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In this work, 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. Inaddition, we present a revised version of the table of coefficients oftime-dependent terms in the angular decay distribution with precisely definedquantities.

New physics search via CP observables in $B_s^0 \rightarrow \phi \phi$ decay with Chromomagnetic operators