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In this paper, we investigate the time-dependent angular analysis of $B_s^0\rightarrow \phi \phi$ decay to search for new physics signals via CP-violatingobservables. We work with a new physics Hamiltonian containing both left- andright-handed Chromomagnetic dipole operators. The hierarchy of the helicityamplitudes in this model gives us a new scheme of experimental search, which isdifferent from the ones LHCb has used in its analysis. To illustrate this newscheme, we perform a sensitivity study using two pseudo datasets generatedusing LHCb's measured values. We find the sensitivity of CP-violatingobservables to be of the order of $5-7\%$ with the current LHCb statistics.Moreover, we show that Belle(II)'s $B^0_d \rightarrow \phi K_s$ and LHCb's$B_s^0 \rightarrow \phi \phi$ measurements could be coupled within our model toobtain the chirality of the new physics.

New physics search via CP observables in $B^0_s \rightarrow \phi\phi$ decays with left- and right-handed Chromomagnetic operators