Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
Four Pion Final States with Tagged Photons at Electron Positron Colliders
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abstract
A Monte Carlo generator has been constructed to simulate the reaction e^+e^- \to \gamma + 4 \pi, where the photon is assumed to be observed in the detector. Only initial state radiation is considered. Additional collinear photon radiation has been incorporated with the technique of structure functions. Predictions are presented for cms energies of 1GeV, 3GeV and 10GeV, corresponding to the energies of DAPHNE, BEBC and of B-meson factories. The event rates are sufficiently high to allow for a precise measurement of R(Q^2) in the region of Q between approximately 1GeV and 2.5GeV. For the construction of the program we employ isospin relations between the amplitudes governing tau decays into four pions and electron positron annihilation into four pions. Estimates of the kinematic breaking of these isospin relations as a consequence of the \pi^- -- \pi^0 mass difference are given.
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hep-ph 3representative citing papers
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.
citing papers explorer
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Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
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Lepton anomalous magnetic moments: Theory
The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.
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The anomalous magnetic moment of the muon in the Standard Model
The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.