Model-independent determination of the strong-phase difference between D⁰ and D⁰ → π⁺π^-π⁺π^- decays

2024/08/29 by BESIII Collaboration, M. Ablikim, М. Н. Ачасов +748
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Atomic and Subatomic Physics Research

paper · pdf · doi:10.48550/arxiv.2408.16279

Abstract

Measurements of the strong-phase difference between D⁰ and D⁰→π⁺π^-π⁺π^- are performed in bins of phase space. The study exploits a sample of quantum-correlated DD mesons collected by the BESIII experiment in e⁺e^- collisions at a center-of-mass energy of 3.773~GeV, corresponding to an integrated luminosity of 2.93~fb^-1. Here, D denotes a neutral charm meson in a superposition of flavor eigenstates. The reported results are valuable for measurements of the C P-violating phase γ (also denoted ϕ₃) in B^± → DK^±, D → π⁺π^-π⁺π^- decays, and the binning schemes are designed to provide good statistical sensitivity to this parameter. The expected uncertainty on γ arising from the precision of the strong-phase measurements, when applied to very large samples of B-meson decays, is around 1.5^∘ or 2^∘, depending on the binning scheme. The binned strong-phase parameters are combined to give a value of F₊^4π = 0.746 ± 0.010 ± 0.004 for the C P-even fraction of D⁰ → π⁺π^-π⁺π^- decays, which is around 30% more precise than the previous best measurement of this quantity.

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