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Free keywords:
High Energy Physics - Experiment, hep-ex
MPINP:
LHCb - Abteilung Hofmann
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.
