A model-independent analysis of final-state interactions in B¯d/s0→J/ψππ$$ {\overline{B}}_{d/s}^0\to J/\psi \pi \pi $$

J. Daub,C. Hanhart,B. Kubis

Published 2015 in Journal of High Energy Physics

ABSTRACT

A bstractExploiting 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 B¯d0→J/ψπ+π−$$ {\overline{B}}_d^0\to J/\psi {\pi}^{+}{\pi}^{-} $$ and B¯s0→J/ψπ+π−$$ {\overline{B}}_s^0\to J/\psi {\pi}^{+}{\pi}^{-} $$ 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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