Measurement of the e^+e^- →π^+π^-π^0 cross section in the
energy range 0.62-3.50 GeV at Belle II
Belle II Collaboration,I. Adachi,L. Aggarwal,H. Aihara,N. Akopov,A. Aloisio,N. Anh Ky,D. M. Asner,H. Atmacan,V. Aushev,M. Aversano,R. Ayad,V. Babu,H. Bae,S. Bahinipati,P. Bambade,Sw. Banerjee,S. Bansal,M. Barrett,J. Baudot,A. Baur,A. Beaubien,F. Becherer,J. Becker,J. V. Bennett,F. U. Bernlochner,V. Bertacchi,M. Bertemes,E. Bertholet,M. Bessner,S. Bettarini,F. Bianchi,T. Bilka,D. Biswas,A. Bobrov,D. Bodrov,A. Bolz,A. Bondar,A. Bozek,M. Bračko,P. Branchini,T. E. Browder,A. Budano,S. Bussino,M. Campajola,L. Cao,G. Casarosa,C. Cecchi,J. Cerasoli,M. -C. Chang,P. Chang,P. Cheema,B. G. Cheon,K. Chilikin,K. Chirapatpimol,H. -E. Cho,K. Cho,S. -J. Cho,S. -K. Choi,S. Choudhury,L. Corona,F. Dattola,E. De La Cruz-Burelo,S. A. De La Motte,G. de Marino,G. De Nardo,G. De Pietro,R. de Sangro,M. Destefanis,S. Dey,R. Dhamija,A. Di Canto,F. Di Capua,J. Dingfelder,Z. Doležal,T. V. Dong,M. Dorigo,K. Dort,S. Dreyer,S. Dubey,K. Dugic,G. Dujany,P. Ecker,D. Epifanov,P. Feichtinger,T. Ferber,D. Ferlewicz,T. Fillinger,C. Finck,G. Finocchiaro,A. Fodor,F. Forti,B. G. Fulsom,A. Gabrielli,E. Ganiev,M. Garcia-Hernandez,G. Gaudino,V. Gaur,A. Gaz,A. Gellrich,D. Ghosh,H. Ghumaryan,G. Giakoustidis,R. Giordano,A. Giri,A. Glazov,B. Gobbo,R. Godang,O. Gogota,P. Goldenzweig,W. Gradl,S. Granderath,E. Graziani,D. Greenwald,Z. Gruberová,T. Gu,Y. Guan,K. Gudkova,K. Hara,K. Hayasaka,H. Hayashii,S. Hazra,C. Hearty,M. T. Hedges,A. Heidelbach,I. Heredia de la Cruz,M. Hernández Villanueva,T. Higuchi,M. Hoek,M. Hohmann,P. Horak,C. -L. Hsu,T. Iijima,K. Inami,N. Ipsita,A. Ishikawa,R. Itoh,M. Iwasaki,W. W. Jacobs,E. -J. Jang,Q. P. Ji,S. Jia,Y. Jin,H. Junkerkalefeld,M. Kaleta,D. Kalita,A. B. Kaliyar,J. Kandra,S. Kang,G. Karyan,T. Kawasaki,F. Keil,C. Kiesling,C. -H. Kim,D. Y. Kim,K. -H. Kim,Y. -K. Kim,K. Kinoshita,P. Kodyš,T. Koga,S. Kohani,K. Kojima,A. Korobov,S. Korpar,E. Kovalenko,R. Kowalewski,T. M. G. Kraetzschmar,P. Križan,P. Krokovny,T. Kuhr,Y. Kulii,J. Kumar,K. Kumara,T. Kunigo,A. Kuzmin,Y. -J. Kwon,S. Lacaprara,K. Lalwani,T. Lam,L. Lanceri,J. S. Lange,M. Laurenza,K. Lautenbach,R. Leboucher,F. R. Le Diberder,M. J. Lee,P. Leo,D. Levit,L. K. Li,Y. Li,J. Libby,Q. Y. Liu,Y. Liu,Z. Q. Liu,D. Liventsev,S. Longo,T. Lueck,C. Lyu,M. Maggiora,S. P. Maharana,R. Maiti,S. Maity,G. Mancinelli,R. Manfredi,E. Manoni,M. Mantovano,D. Marcantonio,C. Marinas,C. Martellini,A. Martens,T. Martinov,L. Massaccesi,M. Masuda,K. Matsuoka,D. Matvienko,S. K. Maurya,F. Mawas,J. A. McKenna,R. Mehta,F. Meier,M. Merola,C. Miller,M. Mirra,S. Mitra,K. Miyabayashi,G. B. Mohanty,S. Moneta,H. -G. Moser,R. Mussa,I. Nakamura,K. R. Nakamura,M. Nakao,Y. Nakazawa,A. Narimani Charan,M. Naruki,Z. Natkaniec,A. Natochii,L. Nayak,M. Nayak,G. Nazaryan,M. Neu,C. Niebuhr,J. Ninkovic,S. Nishida,A. Novosel,S. Ogawa,Y. Onishchuk,H. Ono,P. Pakhlov,G. Pakhlova,S. Pardi,S. -H. Park,B. Paschen,A. Passeri,S. Patra,T. K. Pedlar,R. Peschke,R. Pestotnik,L. E. Piilonen,G. Pinna Angioni,T. Podobnik,S. Pokharel,C. Praz,S. Prell,E. Prencipe,M. T. Prim,I. Prudiev,H. Purwar,P. Rados,G. Raeuber,S. Raiz,N. Rauls,M. Reif,S. Reiter,I. Ripp-Baudot,G. Rizzo,J. M. Roney,A. Rostomyan,N. Rout,D. A. Sanders,S. Sandilya,L. Santelj,Y. Sato,B. Scavino,C. Schwanda,A. J. Schwartz,Y. Seino,A. Selce,K. Senyo,M. E. Sevior,C. Sfienti,W. Shan,X. D. Shi,T. Shillington,J. -G. Shiu,D. Shtol,B. Shwartz,A. Sibidanov,F. Simon,J. B. Singh,J. Skorupa,R. J. Sobie,M. Sobotzik,A. Soffer,A. Sokolov,E. Solovieva,S. Spataro,B. Spruck,M. Starič,P. Stavroulakis,S. Stefkova,R. Stroili,Y. Sue,M. Sumihama,K. Sumisawa,N. Suwonjandee,H. Svidras,M. Takizawa,U. Tamponi,K. Tanida,F. Tenchini,O. Tittel,R. Tiwary,D. Tonelli,E. Torassa,K. Trabelsi,I. Tsaklidis,I. Ueda,Y. Uematsu,T. Uglov,K. Unger,Y. Unno,K. Uno,S. Uno,Y. Ushiroda,S. E. Vahsen,R. van Tonder,K. E. Varvell,M. Veronesi,A. Vinokurova,L. Vitale,S. Wallner,E. Wang,M. -Z. Wang,A. Warburton,M. Watanabe,S. Watanuki,C. Wessel,X. P. Xu,B. D. Yabsley,S. Yamada,W. Yan,S. B. Yang,J. H. Yin,K. Yoshihara,C. Z. Yuan,F. Zeng,B. Zhang,Y. Zhang,V. Zhilich,Q. D. Zhou,V. I. Zhukova,R. Žlebčík
arxiv（2024）
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摘要
We report a measurement of the e^+e^- →π^+π^-π^0 cross section in
the energy range from 0.62 to 3.50 GeV using an initial-state radiation
technique. We use an e^+e^- data sample corresponding to 191 fb^-1
of integrated luminosity, collected at a center-of-mass energy at or near the
Υ(4S) resonance with the Belle II detector at the SuperKEKB
collider. Signal yields are extracted by fitting the two-photon mass
distribution in e^+e^- →π^+π^-π^0γ events, which involve a
π^0 →γγ decay and an energetic photon radiated from the
initial state. Signal efficiency corrections with an accuracy of 1.6
obtained from several control data samples. The uncertainty on the cross
section at the ω and ϕ resonances is dominated by the systematic
uncertainty of 2.2
range yield a_μ^3π = [48.91 ± 0.23 (stat) ±
1.07 (syst)] × 10^-10 for the leading-order hadronic vacuum
polarization contribution to the muon anomalous magnetic moment. This result
differs by 2.5 standard deviations from the most precise current
determination.
