Abstract
The decays B 0 d → D − d D + d and B 0 s → D − s D + s probe the CP-violating mixing phases ϕ d and ϕ s , respectively. The theoretical uncertainty of the corresponding determinations is limited by contributions from penguin topologies, which can be included with the help of the U-spin symmetry of the strong interaction. We analyse the currently available data for B 0d,s → D −d,s D +d,s decays and those with similar dynamics to constrain the involved non-perturbative parameters. Using further information from semileptonic B 0 d → D − d ℓ + ν ℓ decays, we perform a test of the factorisation approximation and take non-factorisable SU(3)-breaking corrections into account. The branching ratios of the B 0 d → D − d D + d , B 0 s → D − s D + d and B 0 s → D − s D + s , B 0 d → D − d D + s decays show an interesting pattern which can be accommodated through significantly enhanced exchange and penguin annihilation topologies. This feature is also supported by data for the B 0 s → D − d D + d channel. Moreover, there are indications of potentially enhanced penguin contributions in the B 0 d → D − d D + d and B 0 s → D − s D + s decays, which would make it mandatory to control these effects in the future measurements of ϕ d and ϕ s . We discuss scenarios for high-precision measurements in the era of Belle II and the LHCb upgrade.
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Bel, L., De Bruyn, K., Fleischer, R. et al. Anatomy of \( B\to D\overline{D} \) decays. J. High Energ. Phys. 2015, 108 (2015). https://doi.org/10.1007/JHEP07(2015)108
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DOI: https://doi.org/10.1007/JHEP07(2015)108