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Using e^+ e^- collision data collected at the BESIII detector at center-of-mass energies between 4. 128 and 4. 226 GeV, corresponding to an integrated luminosity of 7. 33~ fb^-1, we determine the absolute branching fractions of fifteen hadronic Dₛ^+ decays with a double-tag technique. In particular, we make precise measurements of the branching fractions B (Dₛ^+ K^+ K^- ^+) = (5. 49 0. 04 0. 07) \%, B (Dₛ^+ KS⁰ K^+) = (1. 50 0. 01 0. 01) \% and B (Dₛ^+ K^+ K^- ^+ ⁰) = (5. 50 0. 05 0. 11) \%, where the first uncertainties are statistical and the second ones are systematic. The CP asymmetries in these decays are also measured and all are found to be compatible with zero.
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