Abstract
Exploiting B-meson decays for Standard Model tests and beyond requires a precise understanding of the strong final-state interactions that can be provided model-independently by means of dispersion theory. This formalism allows one to deduce the universal pion-pion final-state interactions from the accurately known ππ phase shifts and, in the scalar sector, a coupled-channel treatment with the kaon-antikaon system. In this work an analysis of the decays \( {\overline{B}}_d^0\to J/\psi {\pi}^{+}{\pi}^{-} \) and \( {\overline{B}}_s^0\to J/\psi {\pi}^{+}{\pi}^{-} \) is presented. We find very good agreement with the data up to 1.05 GeV in the ππ invariant mass, with a number of parameters reduced significantly compared to a phenomenological analysis. In addition, the phases of the amplitudes are correct by construction, a crucial feature for many CP violation measurements in heavy-meson decays.
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Daub, J.T., Hanhart, C. & Kubis, B. A model-independent analysis of final-state interactions in \( {\overline{B}}_{d/s}^0\to J/\psi \pi \pi \) . J. High Energ. Phys. 2016, 9 (2016). https://doi.org/10.1007/JHEP02(2016)009
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DOI: https://doi.org/10.1007/JHEP02(2016)009