Phenomenological reexamination of two-photon-exchange corrections to the proton recoil-polarization ratio μpGE/GM utilizing electron-proton elastic scattering experimental data

In this work, we have phenomenologically reexamined the ε dependence of the proton's recoil-polarization ratio R=μₚGE/GM for possible two-photon-exchange (TPE) corrections beyond the one-photon-exchange (OPE) or Born approximation. High-precision Rosenbluth measurements of σR(ε,Q²) taken at Q²=2.64, 3.20, and 4.104pt0exGeV² were used to extract the TPE coefficients needed to provide an estimate of the size of the TPE corrections to the ratio R, and construct the two TPE Y(M,E)(ε,Q²) amplitudes. Our results suggest that the ratio R shows very small (negligible) enhancement with ε, less than 0.40% in magnitude, with values consistent with the OPE prediction for the Q² range studied. We also compare our results to previous phenomenological extractions and several theoretical calculations.