Revealing new physics in B_s⁰ D_s^? K decays

The B-s(0) -> D-s(-/+) K-+/- system offers a determination of the Unitarity Triangle angle gamma. Intrigued by an LHCb analysis showing a surprisingly large result in tension with information on the Unitarity Triangle and other gamma measurements, we make a transparent study of the measured observables, confirming the LHCb picture. The corresponding gamma puzzle at the 3 sigma level would require CP-violating contributions of New Physics, which should also manifest themselves in the corresponding decay branching ratios. Indeed, we find that the rates of the individual B-s(0) -> D-s(-/+) K-+/- channels show puzzling patterns, in accordance with similar decays, with tensions up to 4.8 sigma, thereby making the situation much more exciting. We present a formalism to include New-Physics effects in a model-independent way and apply it to the data to constrain the corresponding parameters. Interestingly, new contributions of moderate size could accommodate the data. Utilising this formalism in the future high-precision B physics era may allow us to finally establish new sources of CP violation.