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Impact of NNLO QED corrections on lepton-proton scattering at MUSE

Engel, T.; Hagelstein, F.; Rocco, M.; Sharkovska, V.; Signer, A.; Ulrich, Y.

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Authors

T. Engel

F. Hagelstein

M. Rocco

V. Sharkovska

A. Signer



Abstract

We present the complete next-to-next-to-leading order (NNLO) pure pointlike QED corrections to lepton-proton scattering, including three-photon-exchange contributions, and investigate their impact in the case of the MUSE experiment. These corrections are computed with no approximation regarding the energy of the emitted photons and taking into account lepton-mass effects. We contrast the NNLO QED corrections to known next-to-leading order corrections, where we include the elastic two-photon exchange (TPE) through a simple hadronic model calculation with a dipole ansatz for the proton electromagnetic form factors. We show that, in the low-momentum-transfer region accessed by the MUSE experiment, the improvement due to more sophisticated treatments of the TPE, including inelastic TPE, is of similar if not smaller size than some of the NNLO QED corrections. Hence, the latter have to be included in a precision determination of the low-energy proton structure from scattering data, in particular for electron-proton scattering. For muon-proton scattering, the NNLO QED corrections are considerably smaller.

Citation

Engel, T., Hagelstein, F., Rocco, M., Sharkovska, V., Signer, A., & Ulrich, Y. (2023). Impact of NNLO QED corrections on lepton-proton scattering at MUSE. The European Physical Journal A, 59(11), 253. https://doi.org/10.1140/epja/s10050-023-01153-x

Journal Article Type Article
Acceptance Date Oct 4, 2023
Online Publication Date Nov 3, 2023
Publication Date 2023
Deposit Date Nov 7, 2023
Publicly Available Date Nov 7, 2023
Journal The European Physical Journal A
Print ISSN 1434-6001
Electronic ISSN 1434-601X
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 59
Issue 11
Pages 253
DOI https://doi.org/10.1140/epja/s10050-023-01153-x
Public URL https://durham-repository.worktribe.com/output/1883887

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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