Lepton-Proton Two-Photon Exchange in Chiral Perturbation Theory

Abstract

We use heavy baryon chiral perturbation theory to evaluate the two-photon exchange corrections to the low-energy elastic lepton-proton scattering at next-to-leading order accuracy, i.e., $\mathcal{O}(\alpha ,M^{-1})$, including a non-zero lepton mass. We consider the elastic proton intermediate state in the two-photon exchange together in the soft photon approximation. The infrared singular contributions are projected out using dimensional regularization. The resulting infrared singularity-free two-photon exchange contribution is in good numerical agreement with existing predictions based on standard diagrammatic soft photon approximation evaluations.

16 pages, 5 figures. Text slightly revised, results the same. Accepted for publication by Phys.Rev.D

References in corpus (15)

• High-precision determination of the electric and magnetic form factors of the proton
• Nucleon Electromagnetic Form Factors
• Chiral Perturbation Theory and Baryon Properties
• The Proton Radius Puzzle
• Dispersion analysis of the nucleon form factors including meson continua
• Two-Photon Physics in Hadronic Processes
• The size of the proton - closing in on the radius puzzle
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Two-photon exchange in dispersion approach
• Box diagram in the elastic electron-proton scattering
• Contribution of spin 1/2 and 3/2 resonances to two-photon exchange effects in elastic electron-proton scattering
• Two-photon exchange corrections in elastic muon-proton scattering
• Dispersive contributions to $e^{+}p/e^{-}p$ cross section ratio in forward regime
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• Model-independent extraction of two-photon effects in elastic electron-proton scattering

Cited by in corpus (1)

• CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper