Abstract
The cross section of the process e+e− → π+π− has been measured in the Spherical Neutral Detector (SND) experiment at the VEPP-2000 e+e− collider VEPP-2000 in the energy region 525 < \( \sqrt{s} \) < 883 MeV. The measurement is based on data with an integrated luminosity of about 4.6 pb−1. The systematic uncertainty of the cross section determination is 0.8% at \( \sqrt{s} \) > 0.600 GeV. The ρ meson parameters are obtained as mρ = 775.3 ± 0.5 ± 0.6 MeV, Γρ = 145.6 ± 0.6 ± 0.8 MeV, Bρ→e+e− × Bρ→π+π− = (4.89 ± 0.02 ± 0.04) × 10−5, and the parameters of the e+e− → ω → π+π− process, suppressed by G-parity, as Bω→e+e− × Bω→π+π− = (1.32 ± 0.06 ± 0.02) × 10−6 and and ϕρω = 110.7 ± 1.5 ± 1.0 degrees.
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References
M.N. Achasov et al., Spherical neutral detector for VEPP-2M collider, Nucl. Instrum. Meth. A 449 (2000) 125 [hep-ex/9909015] [INSPIRE].
M.N. Achasov et al., Spherical Neutral Detector for experiments at VEPP-2000 e+e− collider, in proceedings of International Workshop on ee collisions from Phi to Psi, Novosibirsk Russia (2011) [Nucl. Phys. B Proc. Suppl. 225-227 (2012) 66] [INSPIRE].
D.E. Berkaev et al., Electron-positron collider VEPP-2000. First experiments, Zh. Eksp. Teor. Fiz. 140 (2011) 247.
I. Logashenko et al., The Measurement of the Anomalous Magnetic Moment of the Muon at Fermilab, J. Phys. Chem. Ref. Data 44 (2015) 031211.
I.B. Logashenko et al., Measurement of the hadronic cross sections at Novosibirsk, n proceedings of International Conference Dark Matter, Hadron Physics and Fusion Physics, Messina Italy (2014) [EPJ Web Conf. 96 (2015) 01022] [INSPIRE].
N.N. Achasov and A.A. Kozhevnikov, Electromagnetic form factor of pion in the field theory inspired approach, Phys. Rev. D 83 (2011) 113005 [Erratum ibid. 85 (2012) 019901] [arXiv:1104.4225] [INSPIRE].
J.E. Augustin et al., Study of Electron-Positron Annihilation into π+π− at 775 MeV with the Orsay Storage Ring, Phys. Rev. Lett. 20 (1968) 126 [INSPIRE].
J.E. Augustin et al., π+π− production in e+e− collisions and ρ − ω interference, in proceedings of 4th Rencontres de Moriond: Les Interactions Électromagnétiques, Moriond France (1969) [Lett. Nuovo Cim. 2 (1969) 214].
J.E. Augustin et al., Study of electron-positron annihilation into π+π− on the ρ-neutral resonance, Phys. Lett. B 28 (1969) 508 [INSPIRE].
V.L. Auslander, G.I. Budker, J.N. Pestov, V.A. Sidorov, A.N. Skrinsky and A.G. Khabakhpashev, Investigation of the ϱ-meson resonance with electron-positron colliding beams, Phys. Lett. B 25 (1967) 433 [INSPIRE].
V.L. Auslander et al., Investigation of the rho-meson resonance with electron-positron colliding beams, Yad. Fiz. 9 (1969) 114 [Sov. J. Nucl. Phys. 9 (1969) 69]
D. Benaksas et al., π+π− production by e+e− annihilation in the rho energy range with the Orsay storage ring, Phys. Lett. B 39 (1972) 289 [INSPIRE].
A. Quenzer et al., Pion Form-Factor from 480 MeV to 1100 MeV, Phys. Lett. B 76 (1978) 512 [INSPIRE].
I.B. Vasserman et al., Pion Form-Factor Measurement from e+e− → π+π− Near Threshold by electron-Positron Colliding Beams, Yad. Fiz. 28 (1978) 968 [INSPIRE].
A.D. Bukin et al., Pion Form-Factor Measurement by e+e− → π+π− in the Energy Range 2 e from 0.78 GeV Up to 1.34 GeV, Phys. Lett. B 73 (1978) 226 [INSPIRE].
I.B. Vasserman et al., Measurement of pion form-factor in e+e− → π+π− reaction near production threshold (in Russian), Yad. Fiz. 30 (1979) 999 [Sov. J. Nucl. Phys. 30 (1979) 519] [INSPIRE].
I.B. Vasserman et al., Pion Form-factor Measurement in the Reaction e+e− → π+π− for Energies Within the Range From 0.4 GeV to 0.46 GeV, Yad. Fiz. 33 (1981) 709 [Sov. J. Nucl. Phys. 33 (1981) 368]. [INSPIRE].
L.M. Kurdadze et al., Measurement of the pion form factor at 640 ≤ \( \sqrt{s} \) ≤ 1400 MeV, JETP Lett. 37 (1983) 733 [Pisma Zh. Eksp. Teor. Fiz. 37 (1983) 613] [INSPIRE].
L.M. Kurdadze et al., Study Of The Reaction e+e− → π+π− In The Energy Range From 640-mev - 1400-mev, Yad. Fiz. 40 (1984) 451 [Sov. J. Nucl. Phys. 40 (1984) 286] [INSPIRE].
S.R. Amendolia et al., Measurement of the pion form-factor in the timelike region for q2 values between 0.1 (GeV/c)2 and 0.18 (GeV/c)2 , Phys. Lett. B 138 (1984) 454 [INSPIRE].
L.M. Barkov et al., Electromagnetic Pion Form-Factor in the Timelike Region, Nucl. Phys. B 256 (1985) 365 [INSPIRE].
CMD-2 collaboration, Measurement of e+e− → π+π− cross-section with CMD-2 around rho meson, Phys. Lett. B 527 (2002) 161 [hep-ex/0112031] [INSPIRE].
CMD-2 collaboration, Update: A reanalysis of hadronic cross section measurements at CMD-2, Phys. Lett. B 578 (2004) 285 [hep-ex/0308008] [INSPIRE].
KLOE collaboration, Measurement of σ(e+e− → π+π−γ) and extraction of σ(e+e− → π+π−) below 1 GeV with the KLOE detector, Phys. Lett. B 606 (2005) 12 [hep-ex/0407048] [INSPIRE].
M.N. Achasov et al., Study of the process e+e− → π+π− in the energy region 400 < \( \sqrt{s} \) < 1000 MeV, J. Exp. Theor. Phys. 101 (2005) 1053 [hep-ex/0506076] [INSPIRE].
M.N. Achasov et al., Update of the e+e− → π+π− cross section measured by the spherical neutral detector in the energy region 400 < \( \sqrt{s} \) < 1000 MeV, J. Exp. Theor. Phys. 103 (2006) 380 [hep-ex/0605013] [INSPIRE].
V.M. Aul’chenko et al., Measurement of the e+e− → π+π− cross section with the CMD-2 detector in the 370–520-MeV c.m. energy range, JETP Lett. 84 (2006) 413 [Pisma Zh. Eksp. Teor. Fiz. 84 (2006) 491] [hep-ex/0610016] [INSPIRE].
CMD-2 collaboration, High-statistics measurement of the pion form factor in the rho-meson energy range with the CMD-2 detector, Phys. Lett. B 648 (2007) 28 [hep-ex/0610021] [INSPIRE].
KLOE collaboration, Measurement of σ(e+e− → π+π−γ(γ) and the dipion contribution to the muon anomaly with the KLOE detector, Phys. Lett. B 670 (2009) 285 [arXiv:0809.3950] [INSPIRE].
KLOE collaboration, Measurement of σ(e+e− → π+π−) from threshold to 0.85 GeV2 using Initial State Radiation with the KLOE detector, Phys. Lett. B 700 (2011) 102 [arXiv:1006.5313] [INSPIRE].
KLOE-2 collaboration, Measurement of the running of the fine structure constant below 1 GeV with the KLOE Detector, Phys. Lett. B 767 (2017) 485 [arXiv:1609.06631] [INSPIRE].
BaBar collaboration, Precise measurement of the e+e− → π+π−γ cross section with the Initial State Radiation method at BABAR, Phys. Rev. Lett. 103 (2009) 231801 [arXiv:0908.3589] [INSPIRE].
BaBar collaboration, Precise Measurement of the e+e− → π+π−γ Cross Section with the Initial-State Radiation Method at BABAR, Phys. Rev. D 86 (2012) 032013 [arXiv:1205.2228] [INSPIRE].
BESIII collaboration, Measurement of the e+e− → π+π− cross section between 600 and 900 MeV using initial state radiation, Phys. Lett. B 753 (2016) 629 [Erratum ibid. 812 (2021) 135982] [arXiv:1507.08188] [INSPIRE].
A.Yu. Barnyakov et al., Testing aerogel Cherenkov counters with n = 1.05 using electrons and muons, Prib. Tekh. Eksp. 1 (2015) 37 [Instrum. Exp. Tech. 58 (2015) 30].
E.V. Abakumova et al., A system of beam energy measurement based on the Compton backscattered laser photons for the VEPP-2000 electron–positron collider, Nucl. Instrum. Meth. A 744 (2014) 35 [arXiv:1310.7764] [INSPIRE].
E.V. Abakumova et al., Backscattering of Laser Radiation on Ultrarelativistic Electrons in a Transverse Magnetic Field: Evidence of MeV-Scale Photon Interference, Phys. Rev. Lett. 110 (2013) 140402 [arXiv:1211.0103] [INSPIRE].
GEANT4 collaboration, GEANT4 — a simulation toolkit, Nucl. Instrum. Meth. A 506 (2003) 250 [INSPIRE].
J. Allison et al., Geant4 developments and applications, IEEE Trans. Nucl. Sci. 53 (2006) 270 [INSPIRE].
G.V. Fedotovich and A.I. Sibidanov, Monte Carlo generator with radiative corrections for the e+e− → e+e−, μ+μ− and π+π− processes at low energies, Nuc. Phys. B Proc. Suppl. 131 (2004) 9
A.B. Arbuzov, G.V. Fedotovich, E.A. Kuraev, N.P. Merenkov, V.D. Rushai and L. Trentadue, Large angle QED processes at e+e− colliders at energies below 3 GeV, JHEP 10 (1997) 001 [hep-ph/9702262] [INSPIRE].
A.B. Arbuzov, V.A. Astakhov, A.V. Fedorov, G.V. Fedotovich, E.A. Kuraev and N.P. Merenkov, Radiative corrections for pion and kaon production at e+e− colliders of energies below 2 GeV, JHEP 10 (1997) 006 [hep-ph/9703456] [INSPIRE].
M.N. Achasov, K.I. Beloborodov and A.S. Kupich, Separation of e+e− → e+e− and e+e− → π+π− events using SND detector calorimeter, 2017 JINST 12 T01002 [arXiv:1611.07729] [INSPIRE].
CMD-3 collaboration, Search for the process e+e− → η′958 with the CMD-3 detector, Phys. Lett. B 740 (2015) 273 [arXiv:1409.1664] [INSPIRE].
M.N. Achasov et al., Study of the process e+e− → π+π−π0 in the energy region \( \sqrt{s} \) below 0.98 GeV, Phys. Rev. D 68 (2003) 052006 [hep-ex/0305049] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
K. Hagiwara, R. Liao, A.D. Martin, D. Nomura and T. Teubner, (g − 2)μ and \( \alpha \left({M}_Z^2\right) \) re-evaluated using new precise data, J. Phys. G 38 (2011) 085003 [arXiv:1105.3149] [INSPIRE].
F. Ignatov, https://cmd.inp.nsk.su/∼ignatov/vpl/.
J. Schwinger, Particles, Sources and Fields. Vol. II, Advanced Book Program, Addison-Wesley Publishing Company, Reading U.S.A. (1973).
KLOE-2 collaboration, Combination of KLOE σ(e+e− → π+π−γ(γ)) measurements and determination of \( {a}_{\mu}^{\pi^{+}{\pi}^{-}} \) in the energy range 0.10 < s < 0.95 GeV2, JHEP 03 (2018) 173 [arXiv:1711.03085] [INSPIRE].
KLOE collaboration, Study of the decay ϕ → π+π−π0 with the KLOE detector, Phys. Lett. B 561 (2003) 55 [Erratum ibid. 609 (2005) 449] [hep-ex/0303016] [INSPIRE].
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SND collaboration., Achasov, M.N., Baykov, A.A. et al. Measurement of the e+e− → π+π− process cross section with the SND detector at the VEPP-2000 collider in the energy region 0.525 < \( \sqrt{s} \) < 0.883 GeV. J. High Energ. Phys. 2021, 113 (2021). https://doi.org/10.1007/JHEP01(2021)113
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DOI: https://doi.org/10.1007/JHEP01(2021)113