Amplitude analysis of the $D^+\toπ^- π^+π^+$ decay and measurement of the $π^-π^+$ S-wave amplitude

LHCb Collaboration

doi:10.1007/JHEP06(2023)044

paper

Amplitude analysis of the $D^{+} \to π^{-} π^{+} π^{+}$ decay and measurement of the $π^{-} π^{+}$ S-wave amplitude

arXiv:2208.03300 · doi:10.1007/JHEP06(2023)044

Abstract

An amplitude analysis of the $D^{+} \to π^{-} π^{+} π^{+}$ decay is performed with a sample corresponding to $1.5 f b^{- 1}$ of integrated luminosity of $pp$ collisions at a centre-of-mass energy $s = 8$ TeV collected by the LHCb detector in 2012. The sample contains approximately six hundred thousand candidates with a signal purity of $95%$ . The resonant structure is studied through a fit to the Dalitz plot where the $π^{-} π^{+}$ S-wave amplitude is extracted as a function of $π^{-} π^{+}$ mass, and spin-1 and spin-2 resonances are included coherently through an isobar model. The S-wave component is found to be dominant, followed by the $ρ (770)^{0} π^{+}$ and $f_{2} (1270) π^{+}$ components. A small contribution from the $ω (782) \to π^{-} π^{+}$ decay is seen for the first time in the $D^{+} \to π^{-} π^{+} π^{+}$ decay.

arXiv commentAll figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2022-016.html (LHCb public pages). v3 matches published version

Amplitude analysis of the D+→π−π+π+ decay and measurement of the π−π+ S-wave amplitude

Abstract

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Amplitude analysis of the $D^{+} \to π^{-} π^{+} π^{+}$ decay and measurement of the $π^{-} π^{+}$ S-wave amplitude