collider physics.

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  1. Signals for a 2HDM with $Z'$ at the LHC

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    In a U(1)-extended two-Higgs-doublet model, scalar decays to a light Z' produce multilepton signals at the LHC, with discovery potential for scalar masses above 350 GeV at 3000 fb^-1.

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