In pursuit of new physics with Bd 0→J/ΨK0 and Bs 0→J/Ψφ decays at the high-precision frontier

The decays B-d(0) -> J/psi K-S(0) and B-s(0) -> J/psi phi play a key role for the determination of the B-q(0) -B-q(0) (q = d, s) mixing phases phi(d) and phi(s), respectively. The theoretical precision of the extraction of these quantities is limited by doubly Cabibbo-suppressed penguin topologies, which can be included through control channels by means of the SU(3) flavour symmetry of strong interactions. Using the currently available data and a new simultaneous analysis, we discuss the state-of-the-art picture of these effects and include them in the extracted phi(q) values. We have a critical look at the standard model predictions of these phases and explore the room left for new physics. Considering future scenarios for the high-precision era of flavour physics, we illustrate that we may obtain signals for physics beyond the standard model with a significance well above five standard deviations. We also determine effective colour-suppression factors of B-d(0) -> J/psi K-0, B-s(0) -> J/psi K-S(0) and B-d(0) -> J/psi pi(0) decays, which serve as benchmarks for QCD calculations of the underlying decay dynamics, and present a new method using information from semileptonic B-d(0) -> pi(-) l(+) nu(l) and B-s(0) -> K- l(+) nu(l) decays