Date

Measurement of the $e^+e^- \to \pi^+\pi^-\pi^0$ cross section in the energy range 0.62-3.50 GeV at Belle II

The Belle-II collaboration Adachi, I. ; Aggarwal, L. ; Aihara, H. ; et al.
Phys.Rev.D 110 (2024) 112005, 2024.
Inspire Record 2775022 DOI 10.17182/hepdata.155340

We report a measurement of the $e^+e^- \to \pi^+\pi^-\pi^0$ 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 $\text{fb}^{-1}$ of integrated luminosity, collected at a center-of-mass energy at or near the $\Upsilon{(4S)}$ resonance with the Belle II detector at the SuperKEKB collider. Signal yields are extracted by fitting the two-photon mass distribution in $e^+e^- \to \pi^+\pi^-\pi^0\gamma$ events, which involve a $\pi^0 \to \gamma\gamma$ decay and an energetic photon radiated from the initial state. Signal efficiency corrections with an accuracy of 1.6% are obtained from several control data samples. The uncertainty on the cross section at the $\omega$ and $\phi$ resonances is dominated by the systematic uncertainty of 2.2%. The resulting cross sections in the 0.62-1.80 GeV energy range yield $ a_\mu^{3\pi} = [48.91 \pm 0.23~(\mathrm{stat}) \pm 1.07~(\mathrm{syst})] \times 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.

4 data tables match query

Energy bin range ($\sqrt{s'}$), number of events after unfolding ($N_{\mathrm{unf}}$), corrected efficiency ($\varepsilon$), and cross section ($\sigma_{3\pi}$) for $e^{+}e^{-} \to \pi^{+} \pi^{-} \pi^{0}$ in energy range 1.05--3.50~GeV. The two uncertainties in the cross section are the statistical and systematic contributions. The statistical uncertainties for the unfolding and cross section are square roots of the diagonal components of the unfolding covariance matrix. The image shows Figure 23 in the PRD paper, and the points with error bars indicate the cross section in the table.

The statistic covariance matrix for the $e^+e^- \to \pi^+ \pi^- \pi^0$ cross section measurement at the Belle II. The 212 x 212 matrix of the energy ranges from 0.62 to 3.50 GeV. This covariance matrix, obtained by propagating the covariance matrix in the unfolding procedure, shows the total statistical uncertainties for the cross section results.

The systematic covariance matrix for the $e^+e^- \to \pi^+ \pi^- \pi^0$ cross section measurement at the Belle II. The 212 x 212 matrix of the energy ranges from 0.62 to 3.50 GeV. This covariance matrix includes all systematic uncertainty given in Table I. The total covariance matrix for the measured cross section can be obtained by adding statistical and systematic covariance matrices.

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Inelastic scattering of 390 MeV $\pi^+$ mesons from protons

Grigor'ev, E.L. ; Mitin, N.A. ;
Sov.Phys.JETP 10 (1960) 1123-1124, 1960.
Inspire Record 1498642 DOI 10.17182/hepdata.75443

None

1 data table match query

No description provided.


Recoil proton polarization in elastic $\pi^−$ p scattering at 300 MeV and the phase shift analysis of pion-nucleon scattering

Vasilevsky, I.M. ; Vishnyakov, V.V. ; Ivanchenko, I.M. ; et al.
Phys.Lett. 23 (1966) 174-176, 1966.
Inspire Record 1408342 DOI 10.17182/hepdata.70432

The results of a measurement of recoil proton polarization for π−p → π−p at 300 MeV are given, and a phase shift analysis is made with the help of other data.

1 data table match query

No description provided.


Measurement of the polarization parameter P in elastic π+p scattering at 335, 370, and 410 MeV

Bekrenev, V.S. ; Beloglazov, Yu.A. ; Gaditskii, V.G. ; et al.
JETP Lett. 35 (1982) 148, 1982.
Inspire Record 1408359 DOI 10.17182/hepdata.70446

None

3 data tables match query

No description provided.

No description provided.

No description provided.


Charge-Exchange Scattering of 240-300 MeV π- Mesons on Hydrogen

Zinov, V.G. ; Korenchenko, S.M. ;
Sov.Phys.JETP 11 (1960) 1010-1015, 1960.
Inspire Record 1407581 DOI 10.17182/hepdata.70216

The results are given of the measurement of the differential cross sections of charge-exchange scattering of 240, 270, 307, and 333-Mev 1r- mesons on hydrogen.

2 data tables match query

No description provided.

No description provided.


Elastic Scattering of 240-330 MeV π- Mesons by Hydrogen

Zinov, V.G. ; Korenchenko, S.M. ;
Sov.Phys.JETP 11 (1960) 794, 1960.
Inspire Record 1407580 DOI 10.17182/hepdata.70214

Results of measurements of differential cross sections for the elastic scattering of 11'- mesons of energies 240, 270, 307 and 333 Mev by hydrogen are given.

2 data tables match query

No description provided.

No description provided.


Elastic Scattering of 300-MeV Negative Pions by Hydrogen

Vasilevskii, I.M. ; Vishnyakov, V.V. ;
Sov.Phys.JETP 11 (1960) 323-326, 1960.
Inspire Record 1407579 DOI 10.17182/hepdata.70213

The elastic scattering of 300-Mev negative pions from hydrogen was studied with the aid of a hodoscopic system with pulse-fed counters. Equation (1) gives the angular distribution for the elastic scattering under the hypothesis that the fundamental contribution to the scattering comes from the S and P waves.

1 data table match query

No description provided.


A Search For the $\rho^0$ Meson and a Check of the Dispersion Relations in π-N Scattering

Zinov, V.G. ; Konin, A.D. ; Korenchenko, S.M. ; et al.
Sov.Phys.JETP 11 (1960) 1233-1238, 1960.
Inspire Record 1407582 DOI 10.17182/hepdata.70224

The total 1r- -p interaction cross sections (of) were measured with an accuracy of 1.5-2% for about 50 pion energies between 140 and 360 Mev. The pion energy was known to within ± 1%. No anomalies in the energy dependence of Of were found which could indicate the existence of a p0meson with a mass in the range of 270 to 410 Mev/c2• The data are inconsistent with the energy value E2 = 650 Mev for the second maximum of Of found by Frisch et al. 7 but agree with the conclusion drawn by Brisson et al. 8 that it should be located at a lower energy ( E2 :::::: 610 Mev). The data are in agreement with the dispersion relations for 1r- -p scattering. It is thus demonstrated that the PuppiStanghellini problem as such no longer exists and that it arose only as a result of an inaccurate knowledge of the total 1r--p interaction cross section.

1 data table match query

No description provided.


Polarization of recoil protons from neutral pion photoproduction

Hayakawa, Satio ; Horikawa, Naoaki ; Kajikawa, Ryoichi ; et al.
J.Phys.Soc.Jap. 25 (1968) 307-318, 1968.
Inspire Record 1393542 DOI 10.17182/hepdata.38539

None

1 data table match query

No description provided.


Total cross-section measurement of $\pi^{-}$ photoproduction on deuteron in the first-resonance region.

Chiefari, G. ; Drago, E. ; Napolitano, M. ; et al.
Lett.Nuovo Cim. 13 (1975) 129-133, 1975.
Inspire Record 1393351 DOI 10.17182/hepdata.37447

None

1 data table match query

CROSS SECTION ON NEUTRON CALCULATED FROM DEUTERIUM MEASUREMENTS USING THE NUCLEON SPECTATOR MODEL.