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

The LHCb collaboration

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An amplitude analysis of the D + → π π + π + decay is performed with a sample corresponding to 1.5 fb −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) → π π + decay is seen for the first time in the D + → π π + π + decay. [Figure not available: see fulltext.]

Original languageEnglish
Article number44
Number of pages28
JournalJournal of High Energy Physics
Issue number6
Publication statusPublished - 9 Jun 2023


  • Charm Physics
  • Hadron-Hadron Scattering
  • Particle and Resonance Production


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