Measurement of the integrated luminosity of data samples collected during 2019-2022 by the Belle II experiment

A series of data samples was collected with the Belle~II detector at the SuperKEKB collider from March 2019 to June 2022. We determine the integrated luminosities of these data samples using three distinct methodologies involving Bhabha (e⁺e⁻ → e⁺e⁻(nγ)), digamma (e⁺e⁻ → γγ(nγ)), and dimuon (e⁺e⁻ → μ⁺ μ⁻ (nγ)) events. The total integrated luminosity obtained with Bhabha, digamma, and dimuon events is ({426.88} ± 0.03 ± {2.61})~fb⁻¹, ({429.28} ± 0.03 ± {2.62})~fb⁻¹, and ({423.99} ± 0.04 ± {3.83})~fb⁻¹, where the first uncertainties are statistical and the second are systematic. The resulting total integrated luminosity obtained from the combination of the three methods is ({427.87 ± 2.01})~fb⁻¹.