A measurement of the decay time dependent CP-violating asymmetry in $B_s^0 \to \phi\phiT$-odd triple-product asymmetries. In this decay channel, the CP-violating weak phase arises from the interference between - mixing and the loop-induced decay amplitude. Using a sample of proton-proton collision data corresponding to an integrated luminosity of collected with the LHCb detector, a signal yield of approximately 4000 decays is obtained. The CP-violating phase is measured to be ${\phi_s =-0.17\pm0.15\pm0.03}$ rad. The triple-product asymmetries are measured to be and . Results are consistent with the hypothesis of CP conservation.

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