Review of two-photon exchange in electron scattering

We review the role of two-photon exchange (TPE) in electron–hadron scattering, focusing in particular on hadronic frameworks suitable for describing the low and moderate Q2Q2 region relevant to most experimental studies. We discuss the effects of TPE on the extraction of nucleon form factors and their role in the resolution of the proton electric to magnetic form factor ratio puzzle. The implications of TPE on various other observables, including neutron form factors, electroproduction of resonances and pions, and nuclear form factors, are summarized. Measurements seeking to directly identify TPE effects, such as through the angular dependence of polarization observables, nonlinear εε contributions to the cross sections, and via e+pe+p to e−pe−p cross section ratios, are also outlined. In the weak sector, we describe the role of TPE and γZγZ interference in parity-violating electron scattering, and assess their impact on the extraction of the strange form factors of the nucleon and the weak charge of the proton.

► We review two-photon exchange (TPE) in electron–hadron scattering. ► TPE resolves the proton electric to magnetic form factor discrepancy. ► TPE can be tested in other observables such as e+pe+p to e−pe−p ratios.► Photon-ZZ boson exchange impacts extraction of the proton weak charge.