# Two-Photon Exchange Correction in Elastic Lepton–Proton Scattering

Two-Photon Exchange Correction in Elastic Lepton–Proton Scattering We present the dispersion relation approach based on unitarity and analyticity to evaluate the two-photon exchange contribution to elastic electron–proton scattering. The leading elastic and first inelastic $$\pi N$$ π N intermediate state contributions are accounted for in the region of small momentum transfer $$Q^2 < 1~\mathrm {GeV}^2$$ Q 2 < 1 GeV 2 based on the available data input. The novel methods of analytical continuation allow us to exploit the MAMI form factor data and the MAID parameterization for the pion electroproduction amplitudes as input in the calculation. The results are compared to the recent CLAS, VEPP-3 and OLYMPUS data as well as to the full two-photon exchange correction in the near-forward approximation, which is based on the Christy and Bosted unpolarized structure functions fit. Additionally, predictions are given for a forthcoming muon–proton scattering experiment. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Few-Body Systems Springer Journals

# Two-Photon Exchange Correction in Elastic Lepton–Proton Scattering

, Volume 59 (5) – May 30, 2018
8 pages

/lp/springer_journal/two-photon-exchange-correction-in-elastic-lepton-proton-scattering-C4Rur2LcoN
Publisher
Springer Journals
Subject
Physics; Particle and Nuclear Physics; Nuclear Physics, Heavy Ions, Hadrons; Atomic, Molecular, Optical and Plasma Physics
ISSN
0177-7963
eISSN
1432-5411
D.O.I.
10.1007/s00601-018-1413-8
Publisher site
See Article on Publisher Site

### Abstract

We present the dispersion relation approach based on unitarity and analyticity to evaluate the two-photon exchange contribution to elastic electron–proton scattering. The leading elastic and first inelastic $$\pi N$$ π N intermediate state contributions are accounted for in the region of small momentum transfer $$Q^2 < 1~\mathrm {GeV}^2$$ Q 2 < 1 GeV 2 based on the available data input. The novel methods of analytical continuation allow us to exploit the MAMI form factor data and the MAID parameterization for the pion electroproduction amplitudes as input in the calculation. The results are compared to the recent CLAS, VEPP-3 and OLYMPUS data as well as to the full two-photon exchange correction in the near-forward approximation, which is based on the Christy and Bosted unpolarized structure functions fit. Additionally, predictions are given for a forthcoming muon–proton scattering experiment.

### Journal

Few-Body SystemsSpringer Journals

Published: May 30, 2018

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