New Prediction of the Positron-Proton to Electron-Proton Elastic Scattering Ratio Re+eR_{e^+e^-} from ep Elastic Scattering Data

2024
8 pages
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  • Published: 2024

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Abstract: (Springer)
I present a new extraction of the positron-proton to electron-proton elastic scattering cross sections ratio Re+e(ε,Q2)R_{e^+e^-}(\varepsilon ,Q^2). Contrary to several previous phenomenological studies and extractions, which predicted the ratio Re+eR_{e^+e^-} using model-independent parametrization of F(ε,Q2)F(\varepsilon ,Q^2), the hard two-photon exchange (TPE) correction to the electron-proton (ep) elastic scattering cross section σR\sigma _R, I do not assume prior knowledge of the functional form of F(ε,Q2)F(\varepsilon ,Q^2), but rather I use combined unpolarized, and polarized ep elastic scattering experimental data to extract the TPE contributions to σR\sigma _R, and provide a simple parametrization of F(ε,Q2)F(\varepsilon ,Q^2) along with the uncertainties associated with the model dependence of the extractions. I use the new parametrization of F(ε,Q2)F(\varepsilon ,Q^2) to predict the ratio Re+eR_{e^+e^-}, and then compare my extractions of Re+eR_{e^+e^-} to several previous phenomenological extractions, TPE-hadronic calculations, and world data emphasizing mainly the kinematics range of the recent precise direct measurements from the OLYMPUS, VEPP-3, and CLAS experiments.