Exploring image decays in the presence of a sizable width difference image Original Research Article

The image decays allow a theoretically clean determination of image, where image is the image mixing phase and γ the usual angle of the unitarity triangle. A sizable image decay width difference image was recently established, which leads to subtleties in analyses of the image branching ratios but also offers new “untagged” observables, which do not require a distinction between initially present image or image mesons. We clarify these effects and address recent measurements of the ratio of the image, image branching ratios. In anticipation of future LHCb analyses, we apply the image flavour symmetry of strong interactions to convert the B-factory data for image, image decays into predictions of the image observables, and discuss strategies for the extraction of image, with a special focus on untagged observables and the resolution of discrete ambiguities. Using our theoretical predictions as a guideline, we make simulations to estimate experimental sensitivities, and extrapolate to the end of the planned LHCb upgrade. We find that the interplay between the untagged observables, which are accessible thanks to the sizable image, and the mixing-induced CP asymmetries, which require tagging, will play the key role for the experimental determination of image.