Using 7.93 fb−1 of e+e− collision data collected at the center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the absolute branching fractions of D0→K−e+νe, D0→K−μ+νμ, D+→K¯0e+νe, and D+→K¯0μ+νμ to be (3.521±0.009stat±0.016syst)%, (3.419±0.011stat±0.016syst)%, (8.864±0.039stat±0.082syst)%, and (8.665±0.046stat±0.084syst)%, respectively. By performing a simultaneous fit to the partial decay rates of these four decays, the product of the hadronic form factor f+K(0) and the modulus of the c→s Cabibbo-Kobayashi-Maskawa matrix element |Vcs| is determined to be f+K(0)|Vcs|=0.7171±0.0011stat±0.0013syst. Taking the value of |Vcs|=0.97349±0.00016 from the standard model global fit or that of f+K(0)=0.7452±0.0031 from the lattice quantum chromodynamics calculation as input, we derive the results f+K(0)=0.7366±0.0011stat±0.0013syst. and |Vcs|=0.9623±0.0015stat±0.0017syst±0.0040LQCD. Published by the American Physical Society 2024
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