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Measurement of 𝐷0−¯𝐷0 mixing and search for 𝐶𝑃 violation with 𝐷0→𝐾+𝜋− decays
A measurement of the time-dependent ratio of the 𝐷0 →𝐾+𝜋− to ¯𝐷0→𝐾+𝜋− decay rates is reported. The analysis uses a sample of proton-proton collisions corresponding to an integrated luminosity of 6 fb−1 recorded by the LHCb experiment from 2015 through 2018 at a center-of-mass energy of 13 TeV. The 𝐷0 meson is required to originate from a 𝐷*(2010)+→𝐷0𝜋+ decay, such that its flavor at production is inferred from the charge of the accompanying pion. The measurement is performed simultaneously for the 𝐾+ 𝜋− and 𝐾− 𝜋+ final states, allowing both mixing and 𝐶𝑃-violation parameters to be determined. The value of the ratio of the decay rates at production is determined to be 𝑅𝐾𝜋=(343.1±2.0)×10−5. The mixing parameters are measured to be 𝑐𝐾𝜋 =(51.4 ±3.5) ×10−4 and 𝑐′𝐾𝜋=(13±4)×10−6, where √𝑅𝐾𝜋𝑐𝐾𝜋 is the linear coefficient of the expansion of the ratio as a function of decay time in units of the 𝐷0 lifetime, and 𝑐′𝐾𝜋 is the quadratic coefficient, both averaged between the 𝐾+ 𝜋− and 𝐾− 𝜋+ final states. The precision is improved relative to the previous best measurement by approximately 60%. No evidence for 𝐶𝑃 violation is found.