6533b859fe1ef96bd12b787f

RESEARCH PRODUCT

Two-photon exchange correction in elastic unpolarized electron-proton scattering at small momentum transfer

Oleksandr TomalakOleksandr TomalakMarc Vanderhaeghen

subject

PhysicsRange (particle radiation)Nuclear TheoryProton010308 nuclear & particles physicsScatteringMomentum transferCompton scatteringFOS: Physical sciencesElectronInelastic scattering01 natural sciencesNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Two-photon excitation microscopy0103 physical sciencesAtomic physics010306 general physics

description

We evaluate the two-photon exchange (TPE) correction to the unpolarized elastic electron-proton scattering at small momentum transfer $ Q^2 $. We account for the inelastic intermediate states approximating the double virtual Compton scattering by the unpolarized forward virtual Compton scattering. The unpolarized proton structure functions are used as input for the numerical evaluation of the inelastic contribution. Our calculation reproduces the leading terms in the $ Q^2 $ expansion of the TPE correction and goes beyond this approximation by keeping the full $ Q^2 $ dependence of the proton structure functions. In the range of small momentum transfer, our result is in good agreement with the empirical TPE fit to existing data.

https://doi.org/10.1103/physrevd.93.013023