Precise Measurement of the e+ e- --> pi+ pi- (gamma) Cross Section with the Initial-State Radiation Method at BABAR

Abstract

A precise measurement of the cross section of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ from threshold to an energy of 3GeV is obtained with the initial-state radiation (ISR) method using 232fb${}^{-1}$ of data collected with the BaBar detector at $e^{+}{e}^{-}$ center-of-mass energies near 10.6GeV. The ISR luminosity is determined from a study of the leptonic process $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}(\gamma ){\gamma }_{\mathrm{ISR}}$, which is found to agree with the next-to-leading-order QED prediction to within 1.1%. The cross section for the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ is obtained with a systematic uncertainty of 0.5% in the dominant $\rho$ resonance region. The leading-order hadronic contribution to the muon magnetic anomaly calculated using the measured $\pi \pi$ cross section from threshold to 1.8GeV is $(514.1\pm 2.2(\mathrm{stat})\pm 3.1(\mathrm{syst}))\times 10^{-10}$.

58 pages, 56 figures, to be submitted to Phys. Rev. D

References in corpus (8)

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• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of sigma(e+ e- -> pi+ pi-) from threshold to 0.85 GeV^2 using Initial State Radiation with the KLOE detector
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• The hadronic contribution to (g-2) of the muon
• Long-distance radiative corrections to the di-pion tau lepton decay
• The width difference of rho vector mesons
• Model-dependent radiative corrections to tau- -> pi- pi0 nu revisited

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