Precision Measurement of the Hadronic Contribution to the Muon Anomalous Magnetic Moment

Xiao, T. ; Dobbs, S. ; Tomaradze, A. ; et al.
Phys.Rev.D 97 (2018) 032012, 2018.
Inspire Record 1643020 DOI 10.17182/hepdata.130772

We report on a precision measurement of the cross section for the reaction $e^+e^-\to\pi^+\pi^-$ in the mass range $0.30<M_{\pi\pi}<1.00$ GeV with the initial state radiation (ISR) method, using 817 pb$^{-1}$ of data at $e^+e^-$ center-of-mass energies near 3.77 GeV and 586 pb$^{-1}$ of data at $e^+e^-$ center-of-mass energies near 4.17 GeV, collected with the CLEO-c detector at the CESR $e^+e^-$ collider at Cornell University. The integrated cross sections in the range $0.30<M_{\pi\pi}<1.00$ GeV for the process $e^+e^-\to\pi^+\pi^-$ are determined with a statistical uncertainty of $0.7\%$ and a systematic uncertainty of $1.5\%$. The leading-order hadronic contribution to the muon anomalous magnetic moment calculated using these measured $e^+e^-\to\pi^+\pi^-$ cross sections in the range $M_{\pi\pi}=0.30$ to 1.00 GeV is calculated to be $(500.4\pm3.6 (\mathrm{stat})\pm 7.5(\mathrm{syst}))\times10^{-10}$.

1 data table

Born cross section of $e^+e^-\rightarrow h^+h^-$


Version 2
Electromagnetic Pion Form-Factor in the Timelike Region

Barkov, L.M. ; Chilingarov, A.G. ; Eidelman, S.I. ; et al.
Nucl.Phys.B 256 (1985) 365-384, 1985.
Inspire Record 221309 DOI 10.17182/hepdata.6886

The pion electromagnetic form factor has been measured at the VEPP-2M collider in the c.m. energy range 360 MeV–1400 MeV with the detectors OLYA and CMD. On the basis of all available data for the pion form factor collected in the timelike region, the following values for ρ-meson parameters were obtained: m ρ = 775.9 ± 1.1 MeV, σ ρ = 150.5 ± 3.0 MeV. The ω-meson branching ratio into π + π − pair, electromagnetic radius of the pion, ππ scattering length in the P-wave and the strong interaction contribution to the muon ( g − 2) value were found to be B ωππ = (2.3 ± 0.4)%, 〈 r π 2 〉 = 0.422 ± 0.013 fm 2 , a 1 1 = 0.033 ± 0.033m π −3 , a H = (68.4 ± 1.1) × 10 −9 .

4 data tables

No description provided.

Experimental data from the OLYA detector

No description provided.

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Version 2
Pion Form-factor Measurement in the Reaction $e^+ e^- \to \pi^+ \pi^-$ for Energies Within the Range From 0.4-{GeV} to 0.46-{GeV}

Vasserman, I.B. ; Ivanov, P.M. ; Kezerashvili, G.Ya. ; et al.
Yad.Fiz. 33 (1981) 709-714, 1981.
Inspire Record 167191 DOI 10.17182/hepdata.18823

None

1 data table

Measured value of the total E+ E- --> PI+ PI- cross section


Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range

Aul'chenko, V.M. ; Akhmetshin, R.R. ; Banzarov, V.Sh. ; et al.
JETP Lett. 84 (2006) 413-417, 2006.
Inspire Record 728191 DOI 10.17182/hepdata.41786

The cross section of the process e+e- -> pi+pi- has been measured at the CMD-2 detector in the 370-520 MeV center-of-mass (c.m.) energy range. A systematic uncertainty of the measurement is 0.7 %. Using all CMD-2 data on the pion form factor, the pion electromagnetic radius was calculated. The cross section of muon pair production was also determined.

3 data tables

The measured Born muon pair production cross section. Errors are statistical only.

The measured pion form factor. The errors are statistical only.

The measured bare PI+ PI- production cross section. This is corrected for radiative effects but excludes a correction for vacuum polarization effects. The errors are statistical only.


Study of the process e+ e- --> pi+ pi- in the energy region 400-MeV < s**(1/2) < 1000-MeV.

Achasov, M.N. ; Beloborodov, K.I. ; Berdyugin, A.V. ; et al.
J.Exp.Theor.Phys. 101 (2005) 1053-1070, 2005.
Inspire Record 686349 DOI 10.17182/hepdata.41873

The cross section of the process e^+e^-\to \pi^+\pi^- was measured in the SND experiment at the VEPP-2M collider in the energy region 400<\sqrt[]{s}<1000 MeV. This measurement was based on about 12.4 \times 10^6 selected collinear events, which include 7.4\times 10^6 e^+e^-\to e^+e^-, 4.5\times 10^6 e^+e^-\to\pi^+\pi^- and 0.5\times 10^6 e^+e^-\to\mu^+\mu^- selected events. The systematic uncertainty of the cross section determination is 1.3 %. The \rho-meson parameters were determined: m_\rho=774.9\pm 0.4\pm 0.5 MeV, \Gamma_\rho=146.5\pm 0.8\pm 1.5 MeV, \sigma(\rho\to\pi^+\pi^-)=1220\pm 7\pm 16 nb as well as the parameters of the G-parity suppressed decay \omega\to\pi^+\pi^-: \sigma(\omega\to\pi^+\pi^-)=29.9\pm 1.4\pm 1.0 nb and \phi_{\rho\omega} = 113.5\pm 1.3\pm 1.7 degree.

3 data tables

Cross section taking into account the radiative corrections due to the initial and final state radiation.

Cross section and form factor after the radiative corrections have been undressed.

Undressed cross without vacuum polarization but with the final state radiation.


Measurement of the Pion Form-factor in the Timelike Region for $q^2$ Values Between .1-{GeV}/$c^2$ and .18-{GeV}/$c^2$

Amendolia, S.R. ; Badelek, B. ; Batignani, G. ; et al.
Phys.Lett.B 138 (1984) 454-458, 1984.
Inspire Record 195944 DOI 10.17182/hepdata.30572

The EM form factor of the pion has been studied in the time-like region by measuring σ (e + e − → π + π − ) normalized to σ (e + e − → μ + μ − ). Results have been obtained for q 2 down to the physical threshold.

1 data table

No description provided.


MEASUREMENT OF THE PION FORM-FACTOR NEAR THE THRESHOLD OF THE REACTION e+ e- ---> pi+ pi- WITH A TIME-OF-FLIGHT DETECTOR

Vasserman, I.B. ; Ivanov, P.M. ; Kezerashvili, G.Ya. ; et al.
SLAC-TRANS-0196, 1981.
Inspire Record 164524 DOI 10.17182/hepdata.37120

None

1 data table

RADIATIVE CORRECTIONS APPLIED.


MEASUREMENT OF PION FORM-FACTOR IN E+ E- ---> PI+ PI- REACTION NEAR PRODUCTION THRESHOLD. (IN RUSSIAN)

Vasserman, I.B. ; Kurdadze, L.M. ; Sidorov, V.A. ; et al.
Sov.J.Nucl.Phys. 30 (1979) 519, 1979.
Inspire Record 148297 DOI 10.17182/hepdata.18997

None

1 data table

RADIATIVE CORRECTIONS APPLIED.