학술논문

Amplitude analysis of the $B^+ \rightarrow \pi^+\pi^+\pi^-$ decay
Document Type
Working Paper
Author
LHCb collaborationAaij, R.Beteta, C. AbellánAdeva, B.Adinolfi, M.Aidala, C. A.Ajaltouni, Z.Akar, S.Albicocco, P.Albrecht, J.Alessio, F.Alexander, M.Albero, A. AlfonsoAlkhazov, G.Cartelle, P. AlvarezAlves Jr, A. A.Amato, S.Amhis, Y.An, L.Anderlini, L.Andreassi, G.Andreotti, M.Andrews, J. E.Archilli, F.Romeu, J. ArnauArtamonov, A.Artuso, M.Arzymatov, K.Aslanides, E.Atzeni, M.Audurier, B.Bachmann, S.Back, J. J.Baker, S.Balagura, V.Baldini, W.Baranov, A.Barlow, R. J.Barsuk, S.Barter, W.Bartolini, M.Baryshnikov, F.Batozskaya, V.Batsukh, B.Battig, A.Battista, V.Bay, A.Bedeschi, F.Bediaga, I.Beiter, A.Bel, L. J.Belavin, V.Belin, S.Beliy, N.Bellee, V.Belous, K.Belyaev, I.Bencivenni, G.Ben-Haim, E.Benson, S.Beranek, S.Berezhnoy, A.Bernet, R.Berninghoff, D.Bertholet, E.Bertolin, A.Betancourt, C.Betti, F.Bettler, M. O.Bezshyiko, Ia.Bhasin, S.Bhom, J.Bieker, M. S.Bifani, S.Billoir, P.Birnkraut, A.Bizzeti, A.Bjørn, M.Blago, M. P.Blake, T.Blanc, F.Blusk, S.Bobulska, D.Bocci, V.Garcia, O. BoenteBoettcher, T.Boldyrev, A.Bondar, A.Bondar, N.Borghi, S.Borisyak, M.Borsato, M.Boubdir, M.Bowcock, T. J. V.Bozzi, C.Braun, S.Rodriguez, A. BreaBrodski, M.Brodzicka, J.Gonzalo, A. BrossaBrundu, D.Buchanan, E.Buonaura, A.Burr, C.Bursche, A.Butter, J. S.Buytaert, J.Byczynski, W.Cadeddu, S.Cai, H.Calabrese, R.Cali, S.Calladine, R.Calvi, M.Gomez, M. CalvoMagalhaes, P. CamargoCamboni, A.Campana, P.Perez, D. H. CamporaCapriotti, L.Carbone, A.Carboni, G.Cardinale, R.Cardini, A.Carniti, P.Akiba, K. CarvalhoVidal, A. CasaisCasse, G.Cattaneo, M.Cavallero, G.Cenci, R.Chapman, M. G.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.Vidal, X. CidCiezarek, G.Cindolo, F.Clarke, P. E. L.Clemencic, M.Cliff, H. V.Closier, J.Cobbledick, J. L.Coco, V.Coelho, J. A. B.Cogan, J.Cogneras, E.Cojocariu, L.Collins, P.Colombo, T.Comerma-Montells, A.Contu, A.Coombs, G.Coquereau, S.Corti, G.Sobral, C. M. CostaCouturier, B.Cowan, G. A.Craik, D. C.Crocombe, A.Torres, M. CruzCurrie, R.Da Silva, C. L.Dall'Occo, E.Dalseno, J.D'Ambrosio, C.Danilina, A.d'Argent, P.Davis, A.Francisco, O. De AguiarDe Bruyn, K.De Capua, S.De Cian, M.De Miranda, J. M.De Paula, L.De Serio, M.De Simone, P.de Vries, J. A.Dean, C. T.Dean, W.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.Reis, A. C. dosSuárez, A. DosilDouglas, L.Dovbnya, A.Dreimanis, K.Dufour, L.Dujany, G.Durante, P.Durham, J. M.Dutta, D.Dzhelyadin, R.Dziewiecki, M.Dziurda, A.Dzyuba, A.Easo, S.Egede, U.Egorychev, V.Eidelman, S.Eisenhardt, S.Eitschberger, U.Ekelhof, R.Ek-In, S.Eklund, L.Ely, S.Ene, A.Escher, S.Esen, S.Evans, T.Falabella, A.Färber, C.Farley, N.Farry, S.Fazzini, D.Féo, M.Declara, P. FernandezPrieto, A. FernandezFerrari, F.Lopes, L. FerreiraRodrigues, F. FerreiraSole, S. FerreresFerro-Luzzi, M.Filippov, S.Fini, R. A.Fiorini, M.Firlej, M.Fitzpatrick, C.Fiutowski, T.Fleuret, F.Fontana, M.Fontanelli, F.Forty, R.Lima, V. FrancoSevilla, M. FrancoFrank, M.Frei, C.Fu, J.Funk, W.Gabriel, E.Torreira, A. GallasGalli, D.Gallorini, S.Gambetta, S.Gan, Y.Gandelman, M.Gandini, P.Gao, Y.Martin, L. M. GarciaPardiñas, J. GarcíaPlana, B. GarciaTico, J. GarraGarrido, L.Gascon, D.Gaspar, C.Gazzoni, G.Gerick, D.Gersabeck, E.Gersabeck, M.Gershon, T.Gerstel, D.Ghez, Ph.Gibson, V.Gioventù, A.Girard, O. G.Gironell, P. GironellaGiubega, L.Gizdov, K.Gligorov, V. V.Göbel, C.Golubkov, D.Golutvin, A.Gomes, A.Gorelov, I. V.Gotti, C.Govorkova, E.Grabowski, J. P.Diaz, R. GracianiCardoso, L. A. GranadoGraugés, E.Graverini, E.Graziani, G.Grecu, A.Greim, R.Griffith, P.Grillo, L.Gruber, L.Cazon, B. R. GrubergGu, C.Gushchin, E.Guth, A.Guz, Yu.Gys, T.Hadavizadeh, T.Hadjivasiliou, C.Haefeli, G.Haen, C.Haines, S. C.Hamilton, P. M.Han, Q.Han, X.Hancock, T. H.Hansmann-Menzemer, S.Harnew, N.Harrison, T.Hasse, C.Hatch, M.He, J.Hecker, M.Heijhoff, K.Heinicke, K.Heister, A.Hennessy, K.Henry, L.Heß, M.Heuel, J.Hicheur, A.Charman, R. HidalgoHill, D.Hilton, M.Hopchev, P. H.Hu, J.Hu, W.Huang, W.Huard, Z. C.Hulsbergen, W.Humair, T.Hushchyn, M.Hutchcroft, D.Hynds, D.Ibis, P.Idzik, M.Ilten, P.Inglessi, A.Inyakin, A.Ivshin, K.Jacobsson, R.Jakobsen, S.Jalocha, J.Jans, E.Jashal, B. K.Jawahery, A.Jiang, F.John, M.Johnson, D.Jones, C. R.Joram, C.Jost, B.Jurik, N.Kandybei, S.Karacson, M.Kariuki, J. M.Karodia, S.Kazeev, N.Kecke, M.Keizer, F.Kelsey, M.Kenzie, M.Ketel, T.Khanji, B.Kharisova, A.Khurewathanakul, C.Kim, K. E.Kirn, T.Kirsebom, V. S.Klaver, S.Klimaszewski, K.Koliiev, S.Kolpin, M.Kondybayeva, A.Konoplyannikov, A.Kopciewicz, P.Kopecna, R.Koppenburg, P.Kostiuk, I.Kot, O.Kotriakhova, S.Kozeiha, M.Kravchuk, L.Kreps, M.Kress, F.Kretzschmar, S.Krokovny, P.Krupa, W.Krzemien, W.Kucewicz, W.Kucharczyk, M.Kudryavtsev, V.Kunde, G. J.Kuonen, A. K.Kvaratskheliya, T.Lacarrere, D.Lafferty, G.Lai, A.Lancierini, D.Lanfranchi, G.Langenbruch, C.Latham, T.Lazzeroni, C.Gac, R. LeLefèvre, R.Leflat, A.Lemaitre, F.Leroy, O.Lesiak, T.Leverington, B.Li, H.Li, P. -R.Li, X.Li, Y.Li, Z.Liang, X.Likhomanenko, T.Lindner, R.Lionetto, F.Lisovskyi, V.Liu, G.Liu, X.Loh, D.Loi, A.Castro, J. LombaLongstaff, I.Lopes, J. H.Loustau, G.Lovell, G. H.Lucchesi, D.Martinez, M. LucioLuo, Y.Lupato, A.Luppi, E.Lupton, O.Lusiani, A.Lyu, X.Machefert, F.Maciuc, F.Macko, V.Mackowiak, P.Maddrell-Mander, S.Maev, O.Maevskiy, A.Maguire, K.Maisuzenko, D.Majewski, M. W.Malde, S.Malecki, B.Malinin, A.Maltsev, T.Malygina, H.Manca, G.Mancinelli, G.Marangotto, D.Maratas, J.Marchand, J. F.Marconi, U.Benito, C. MarinMarinangeli, M.Marino, P.Marks, J.Marshall, P. J.Martellotti, G.Martinazzoli, L.Martinelli, M.Santos, D. MartinezVidal, F. MartinezMassafferri, A.Materok, M.Matev, R.Mathad, A.Mathe, Z.Matiunin, V.Matteuzzi, C.Mattioli, K. R.Mauri, A.Maurice, E.Maurin, B.McCann, M.McNab, A.McNulty, R.Mead, J. V.Meadows, B.Meaux, C.Meinert, N.Melnychuk, D.Merk, M.Merli, A.Michielin, E.Milanes, D. A.Millard, E.Minard, M. -N.Mineev, O.Minzoni, L.Mitzel, D. S.Mödden, A.Mogini, A.Moise, R. D.Mombächer, T.Monroy, I. A.Monteil, S.Morandin, M.Morello, G.Morello, M. J.Moron, J.Morris, A. B.Mountain, R.Mu, H.Muheim, F.Mukherjee, M.Mulder, M.Müller, D.Müller, J.Müller, K.Müller, V.Murphy, C. H.Murray, D.Naik, P.Nakada, T.Nandakumar, R.Nandi, A.Nanut, T.Nasteva, I.Needham, M.Neri, N.Neubert, S.Neufeld, N.Newcombe, R.Nguyen, T. D.Nguyen-Mau, C.Nieswand, S.Niet, R.Nikitin, N.Nolte, N. S.Oblakowska-Mucha, A.Obraztsov, V.Ogilvy, S.O'Hanlon, D. P.Oldeman, R.Onderwater, C. J. G.Osborn, J. D.Ossowska, A.Goicochea, J. M. OtaloraOvsiannikova, T.Owen, P.Oyanguren, A.Pais, P. R.Pajero, T.Palano, A.Palutan, M.Panshin, G.Papanestis, A.Pappagallo, M.Pappalardo, L. L.Parker, W.Parkes, C.Passaleva, G.Pastore, A.Patel, M.Patrignani, C.Pearce, A.Pellegrino, A.Penso, G.Altarelli, M. PepePerazzini, S.Pereima, D.Perret, P.Pescatore, L.Petridis, K.Petrolini, A.Petrov, A.Petrucci, S.Petruzzo, M.Pietrzyk, B.Pietrzyk, G.Pikies, M.Pili, M.Pinci, D.Pinzino, J.Pisani, F.Piucci, A.Placinta, V.Playfer, S.Plews, J.Casasus, M. PloPolci, F.Lener, M. PoliPoliakova, M.Poluektov, A.Polukhina, N.Polyakov, I.Polycarpo, E.Pomery, G. J.Ponce, S.Popov, A.Popov, D.Poslavskii, S.Prasanth, K.Price, E.Prouve, C.Pugatch, V.Navarro, A. PuigPullen, H.Punzi, G.Qian, W.Qin, J.Quagliani, R.Quintana, B.Raab, N. V.Rachwal, B.Rademacker, J. H.Rama, M.Pernas, M. RamosRangel, M. S.Ratnikov, F.Raven, G.Salzgeber, M. RavonelReboud, M.Redi, F.Reichert, S.Reiss, F.Alepuz, C. RemonRen, Z.Renaudin, V.Ricciardi, S.Richards, S.Rinnert, K.Robbe, P.Robert, A.Rodrigues, A. B.Rodrigues, E.Lopez, J. A. RodriguezRoehrken, M.Roiser, S.Rollings, A.Romanovskiy, V.Vidal, A. RomeroRoth, J. D.Rotondo, M.Rudolph, M. S.Ruf, T.Vidal, J. RuizSilva, J. J. SaboridoSagidova, N.Saitta, B.Guimaraes, V. SalustinoGras, C. SanchezMayordomo, C. SanchezSedes, B. SanmartinSantacesaria, R.Rios, C. SantamarinaSantimaria, M.Santovetti, E.Sarpis, G.Sarti, A.Satriano, C.Satta, A.Saur, M.Savrina, D.Schael, S.Schellenberg, M.Schiller, M.Schindler, H.Schmelling, M.Schmelzer, T.Schmidt, B.Schneider, O.Schopper, A.Schreiner, H. F.Schubiger, M.Schulte, S.Schune, M. H.Schwemmer, R.Sciascia, B.Sciubba, A.Semennikov, A.Sepulveda, E. S.Sergi, A.Serra, N.Serrano, J.Sestini, L.Seuthe, A.Seyfert, P.Shapkin, M.Shears, T.Shekhtman, L.Shevchenko, V.Shmanin, E.Siddi, B. G.Coutinho, R. Silvade Oliveira, L. SilvaSimi, G.Simone, S.Skiba, I.Skidmore, N.Skwarnicki, T.Slater, M. W.Smeaton, J. G.Smith, E.Smith, I. T.Smith, M.Soares, M.Lavra, L. SoaresSokoloff, M. D.Soler, F. J. P.De Paula, B. SouzaSpaan, B.Norella, E. SpadaroSpradlin, P.Stagni, F.Stahl, M.Stahl, S.Stefko, P.Stefkova, S.Steinkamp, O.Stemmle, S.Stenyakin, O.Stepanova, M.Stevens, H.Stocchi, A.Stone, S.Stracka, S.Stramaglia, M. E.Straticiuc, M.Straumann, U.Strokov, S.Sun, J.Sun, L.Sun, Y.Swientek, K.Szabelski, A.Szumlak, T.Szymanski, M.Tang, Z.Tekampe, T.Tellarini, G.Teubert, F.Thomas, E.Tilley, M. J.Tisserand, V.T'Jampens, S.Tobin, M.Tolk, S.Tomassetti, L.Tonelli, D.Tou, D. Y.Tournefier, E.Traill, M.Tran, M. T.Trisovic, A.Tsaregorodtsev, A.Tuci, G.Tully, A.Tuning, N.Ukleja, A.Usachov, A.Ustyuzhanin, A.Uwer, U.Vagner, A.Vagnoni, V.Valassi, A.Valat, S.Valenti, G.van Beuzekom, M.Van Hecke, H.van Herwijnen, E.Van Hulse, C. B.van Tilburg, J.van Veghel, M.Gomez, R. VazquezRegueiro, P. VazquezSierra, C. VázquezVecchi, S.Velthuis, J. J.Veltri, M.Venkateswaran, A.Vernet, M.Veronesi, M.Vesterinen, M.Barbosa, J. V. VianaVieira, D.Diaz, M. VieitesViemann, H.Vilasis-Cardona, X.Vitkovskiy, A.Vitti, M.Volkov, V.Vollhardt, A.Bruch, D. VomVoneki, B.Vorobyev, A.Vorobyev, V.Voropaev, N.Waldi, R.Walsh, J.Wang, J.Wang, M.Wang, Y.Wang, Z.Ward, D. R.Wark, H. M.Watson, N. K.Websdale, D.Weiden, A.Weisser, C.Whitehead, M.Wilkinson, G.Wilkinson, M.Williams, I.Williams, M.Williams, M. R. J.Williams, T.Wilson, F. F.Winn, M.Wislicki, W.Witek, M.Wormser, G.Wotton, S. A.Wyllie, K.Xiang, Z.Xiao, D.Xie, Y.Xing, H.Xu, A.Xu, L.Xu, M.Xu, Q.Xu, Z.Yang, Z.Yao, Y.Yeomans, L. E.Yin, H.Yu, J.Yuan, X.Yushchenko, O.Zarebski, K. A.Zavertyaev, M.Zeng, M.Zhang, D.Zhang, L.Zhang, S.Zhang, W. C.Zhang, Y.Zhelezov, A.Zheng, Y.Zhou, Y.Zhu, X.Zhukov, V.Zonneveld, J. B.Zucchelli, S.
Source
Phys. Rev. D 101, 012006 (2020)
Subject
High Energy Physics - Experiment
Language
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.
Comment: 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)