Anatomy of B -> D<(D)over bar> decays

L. Bel, K. De Bruyn, R. Fleischer, M. Mulder, N. Tuning

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

The decays B<inf>d</inf>0 → D<inf>d</inf>D<inf>d</inf>+ and B<inf>s</inf>0 → D<inf>s</inf>D<inf>s</inf>+ probe the CP-violating mixing phases ϕ<inf>d</inf> and ϕ<inf>s</inf>, 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<inf>d,s</inf>0 → D<inf>d,s</inf>D<inf>d,s</inf>+ decays and those with similar dynamics to constrain the involved non-perturbative parameters. Using further information from semileptonic B<inf>d</inf>0 → D<inf>d</inf>ℓ + ν<inf>ℓ</inf> 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<inf>d</inf>0 → D<inf>d</inf>D<inf>d</inf>+, B<inf>s</inf>0 → D<inf>s</inf>D<inf>d</inf>+ and B<inf>s</inf>0 → D<inf>s</inf>D<inf>s</inf>+, B<inf>d</inf>0 → D<inf>d</inf>D<inf>s</inf>+ 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<inf>s</inf>0 → D<inf>d</inf>D<inf>d</inf>+ channel. Moreover, there are indications of potentially enhanced penguin contributions in the B<inf>d</inf>0 → D<inf>d</inf>D<inf>d</inf>+ and B<inf>s</inf>0 → D<inf>s</inf>D<inf>s</inf>+ decays, which would make it mandatory to control these effects in the future measurements of ϕ<inf>d</inf> and ϕ<inf>s</inf>. We discuss scenarios for high-precision measurements in the era of Belle II and the LHCb upgrade.
Original languageEnglish
Pages (from-to)108
JournalJournal of High Energy Physics
Volume7
DOIs
Publication statusPublished - 2015

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