Amplitude analysis ofB−→D+π−π−decays
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Abstract
The Dalitz plot analysis technique is used to study the resonant substructures of B - D - -decays in a data sample corresponding to 3.0 fb -1 of pp collision data recorded by the LHCb experiment during 2011 and 2012. A model-independent analysis of the angular moments demonstrates the presence of resonances with spins 1, 2 and 3 at high D -mass. The data are fitted with an amplitude model composed of a quasi-model-independent function to describe the D -S wave together with virtual contributions from the D 2007 0 and B 0 states, and components corresponding to the D 2 2460 0 , D 1 2680 0 , D 3 2760 0 and D 2 3000 0 resonances. The masses and widths of these resonances are determined together with the branching fractions for their production in B - D - -decays. The D -S wave has phase motion consistent with that expected due to the presence of the D 0 2400 0 state. These results constitute the first observations of the D 3 2760 0 and D 2 3000 0 resonances, with significances of 10 and 6.6, respectively.
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