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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) , Alexander, M, Alfonso Albero, A, Alkhazov, G, Cartelle, P Alvarez, Alves, AA Jr, Amato, S, Amerio, S, Amhis, Y, An, L, Anderlini, L, Andreassi, G, Andreotti, M, Andrews, JE, Archilli, F, d'Argent, P, Romeu, J Arnau, Artamonov, A, Artuso, M, Arzymatov, K, Aslanides, E, Atzeni, M, Audurier, B, Bachmann, S, Back, JJ, Baker, S, Balagura, V, Baldini, W, Baranov, A, Barlow, RJ, Barrand, GC, Barsuk, S, Barter, W, Bartolini, M, Baryshnikov, F, Batozskaya, V, Batsukh, B, Battig, A, Battista, V, Bay, A, Beddow, J, Bedeschi, F, Bediaga, I, Beiter, A, Bel, LJ, Belin, S, Beliy, N, Bellee, V, Belloli, N, Belous, K, Belyaev, I, Ben-Haim, E, Bencivenni, G, Benson, S, Beranek, S, Berezhnoy, A, Bernet, R, Berninghoff, D, Bertholet, E, Bertolin, A, Betancourt, C, Betti, F, Bettler, MO, van Beuzekom, M, Bezshyiko, Ia, Bhasin, S, Bhom, J, Bifani, S, Billoir, P, Birnkraut, A, Bizzeti, A, Bjorn, M, Blago, MP, Blake, T, Blanc, F, Blusk, S, Bobulska, D, Bocci, V, Boente Garcia, O, Boettcher, T, Bondar, A, Bondar, N, Borghi, S, Borisyak, M, Borsato, M, Bossu, F, Boubdir, M, Bowcock, TJV 
ORCID: 0000-0002-3505-6915, Bozzi, C, Braun, S, Brodski, M, Brodzicka, J, Gonzalo, A Brossa, Brundu, D, Buchanan, E, Buonaura, A, Burr, C, Bursche, A, Buytaert, J, Byczynski, W, Cadeddu, S, Cai, H, Calabrese, R, Calladine, R, Calvi, M, Calvo Gomez, M, Camboni, A, Campana, P, Perez, DH Campora, Capriotti, L, Carbone, A, Carboni, G, Cardinale, R, Cardini, A, Carniti, P, Carson, L, Carvalho Akiba, K, Casse, G ORCID: 0000-0002-8516-237X, Cassina, L, Cattaneo, M, Cavallero, G, Cenci, R, Chamont, D, Chapman, MG, Charles, M, Charpentier, Ph, Chatzikonstantinidis, G, Chefdeville, M, Chekalina, V, Chen, C, Chen, S, Chitic, S-G, Chobanova, V, Chrzaszcz, M, Chubykin, A, Ciambrone, P, Cid Vidal, X, Ciezarek, G, Cindolo, F, Clarke, PEL, Clemencic, M, Cliff, HV, Closier, J, Coco, V, Coelho, JAB, Cogan, J, Cogneras, E, Cojocariu, L, Collins, P, Colombo, T, Comerma-Montells, A, Contu, A, Coombs, G, Coquereau, S, Corti, G, Corvo, M, Sobral, CM Costa, Couturier, B, Cowan, GA, Craik, DC, Crocombe, A, Cruz Torres, M, Currie, R, D'Ambrosio, C, Da Cunha Marinho, F, Da Silva, CL, Dall'Occo, E, Dalseno, J, Danilina, A, Davis, A, Francisco, O De Aguiar, De Bruyn, K, De Capua, S, De Cian, M, De Miranda, JM, De Paula, L, De Serio, M, De Simone, P, Dean, CT, Decamp, D, Del Buono, L, Delaney, B, Dembinski, H-P, Demmer, M, Dendek, A, Derkach, D, Deschamps, O, Desse, F, Dettori, F, Dey, B, Di Canto, A, Di Nezza, P, Didenko, S, Dijkstra, H, Dordei, F, Dorigo, M, Dosil Suarez, A, Douglas, L, Dovbnya, A, Dreimanis, K, Dufour, L, Dujany, G, Durante, P, Durham, JM, Dutta, D, Dzhelyadin, R, Dziewiecki, M, Dziurda, A, Dzyuba, A, Easo, S, Egede, U, Egorychev, V, Eidelman, S, Eisenhardt, S, Eitschberger, U, Ekelhof, R, Eklund, L, Ely, S, Ene, A, Escher, S, Esen, S, Evans, T, Falabella, A, Farley, N, Farry, S ORCID: 0000-0001-5119-9740, Fazzini, D, Federici, L, Declara, P Fernandez, Fernandez Prieto, A, Ferrari, F, Lopes, L Ferreira, Ferreira Rodrigues, F, Ferro-Luzzi, M, Filippov, S, Fini, RA, Fiorini, M, Firlej, M, Fitzpatrick, C, Fiutowski, T, Fleuret, F, Fontana, M, Fontanelli, F, Forty, R, Lima, V Franco ORCID: 0000-0002-3761-209X, Frank, M, Frei, C, Fu, J, Funk, W, Farber, C, Feo, M, Gabriel, E, Gallas Torreira, A, Galli, D, Gallorini, S, Gambetta, S, Gan, Y, Gandelman, M, Gandini, P, Gao, Y, Garcia Martin, LM, Garcia Plana, B, Garcia Pardinas, J, Tico, J Garra, Garrido, L, Gascon, D, Gaspar, C, Gavardi, L, Gazzoni, G, Gerick, D, Gersabeck, E, Gersabeck, M, Gershon, T, Gerstel, D, Ghez, Ph, Gibson, V, Girard, OG, Gironella Gironell, P, Giubega, L, Gizdov, K, Gligorov, VV, Golubkov, D, Golutvin, A, Gomes, A, Gorelov, IV, Gotti, C, Govorkova, E, Grabowski, JP, Graciani Diaz, R, Cardoso, LA Granado, Grauges, E, Graverini, E, Graziani, G, Grecu, A, Greim, R, Griffith, P, Grillo, L, Gruber, L, Cazon, BR Gruberg, Gu, C, Gushchin, E, Guth, A, Guz, Yu, Gys, T, Gobel, C, Hadavizadeh, T, Hadjivasiliou, C, Haefeli, G, Haen, C, Haines, SC, Hamilton, B, Han, X, Hancock, TH, Hansmann-Menzemer, S, Harnew, N, Harnew, ST, Harrison, T, Hasse, C, Hatch, M, He, J, Hecker, M, Heinicke, K, Heister, A, Hennessy, K ORCID: 0000-0002-1529-8087, Henry, L, van Herwijnen, E, Heuel, J, Hess, M, Hicheur, A, Charman, R Hidalgo, Hill, D, Hilton, M, Hopchev, PH, Hu, J, Hu, W, Huang, W, Huard, ZC, Hulsbergen, W, Humair, T, Hushchyn, M, Hutchcroft, D ORCID: 0000-0002-4174-6509, Hynds, D, Ibis, P, Idzik, M, Ilten, P, Inyakin, A, Ivshin, K, Jacobsson, R, Jalocha, J, Jans, E, Jashal, BK, Jawahery, A, Jiang, F, John, M, Johnson, D, Jones, CR, Joram, C, Jost, B, Jurik, N, Kandybei, S, Karacson, M, Kariuki, JM, Karodia, S, Kazeev, N, Kecke, M, Keizer, F, Kelsey, M, Kenzie, M, Ketel, T, Khairullin, E, Khanji, B, Khurewathanakul, C, Kim, KE, Kirn, T, Klaver, S, Klimaszewski, K, Klimkovich, T, Koliiev, S, Kolpin, M, Kopecna, R, Koppenburg, P, Kostiuk, I, Kotriakhova, S, Kozeiha, M, Kravchuk, L, Kreps, M, Kress, F, Krokovny, P, Krupa, W, Krzemien, W, Kucewicz, W, Kucharczyk, M, Kudryavtsev, V, Kuonen, AK, Kvaratskheliya, T, Lacarrere, D, Lafferty, G, Lai, A, Lancierini, D, Lanfranchi, G, Langenbruch, C, Latham, T, Lazzeroni, C, Le Gac, R, Leflat, A, Lefrancois, J, Lefevre, R, Lemaitre, F, Leroy, O, Lesiak, T, Leverington, B, Li, P-R, Li, Y, Li, Z, Liang, X, Likhomanenko, T, Lindner, R, Lionetto, F, Lisovskyi, V, Liu, G, Liu, X, Loh, D, Loi, A, Longstaff, I, Lopes, JH, Lovell, GH, Lucchesi, D, Lucio Martinez, M, Lupato, A, Luppi, E, Lupton, O, Lusiani, A, Lyu, X, Machefert, F, Maciuc, F, Macko, V, Mackowiak, P, Maddrell-Mander, S, Maev, O, Magalhaes, PC, Maguire, K, Maisuzenko, D, Majewski, MW, Malde, S, Malecki, B, Malinin, A, Maltsev, T, Manca, G, Mancinelli, G, Marangotto, D, Maratas, J, Marchand, JF, Marconi, U, Benito, C Marin, Marinangeli, M, Marino, P, Marks, J, Marshall, PJ, Martellotti, G, Martin, M, Martinelli, M, Martinez Santos, D, Martinez Vidal, F, Massafferri, A, Materok, M, Matev, R, Mathad, A, Mathe, Z, Matteuzzi, C, Mauri, A, Maurice, E, 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(2020)
Amplitude analysis of the <i>B</i><SUP>+</SUP> → π<SUP>+</SUP>π<SUP>+</SUP>π<SUP>-</SUP> 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.
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