Earth mover’s distance as a measure of CP violation
نویسندگان
چکیده
A bstract We introduce a new unbinned two sample test statistic sensitive to CP violation utilizing the optimal transport plan associated with Wasserstein (earth mover’s) distance. The efficacy of is shown via examples asymmetric distributions varying sizes: Dalitz B 0 → K + π − and D decays. windowed version distance have comparable sensitivity as commonly used energy statistic, but also retains information about localized asymmetry over plot. For large datasets we modified based statistics — binned sliced statistics, which show violation, improved computing time memory scalings. Finally, general extensions applications introduced are discussed.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2023
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep06(2023)098