Influence of kaonic resonances on the CP violation in B→K*γ like processes

We consider CP violating effects in decays of the type B→kiγ→Kπγ, K*πγ and Kργ, where ki represents a strange meson resonance. We include in our calculations five of the low-lying resonances with quantum numbers (JP) 1-, 1+ and 2+. At the quark level these decays are driven by the penguin graph as well as tree graphs. CP violation arises in the Standard Model due to the difference in the CKM phase between these graphs. We model the final state interaction of the hadronic system using the low lying ki resonances. Bound state effects are incorporated by using ideas based on the model of Grinstein et al. and also in another bound state model (somewhat similar to the model of Wirbel et al.) which we construct designed to take into account relativistic effects better. In these models we find that radiative decays of B mesons give rise to four of the five kaonic resonances at about 1 to 7% of the inclusive b→sγ rate. Furthermore, in both bound state models we find that the probability of formation of the other three higher resonances is roughly the same as that of K*(892), which was recently seen at CLEO. In addition to the partial rate asymmetry which arises due to interference between resonances of the same quantum numbers, we show how interference between resonances of the same parity, and also between resonances of the opposite parity, result in two different types of energy asymmetries. CP differential asymmetries at the level of a few percent seem possible. We thus obtain CP violating distributions which may be observed in a sample of about 109 B± mesons. For concreteness in this paper we deal with only charged B's, neutral B's will be dealt with separately. ((orig.))