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A.Wu, H.Wyllie, K.Xiang, Z.Xiao, D.Xie, Y.Xing, H.Xu, A.Xu, J.Xu, L.Xu, M.Xu, Q.Xu, Z.Yang, D.Yang, Y.Yang, Z.YangYao, Y.Yeomans, L. E.Yin, H.Yu, J.Yuan, X.Yushchenko, O.Zarebski, K. A.Zavertyaev, M.Zdybal, M.Zenaiev, O.Zeng, M.Zhang, D.Zhang, L.Zhang, S.Zhang, Y.Zhelezov, A.Zheng, Y.Zhou, X.Zhou, Y.Zhu, X.Zhukov, VZonneveld, J. B.Zucchelli, S.Zuliani, D.Zunica, G.2021-03-262021-03-262021-03-262020-12-2110.1007/JHEP12(2020)139https://infoscience.epfl.ch/handle/20.500.14299/176897WOS:000603062200003A 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 are<disp-formula id="Equa"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mfrac>B<mml:mfenced close=")" open="(">B+-> D+D-K+</mml:mfenced>B<mml:mfenced close=")" open="(">B+-> D<overbar></mml:mover>0D0K+</mml:mfenced></mml:mfrac>=0.5170.0150.013 +/- 0.011,</mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mfrac>B<mml:mfenced close=")" open="(">B+-> D-D+K+</mml:mfenced>B<mml:mfenced close=")" open="(">B+-> D<overbar></mml:mover>0D0K+</mml:mfenced></mml:mfrac>=0.577 +/- 0.016 +/- 0.013 +/- 0.013,</mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtable><mml:mtr><mml:mtd><mml:mfrac>B<mml:mfenced close=")" open="(">B0 -> D-D0K+</mml:mfenced>B<mml:mfenced close=")" open="(">B0 -> D-D0K+</mml:mfenced></mml:mfrac>=1.754 +/- 0.028 +/- 0.016 +/- 0.035,</mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mfrac>B<mml:mfenced close=")" open="(">B+-> D+D-K+</mml:mfenced>B<mml:mfenced close=")" open="(">B+-> D-D+K+</mml:mfenced></mml:mfrac>=0.907 +/- 0.033<mml:mo>+/- 0.014<mml:mo>,</mml:mtd></mml:mtr></mml:mtable></mml:mtd></mml:mtr></mml:mtable><graphic position="anchor" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="13130_2020_14428_Article_Equa.gif"></graphic></disp-formula><p id="Par2">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.<fig id="Figa" position="anchor"><graphic position="anchor" specific-use="HTML" mime-subtype="JPEG" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MediaObjects/13130_2020_14428_Figa_HTML.jpg" id="MO1"></graphicPhysics, Particles & FieldsPhysicsb physicsbranching fractionflavor physicshadron-hadron scattering (experiments)tooltext::journal::journal article::research article