# Observation of Several Sources of CP Violation in B+ → π+π+π- Decays

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## Abstract

Observations are reported of different sources of $CP$ violation from an amplitude analysis of $B^+ \to \pi^+ \pi^+ \pi^-$ decays, based on a data sample corresponding to an integrated luminosity of $3 \; {\rm fb}^{-1}$ of $pp$ collisions recorded with the LHCb detector. A large $CP$ asymmetry is observed in the decay amplitude involving the tensor $f_2(1270)$ resonance, and in addition significant $CP$ violation is found in the $\pi^+ \pi^-$ S-wave at low invariant mass. The presence of $CP$ violation related to interference between the $\pi^+ \pi^-$ S-wave and the P-wave $B^+ \to \rho(770)^0 \pi^+$ amplitude is also established; this causes large local asymmetries but cancels when integrated over the phase space of the decay. The results provide both qualitative and quantitative new insights into $CP$-violation effects in hadronic $B$ decays.
Original language English 031801 Physical Review Letters 124 3 21 Jan 2020 https://doi.org/10.1103/PhysRevLett.124.031801 Published - 24 Jan 2020

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