Exploring CP Violation and Penguin Effects through $B^0_d \to D^+ D^-$ and $B^0_s \to D^+_s D^-_s$

Abstract

The decay $B^0_d \to D^+ D^-$ offers an interesting probe of CP violation, but requires control of penguin effects, which can be done through $B^0_s \to D^+_s D^-_s$ by means of the $U$-spin flavour symmetry of strong interactions. Recently, the Belle collaboration reported indications of large CP violation in the $B^0_d$ decay, which were, however, not confirmed by BaBar, and first signals of the $B^0_s$ channel were observed at the Tevatron. In view of these developments and the quickly approaching start of the LHC, we explore the allowed region in observable space for CP violation in $B^0_d \to D^+ D^-$, perform theoretical estimates of the relevant hadronic penguin parameters and observables, and address questions both about the most promising strategies for the extraction of CP-violating phases and about the interplay with other measurements of CP violation and the search for new physics. As far as the latter aspect is concerned, we point out that the $B^0_{q} \to D_{q}^+ D^-_{q}$ system provides a setting for the determination of the $B^0_q$-$\bar B^0_q$ mixing phases ($q\in\{d,s\}$) that is complementary to the conventional $B^0_d\to J/\psi K_S$ and $B^0_s\to J/\psi \phi$ modes with respect to possible new-physics effects in the electroweak penguin sector.