Sonderkolloquium: Model-Independent phase correction in D → KS π+ π− decays for the precise measurement of CKM angle γ in B± → D K± transitions

Precise determination of the Cabibbo-Kobayashi-Maskawa angle γ is a key goal in testing the Standard Model. This talk presents a novel unbinned model-independent method for measuring γ using B± → D K± decays, where D → KS π+ π−. The method uses the data-driven decay-amplitude phases derived from quantum-correlated charm threshold data from the BESIII experiment. It therefore removes the unavoidable model assumptions of the D decay amplitude, which is an important source of systematic uncertainty and is hard to estimate. This unbinned approach can also make full use of the information in the D decay phase space. Using the simulated data samples of B± → D K± decays and quantum-correlated D → KS π+ π− decays, we demonstrate that this method achieves a statistical precision on γ of 4.65 degrees, with a charm-related systematic uncertainty contribution of only 0.3 degrees.

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