Teilchenkolloquium at TU Dortmund

Earth movers distance as a measure of CP violation

Abstract

We present a novel unbinned two sample test statistic sensitive to CP violation utilizing the optimal transport plan associated with the Wasserstein (earth movers) distance. The efficacy of the test statistic is shown via two examples of CP asymmetric distributions with varying sample sizes; the Dalitz distributions of B0 and D0 decays. The test statistic not only shows comparable sensitivity to CP violation as the commonly used energy test statistic but also retains valuable information about the localized distributions of CP asymmetry across the Dalitz plot. Additionally, we introduce two alternative test statistics that offer similar sensitivities to CP violation while significantly improving the time and space complexity scalings.

Date
Aug 17, 2023 12:00 AM
Location
TU Dortmund, Dortmund, Germany
Ahmed Youssef
Ahmed Youssef
Ph.D. Candidate

My research interests include generative modeles, probalistic modeling, and there application in science and outside.