Towards new frontiers in the exploration of charmless non-leptonic B decays

Abstract

Non-leptonic B decays into charmless final states offer an important laboratory to study CP violation and the dynamics of strong interactions. Particularly interesting are Bs0 → K−K+ and Bd0 → π−π+ decays, which are related by the U-spin symmetry of strong interactions, and allow for the extraction of CP-violating phases and tests of the Standard Model. The theoretical precision is limited by U-spin-breaking corrections and innovative methods are needed in view of the impressive future experimental precision expected in the era of Belle II and the LHCb upgrade. We have recently proposed a novel method to determine the {B}_s^0-{overline{B}}_s^0 mixing phase ϕs from the Bs0 → K−K+, Bd0 → π−π+ system, where semileptonic Bs0 → K−ℓ+νℓ, Bd0 → π−ℓ+νℓ decays are a new ingredient and the theoretical situation is very favourable. We discuss this strategy in detail, with a focus on penguin contributions as well as exchange and penguin-annihilation topologies which can be probed by a variety of non-leptonic B decays into charmless final states. We show that a theoretical precision as high as mathcal{O}left(0.5{}^{circ}right) for ϕs can be attained in the future, thereby offering unprecedented prospects for the search for new sources of CP violation.