Amplitude analysis of B- →d+π-π- decays

The Dalitz plot analysis technique is used to study the resonant substructures of B-→D+π-π- 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+π- mass. The data are fitted with an amplitude model composed of a quasi-model-independent function to describe the D+π- S wave together with virtual contributions from the D∗(2007)0 and B∗0 states, and components corresponding to the D2∗(2460)0, D1∗(2680)0, D3∗(2760)0 and D2∗(3000)0 resonances. The masses and widths of these resonances are determined together with the branching fractions for their production in B-→D+π-π- decays. The D+π- S wave has phase motion consistent with that expected due to the presence of the D0∗(2400)0 state. These results constitute the first observations of the D3∗(2760)0 and D2∗(3000)0 resonances, with significances of 10σ and 6.6σ, respectively.