# Amplitude analysis of $B^{-} \to D^{+} \pi^{-} \pi^{-}$ decays

Abstract : The Dalitz plot analysis technique is used to study the resonant substructures of $B^{-} \to D^{+} \pi^{-} \pi^{-}$ decays in a data sample corresponding to 3.0 ${\rm fb}^{-1}$ 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 $D^{+}\pi^{-}$ mass. The data are fitted with an amplitude model composed of a quasi-model-independent function to describe the $D^{+}\pi^{-}$ 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 $B^{-} \to D^{+} \pi^{-} \pi^{-}$ decays. The $D^{+}\pi^{-}$ 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.
Type de document :
Article dans une revue
Physical Review D, American Physical Society, 2016, 94, pp.072001 〈10.1103/PhysRevD.94.072001〉

http://hal.in2p3.fr/in2p3-01351559
Contributeur : Danielle Cristofol <>
Soumis le : jeudi 4 août 2016 - 08:16:23
Dernière modification le : jeudi 18 janvier 2018 - 01:50:38

### Citation

R. Aaij, B. Adeva, M. Adinolfi, Z. Ajaltouni, S. Akar, et al.. Amplitude analysis of $B^{-} \to D^{+} \pi^{-} \pi^{-}$ decays. Physical Review D, American Physical Society, 2016, 94, pp.072001 〈10.1103/PhysRevD.94.072001〉. 〈in2p3-01351559〉

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