Radiative corrections to Bhabha scattering and mupair production from the hadronic vacuum polarization

doi:10.1016/0370-2693(76)90389-0

Physics Letters B

Volume 63, Issue 4, 16 August 1976, Pages 432-434

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Abstract

The known first order radiative corrections to Bhabha scattering and mupair production are extended to include the hadronic vacuum polarization. For the evaluation, the measured total cross-section for e⁺e⁻ → hadrons together with some assumptions on its high-energy behaviour is used. The results show that the inclusion of the hadronic vacuum polarization in the radiative corrections is required for precision tests of quantumelectrodynamics at high energies.

References (10)

F.A. Berends et al.
Nucl. Phys.
(1973)
F.A. Berends et al.
Nucl. Phys.
(1974)
N. Cabibbo et al.
Phys. Rev.
(1961)
D. Benaksas
Phys. Lett.
(1972)
M. Bernardini
Phys. Letters
(1974)
G.J. Feldman et al.
Physics Reports
(1975)

There are more references available in the full text version of this article.

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Direct measurements of the cross sections for e+ e- → hadrons |<inf>non- D over(D, ̄)</inf> in the range from 3.65 to 3.87 GeV and the branching fraction for ψ (3770) → non- D over(D, ̄)
2008, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
By tagging the largest energy of the assumed kaon in the final states of $e^{+} e^{-} \to hadrons$ , we measured the cross sections for $e^{+} e^{-} \to hadrons |_{non- D \bar{D}}$ in the range from 3.65 to 3.87 GeV. Analyzing these cross sections yields the branching fraction for the decay $ψ (3770) \to non- D \bar{D}$ to be $BF [ψ (3770) \to non- D \bar{D}] = (15.1 \pm 5.6 \pm 1.8) %$ , and the observed non- $D \bar{D}$ and $D \bar{D}$ cross sections to be $σ_{had-non- D \bar{D}}^{obs} = (1.08 \pm 0.40 \pm 0.15) nb$ and $σ_{D \bar{D}}^{obs} = (6.07 \pm 0.40 \pm 0.35) nb$ , respectively, at the center-of-mass energy $E_{cm} = 3.7724 GeV$ .
Precision measurements of the mass, the widths of ψ (3770) resonance and the cross section σ [e+ e- → ψ (3770)] at E<inf>cm</inf> = 3.7724 GeV
2007, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
By analyzing the R values measured at 68 energy points in the energy region between 3.650 and 3.872 GeV reported in our previous paper, we have precisely measured the mass, the total width and the leptonic width of the $ψ (3770)$ resonance to be $M_{ψ (3770)} = 3772.4 \pm 0.4 \pm 0.3 MeV$ , $Γ_{ψ (3770)}^{tot} = 28.5 \pm 1.2 \pm 0.2 MeV$ and $Γ_{ψ (3770)}^{e e} = 277 \pm 11 \pm 13 eV$ , respectively. We have measured the leptonic branching fraction of the $ψ (3770)$ decays and the $ψ (3770)$ production cross section at its peak to be $B [ψ (3770) \to e^{+} e^{-}] = (0.97 \pm 0.03 \pm 0.05) \times 10^{−5}$ and $σ^{prd} [e^{+} e^{-} \to ψ (3770)] = 10.0 \pm 0.3 \pm 0.5 nb$ , respectively. The latter one results in the corresponding observed cross section of $σ^{obs} [e^{+} e^{-} \to ψ (3770)] = 7.2 \pm 0.2 \pm 0.4 nb$ . We have also measured $R_{uds} = 2.121 \pm 0.023 \pm 0.084$ for the continuum light hadron production in the region from 3.650 to 3.872 GeV.
Study of high precision τ mass measurement at BESIII
2007, Nuclear Physics B - Proceedings Supplements
The statistical and systematic uncertainties of $m_{τ}$ measurement at the forthcoming detector BESIII are studied. Monte Carlo simulation and sampling techniques are adopted to simulate various data taking strategies, from which the optimal scheme is determined. It is found that the optimal position of data taking is located at the energy point with large cross section derivative near $τ^{+} τ^{-}$ production threshold; one point in the optimal position with luminosity of $63 {pb}^{−1}$ is sufficient for a statistical accuracy better than 0.1 MeV. In addition, if Compton backscattering technique can be used at BESIII to measure the absolute energy, the final systematic uncertainty around 0.09 MeV could be expected.
Measurements of the cross sections for e+ e- → hadrons at 3.650, 3.6648, 3.773 GeV and the branching fraction for ψ (3770) → non- D over(D, ̄)
2006, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Using the BES-II detector at the BEPC Collider, we measured the lowest order cross sections and the R values ( $R = σ_{e^{+} e^{-} \to hadrons}^{0} / σ_{e^{+} e^{-} \to μ^{+} μ^{-}}^{0}$ ) for inclusive hadronic event production at the center-of-mass energies of 3.650, 3.6648 and 3.773 GeV. The results lead to ${\bar{R}}_{u d s} = 2.218 \pm 0.019 \pm 0.089$ which is the average of these measured at 3.650 GeV and 3.6648 GeV, and $R = 3.746 \pm 0.037 \pm 0.187$ at $\sqrt{s} = 3.773 GeV$ . We determined the lowest order cross section for $ψ (3770)$ production to be $σ_{ψ (3770)}^{B} = (9.323 \pm 0.253 \pm 0.801) nb$ at 3.773 GeV, the branching fractions for $ψ (3770)$ decays to be $BF (ψ (3770) \to D^{0} {\bar{D}}^{0}) = (49.5 \pm 1.3 \pm 3.8) %$ , $BF (ψ (3770) \to D^{+} D^{-}) = (35.7 \pm 1.1 \pm 3.4) %$ and $BF (ψ (3770) \to D \bar{D}) = (85.5 \pm 1.7 \pm 5.8) %$ , which result in the total non- $D \bar{D}$ branching fraction of $ψ (3770)$ decay to be $BF (ψ (3770) \to non- D \bar{D}) = (14.5 \pm 1.7 \pm 5.8) %$ .
The interference between virtual photon and 1-- charmonium in e+e- experiment
2004, Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
e⁺e⁻ experiments producing charmonium are reviewed. It is found that the contribution of the continuum amplitude via virtual photon was neglected in almost all the experiments and the channels analyzed. It is shown that the contribution of the continuum part may affect the final results significantly in ψ(2S) and ψ(3770) decays, while the interference between continuum and resonance amplitudes may even affect the J/ψ decays as well as the ψ(2S) and ψ(3770). This should be considered in analyzing the “ρπ puzzle” between J/ψ and ψ(2S) decays, and the difference between inclusive hadron and $D D ̄$ cross sections in ψ(3770) decays.

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Physics Letters B

Abstract

References (10)

Nucl. Phys.

Nucl. Phys.

Phys. Rev.

Phys. Lett.

Phys. Letters

Physics Reports

Cited by (101)

Virtual Hadronic Corrections to Massive Bhabha Scattering

Direct measurements of the cross sections for e<sup>+</sup> e<sup>-</sup> → hadrons |<inf>non- D over(D, ̄)</inf> in the range from 3.65 to 3.87 GeV and the branching fraction for ψ (3770) → non- D over(D, ̄)

Precision measurements of the mass, the widths of ψ (3770) resonance and the cross section σ [e<sup>+</sup> e<sup>-</sup> → ψ (3770)] at E<inf>cm</inf> = 3.7724 GeV

Study of high precision τ mass measurement at BESIII

Measurements of the cross sections for e<sup>+</sup> e<sup>-</sup> → hadrons at 3.650, 3.6648, 3.773 GeV and the branching fraction for ψ (3770) → non- D over(D, ̄)

The interference between virtual photon and 1<sup>--</sup> charmonium in e<sup>+</sup>e<sup>-</sup> experiment