The slope of the time-dependent asymmetry, Δ and Δin D 0 → K + K −and D 0 → π + π − decays

Abstract

The most precise measurement of the the slope of the time-dependent asymmetry defined by the parameter (), of the decay rates of and mesons into the final states in the decays and were recently reported by LHCb collaboration with the values of and In this study, we have obtained and where constrains possible violation. The violation in the decays and have been calculated under the factorization approach. These decay modes include a current-current tree and penguin diagrams that their amplitudes are considered separately, by introducing strong and weak phases with the and parameters, respectively. We have obtained for both of decays and The asymmetries are calculated to be and at Finally, from the sum of the amplitudes, we have calculated the total amplitude and obtained comparable results with experimental values for the branching ratios of decays.