# Amplitude analysis of the B+ -> pi(+)pi(+)pi(-) decay

Aaij, R, Beteta, C Abellan, Adeva, B, Adinolfi, M, Aidala, CA, Ajaltouni, Z, Akar, S, Albicocco, P, Albrecht, J, Alessio, F
et al (show 840 more authors) (2020) Amplitude analysis of the B+ -> pi(+)pi(+)pi(-) decay. PHYSICAL REVIEW D, 101 (1). 012006-.

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## Abstract

The results of an amplitude analysis of the charmless three-body decay $B^+ \rightarrow \pi^+\pi^+\pi^-$, in which $C\!P$-violation effects are taken into account, are reported. The analysis is based on a data sample corresponding to an integrated luminosity of $3 \text{fb}^{-1}$ of $pp$ collisions recorded with the LHCb detector. The most challenging aspect of the analysis is the description of the behaviour of the $\pi^+ \pi^-$ S-wave contribution, which is achieved by using three complementary approaches based on the isobar model, the K-matrix formalism, and a quasi-model-independent procedure. Additional resonant contributions for all three methods are described using a common isobar model, and include the $\rho(770)^0$, $\omega(782)$ and $\rho(1450)^0$ resonances in the $\pi^+\pi^-$ P-wave, the $f_2(1270)$ resonance in the $\pi^+\pi^-$ D-wave, and the $\rho_3(1690)^0$ resonance in the $\pi^+\pi^-$ F-wave. Significant $C\!P$-violation effects are observed in both S- and D-waves, as well as in the interference between the S- and P-waves. The results from all three approaches agree and provide new insight into the dynamics and the origin of $C\!P$-violation effects in $B^+ \rightarrow \pi^+\pi^+\pi^-$ decays.

Item Type: Article All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2019-017.html (LHCb public pages) hep-ex, hep-ex Symplectic Admin 05 May 2020 15:54 18 Jan 2023 23:52 10.1103/PhysRevD.101.012006 https://journals.aps.org/prd/pdf/10.1103/PhysRevD.... https://livrepository.liverpool.ac.uk/id/eprint/3086097