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Amplitude analysis of the B+ -> pi(+)pi(+)pi(-) decay
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The results of an amplitude analysis of the charmless three-body decay B+→π+π+π−, in which CP-violation effects are taken into account, are reported. The analysis is based on a data sample corresponding to an integrated luminosity of 3 fb−1 of pp collisions recorded with the LHCb detector. The most challenging aspect of the analysis is the description of the behavior of the π+π− 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 ρ(770)0, ω(782) and ρ(1450)0 resonances in the π+π− P-wave, the f2(1270) resonance in the π+π− D-wave, and the ρ3(1690)0 resonance in the π+π− F-wave. Significant CP-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 CP-violation effects in B+→π+π+π− decays.
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ALFONSO ALBERO, Alejandro, et al. Amplitude analysis of the B+ -> pi(+)pi(+)pi(-) decay. Physical Review D. 2020. Vol. 101, num. 012006. ISSN 2470-0010. [consulted: 20 of August of 2026]. Available at: https://hdl.handle.net/2445/174766