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The proton electric and magnetic form factors, $G_E$ and $G_M$, areintrinsically connected to the spatial distribution of charge and magnetizationin the proton. For decades, Rosenbluth separation measurements of the angulardependence of elastic e$^-$-p scattering were used to extract $G_E$ and $G_M$.More recently, polarized electron scattering measurements, aiming to improvethe precision of $G_E$ extractions, showed significant disagreement withRosenbluth measurements at large momentum transfers ($Q^2$). This discrepancyis generally attributed to neglected two-photon exchange (TPE) corrections.  At larger $Q^2$ values, a new `Super-Rosenbluth' technique was used toimprove the precision of the Rosenbluth extraction, allowing for a betterquantification of the discrepancy, while comparisons of e$^+$-p and e$^-$-pscattering indicated the presence of TPE corrections, but at $Q^2$ values belowwhere a clear discrepancy is observed. In this work, we demonstrate thesignificant benefits to combining the Super-Rosenbluth technique with positronbeam measurements. This approach provides a greater kinematic reach and isinsensitive to some of the key systematic uncertainties in previous positronmeasurements.

A measurement of two-photon exchange in Super-Rosenbluth separations with positron beams