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 $e^+e^-\rightarrow h^+h^-$


Backward scattering of positrons and electrons on protons

Bouquet, B. ; Benaksas, D. ; Grossetête, B. ; et al.
Phys.Lett.B 26 (1968) 178-180, 1968.
Inspire Record 1389620 DOI 10.17182/hepdata.29320

The ratio R = σ (e + + p)/ σ (e − + p) of the elastic scattering cross-section detecting the recoil proton at 0 o in coincidence with the backward electron or positron was found to be R = 1.036 ± 0.018 at q 2 = 8 fm −2 , R = 1.079 ± 0.046 at q 2 = 32 fm −2 .

2 data tables

Axis error includes +- 0.0/0.0 contribution (?////Errors presented are the total combined statistical and systematic error s. Radiative corrections applied).

Axis error includes +- 0.0/0.0 contribution (?////Errors presented are the total combined statistical and systematic error s. Radiative corrections applied).


Recent results on the polarization parameter in $\pi-p$ and $p-p$ elastic scattering from 6 to 12 GeV/c.

Borghini, M. ; Coignet, G. ; Dick, Louis ; et al.
(1967) 123-124, 1967.
Inspire Record 1371768 DOI 10.17182/hepdata.71256

We present the final results of a measurement of the polarization parameter P 0 in high-energy n~-p and p-p elastic scattering, performed using a target which contained polarized protons. Data were taken at beam momenta of 6.0, 8.0, 10.0 and 12.0 GeV/c for n-, and of 6.0, 10.0 and 12.0 GeV/c for n+ and p, in the interval of invariant four-momentum transfer squared-t from 0.1 to 0.75 (GeV/c)2.

11 data tables

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Cross sections for the reactions $e^+ e^-\to K_S^0 K_L^0$, $K_S^0 K_L^0 \pi^+\pi^-$, $K_S^0 K_S^0 \pi^+\pi^-$, and $K_S^0 K_S^0 K^+K^-$ from events with initial-state radiation

The BaBar collaboration Lees, J.P. ; Poireau, V. ; Tisserand, V. ; et al.
Phys.Rev.D 89 (2014) 092002, 2014.
Inspire Record 1287920 DOI 10.17182/hepdata.64506

We study the processes $e^+ e^-\to K_S^0 K_L^0 \gamma$, $K_S^0 K_L^0 \pi^+\pi^-\gamma$, $K_S^0 K_S^0 \pi^+\pi^-\gamma$, and $K_S^0 K_S^0 K^+K^-\gamma$, where the photon is radiated from the initial state, providing cross section measurements for the hadronic states over a continuum of center-of-mass energies. The results are based on 469 fb$^{-1}$ of data collected with the BaBar detector at SLAC. We observe the $\phi(1020)$ resonance in the $K_S^0 K_L^0$ final state and measure the product of its electronic width and branching fraction with about 3% uncertainty. We present a measurement of the $e^+ e^-\to K_S^0 K_L^0 $ cross section in the energy range from 1.06 to 2.2 GeV and observe the production of a resonance at 1.67 GeV. We present the first measurements of the $e^+ e^-\to K_S^0 K_L^0 \pi^+\pi^-$, $K_S^0 K_S^0 \pi^+\pi^-$, and $K_S^0 K_S^0 K^+K^-$ cross sections, and study the intermediate resonance structures. We obtain the first observations of \jpsi decay to the $K_S^0 K_L^0 \pi^+\pi^-$, $K_S^0 K_S^0 \pi^+\pi^-$, and $K_S^0 K_S^0 K^+K^-$ final states.

22 data tables

Cross section measurement for PHI(1020).

Mass measurement for PHI(1020).

Measurement of the PHI(1020) width.

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Study of e+e- --> p anti-p via initial-state radiation at BABAR

The BaBar collaboration Lees, J.P. ; Poireau, V. ; Tisserand, V. ; et al.
Phys.Rev.D 87 (2013) 092005, 2013.
Inspire Record 1217421 DOI 10.17182/hepdata.62678

The process e+e- --> p anti-p gamma is studied using 469 fb-1 of integrated luminosity collected with the BABAR detector at the PEP-II collider, at an e+e- center-of-mass energy of 10.6 GeV. From the analysis of the p anti-p invariant mass spectrum, the energy dependence of the cross section for e+e- --> p anti-p is measured from threshold to 4.5 GeV. The energy dependence of the ratio of electric and magnetic form factors, |G_E/G_M|, and the asymmetry in the proton angular distribution are measured for p anti-p masses below 3 GeV. We also measure the branching fractions for the decays J/psi --> p anti-p and psi(2S) --> p anti p.

1 data table

Measurement of the cross section as a function of the invariant mass of the PBAR-P system and the effective form factor for the reaction E+ E- --> PBAR P. The contributions from J/PSI and PSI(25) decaying to PBAR-P have been subtracted. The form factor error is the combined statistical and systematic.


$\pi$-proton scattering at 516, 616, 710, 887, and 1085 MeV

Gbaed, F. ; Montanet, L. ; Lehmann, P. ; et al.
Nuovo Cim. 22 (1961) 193-198, 1961.
Inspire Record 1187691 DOI 10.17182/hepdata.37734

We present results on .~--p seattering at kinetic energies in the laboratory of 516, 616, 710, 887 and 1085MeV. The data were obtained by exposing a liquid hydrogen bubble chamber to a pion beam from the Saelay proton synchrotron Saturne. The chamber had a diameter of 20 cm and a depth of 10 cm. There was no magnetic field. Two cameras, 15 em apart, were situated at 84 cm from the center- of the chamber. A triple quadrnpole lens looking at an internal target, and a bending magnet, defined the beam, whose momentum spread was less than 2%. The value of the momentum was measured by the wire-orbit method and by time of flight technique, and the computed momentum spread was checked by means of a Cerenkov counter. The pictures were scanned twice for all pion interactions. 0nly those events with primaries at most 3 ~ off from the mean beam direction and with vertices inside a well defined fiducial volume, were considered. All not obviously inelastic events were measured and computed by means of a Mercury Ferranti computer. The elasticity of the event was established by eoplanarity and angular correlation of the outgoing tracks. We checked that no bias was introduced for elastic events with dip angles for the scattering plane of less than 80 ~ and with cosines of the scattering angles in the C.M.S. of less than 0.95. Figs. 1 to 5 show the angular distributions for elastic scattering, for all events with dip angles for the scattering plane less than 80 ~ . The solid curves represent a best fit to the differential cross section. The ratio of charged inelastic to elastic events, was obtained by comparing the number of inelastic scatterings to the areas under the solid curves which give the number of elastic seatterings.

5 data tables

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Elastic Electron-Proton Scattering at Momentum Transfers up to 110 Fermi$^−^2$

Behrend, H.J. ; Brasse, F.W. ; Engler, J. ; et al.
Nuovo Cim.A 48 (1967) 140-164, 1967.
Inspire Record 1185336 DOI 10.17182/hepdata.1060

Using the internal beam of DESY elastic electron-proton cross-sections were measured at various angles between 32° and 130°, and with momentum transfers ofq 2=39, 60, 80 and 110 fm−2. Two single-quadrupole spectrometers, movable around a common liquid-hydrogen target, were used for analysing the momentum of the scattered electrons. Čerenkov and shower counters discriminated against pion and low-energy background. As a cross-section reference, recoil protons from elastic scattering atq 2=10 fm−2 were used, with a quantameter serving as an intermediate monitor. The data are consistent with the Rosenbluth formula, giving real form factorsG E andG M . Both continue to decrease with increasing momentum transfer, but somewhat faster than indicated by measurements performed so far.

9 data tables

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η photoproduction cross-section for incident photon energies from 800 to 1000 MeV

Bacci, C. ; Penso, G. ; Salvini, G. ; et al.
Nuovo Cim.A 45 (1966) 983-1009, 1966.
Inspire Record 1185323 DOI 10.17182/hepdata.37560

Photoproduction cross-section of the η-particle for incident photon energiesK from ∼800 to ∼1000 MeV has been measured at the 1.1 GeV Frascati electronsynchrotron. The differential cross-section for this process, at a c.m. angle of the η of ∼110°, turns out to be fairly constant for 830 MeV≤K≤900 MeV, and drops down by a factor 5 to 10 atK=950 MeV. These results are discussed in terms of a comparison with the data on the production of η's by pions, and with the data on pion-nucleon scattering and pion photoproduction. The conclusions are in agreement with the hypothesis that the η-N system is dominated at low energies by a resonance with orbital angular momentuml=0 (S 1/2,1/2 resonance).

1 data table

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Differential cross-sections for photoproduction of positive pions in hydrogen I. — low energies

Beneventano, M. ; Bernardini, G. ; Carlson-Lee, D. ; et al.
Nuovo Cim. 4 (1956) 323-356, 1956.
Inspire Record 1185320 DOI 10.17182/hepdata.37599

The cross-sections σ(Eγ,ϑ ) for the reaction pγ→ n+ have been measured near threshold as a function of photon energy and at four angles. See Table I. These results combined with previously known data, have given a fairly complete and accurate description of σ(Eγ,θ) between the limits 30°≤θ≤180° and 170≤ Eγ 270 MeV. See Table II and Pig. 2. Writing σ(Eγ,θ) = W·a0 + a1 cos θ + a2 cos2 θ× withW= ηωl +(μ/Ei)ξ −1·l + (μ/E f )ω×−1 (see formula (5)) the experimental data indicate that (Table III) a0 is constant up to about Eγ ≃ 260 MeV; and that (Table V) the three ai coefficients analyzed in terms ofS andP waves give a very small spin flippingP-amplitudeK. The presumption that theS amplitudeE 1 ismainly due to the gauge invariance requirement is definitely not consistent with the data (see Table IV). A discussion based on the Kroll and Rudermann theorem leads to the conclusion that this inconsistency may be eliminated if allowance is made for the contribution of fairly large nucleon recoils. However, it turns out that only the changing sign part of these recoils is really large and apparently so up to terms of order higher than μM. The amount of the recoil at threshold is estimated and consequently a value for the pspv interaction constant is derived.

7 data tables

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Single-$\pi^{0}$ photoproduction from hydrogen around the «Second resonance»

Bellettini, G. ; Bemporad, C. ; Biggs, P.J. ; et al.
Nuovo Cim. 44 239-252, 1966.
Inspire Record 1185321 DOI 10.17182/hepdata.37693

New results are presented on the differential cross-section for the reaction α+p→π0+p, at energies between 600 and 1000 MeV, and c.m. pion angles Θ*π=40° and Θ*π=60°. The present data, together with that at Θ*π=40° already published (11), show an angle-independent position of the second resonance at about 750 MeV. Rather flat angular distributions in the forward c.m. hemisphere are also favoured by these data. On comparing the cross-sections obtained when detecting both the neutral pion and the recoil proton, and when detecting only the latter, estimates of the background of «ghost protons» are obtained, in agreement with the empirical curve proposed in ref. (11).

1 data table

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