New extraction of the elastic scattering cross-section ratio <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:mrow></mml:msub></mml:math> at high <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math>
I. A. Qattan
Abstract
In this work, I present new extractions of the positron-proton to electron-proton elastic scattering cross-sections ratio ${R}_{{e}^{+}{e}^{\ensuremath{-}}}(\ensuremath{\varepsilon},{Q}^{2})$ at high ${Q}^{2}$ covering the range 5.994 $\ensuremath{\le}{Q}^{2}\ensuremath{\le} 15.721\phantom{\rule{0.28em}{0ex}}{(\mathrm{GeV}/c)}^{2}$ following two approaches. I also present an estimate of the size of the hard-TPE correction to ${\ensuremath{\sigma}}_{R}$ at high ${Q}^{2}$, along with the uncertainties associated with the model dependence of the extractions. My results on ${R}_{{e}^{+}{e}^{\ensuremath{-}}}$, based on the two approaches used, are in generally very good quantitative agreement with each other. Because world data on the ratio ${R}_{{e}^{+}{e}^{\ensuremath{-}}}$ are only available for ${Q}^{2}<2.1\phantom{\rule{0.28em}{0ex}}{(\mathrm{GeV}/c)}^{2}$, below where the discrepancy on the proton's form factors ratio ${\ensuremath{\mu}}_{p}{R}_{p}={\ensuremath{\mu}}_{p}{G}_{E}/{G}_{M}$ is significant, my results provide new predictions for ${R}_{{e}^{+}{e}^{\ensuremath{-}}}(\ensuremath{\varepsilon},{Q}^{2})$ at such a high-${Q}^{2}$ range, which is yet to be measured.