In this work, we investigate the time-dependent angular analysis of decay to search for new physics signals via CP-violating observables. We work with a new physics Hamiltonian containing both left- and right-handed Chromomagnetic dipole operators. The hierarchy of the helicity amplitudes in this model gives us a new scheme of experimental search, which is different from the ones LHCb has used in its analysis. To illustrate this new scheme, we perform a sensitivity study using two pseudo datasets generated using LHCb's measured values. We find the sensitivity of CP-violating observables to be of the order of with the current LHCb statistics. Moreover, we show that Belle(II)'s and LHCb's measurements could be coupled within our model to obtain the chirality of the new physics.