Study of CP violation in DI ? K*(892)0? I + ?K*(892)0? I?K0S;L?0?I decays

Within the Standard Model, we investigate the CPviolations and the K0S - K0L asymmetries in DI -> K*(892)0 pi I + over bar K*(892)0 pi I -> K0S;L pi 0 pi I decays basing on the factorization-assisted topological-amplitude (FAT) approach and the topological amplitude (TA) approach of Cheng and Chiang [Phys. Rev. D 104, 073003 (2021).]. We find that the CP violations in these decays AKCP 0 can exceed the order of 10-3 in the two S;L approaches and consist of three parts: the indirect CP violations in K0 - over bar K0 mixing Amix CP;K0S;L, the direct CP violations in charm decays Adir CP;K0 S;L, and the new CPviolation effects Aint CP;K0 S;L, which are induced from the interference between two tree (Cabibbo-favored and doubly Cabibbo-suppressed) amplitudes with the neutral kaon mixing. The indirect CP violations in K0 - over bar K0 mixing play a dominant role in AK0 CP ; the new CP S;L violation effects have a non-negligible contribution to AK0 CP . We estimate the numerical results of the S;L K0S - K0L asymmetries RDI KS-KL and find that there exists a large difference between the numerical results in the FAT approach and that of the TA approach. We present the numbers of DI events-times-efficiency needed to observe the CPviolations and the K0S - K0L asymmetries at the level of 3 standard deviations (3 sigma). We also find that if one adopts the values of the decay time parameters t0 = 3.0 tau S and t1 = 10.0 tau S, the new CP violation effect Aint Swould dominate the CP violation in DI -> K*(892)0 pi I + over bar K*(892)0 pi I -> K0S pi 0 pi I CP;K0 decays and could be observed with 6.7 x 106 and 6.5 x 106 DI events-times-efficiency in the FAT approach and the TA approach, respectively. Our results could be tested by the LHCb (Large Hadron Collider beauty), Belle II, and BESIII experiments.