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

TL;DR

This paper performs a detailed amplitude analysis of B- decays to D+ pi- pi- using LHCb data, identifying multiple resonances and measuring their properties, including first observations of two new states.

Contribution

It introduces a comprehensive amplitude model for B- to D+ pi- pi- decays, including novel observations of the D*3(2760)0 and D*2(3000)0 resonances.

Findings

First observation of D*3(2760)0 resonance.

First observation of D*2(3000)0 resonance.

Measured masses and widths of multiple D* resonances.

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.