Measurement of branching fraction ratios for B + → D *+ D − K +, B + → D * − D + K +, and B 0 → D * − D 0 K + decays
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Abstract: A measurement of four branching-fraction ratios for three-body decays of B mesons involving two open-charm hadrons in the final state is presented. Run 1 and Run 2 pp collision data are used, recorded by the LHCb experiment at centre-of-mass energies 7, 8, and 13 TeV and corresponding to an integrated luminosity of 9 fb−1. The measured branching-fraction ratios areBB+→D∗+D−K+BB+→D¯0D0K+=0.517±0.015±0.013±0.011, BB+→D∗−D+K+BB+→D¯0D0K+=0.577±0.016±0.013±0.013, BB0→D∗−D0K+BB0→D−D0K+=1.754±0.028±0.016±0.035, BB+→D∗+D−K+BB+→D∗−D+K+=0.907±0.033±0.014, where the first of the uncertainties is statistical, the second systematic, and the third is due to the uncertainties on the D-meson branching fractions. These are the most accurate measurements of these ratios to date.