Proton charge radius extraction from muon scattering at MUSE using dispersively improved chiral effective field theory
Abstract
The MUSE experiment at Paul Scherrer Institute will perform the first measurement of low-energy muon-proton elastic scattering (muon lab momenta 115–210 MeV) with the aim of determining the proton charge radius. We study the prospects for the proton radius extraction using the theoretical framework of dispersively improved chiral effective field theory (DI$$\mathcal{χ}$$EFT). It connects the proton radii with the finite-$$\mathrm{Q}^2$$ behavior of the form factors through complex analyticity and enables the use of data up to $$\mathrm{Q}^2$$ ~ 0.1 GeV2 for radius extraction. We quantify the sensitivity of the μp cross section to the proton charge radius, the theoretical uncertainty of the cross section predictions, and the size of two-photon exchange corrections. We find that the optimal kinematics for radius extraction at MUSE is at momenta 210 MeV and $$\mathrm{Q}^2$$ ~ 0.05 – 0.08 GeV2. We compare the performance of electron and muon scattering in the same kinematics. As a by-product, we obtain explicit predictions for the μp and ep cross sections at MUSE as functions of the assumed value of the proton radius.
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); Ministry of Science and Innovation (MICINN)
- OSTI Identifier:
- 2203959
- Alternate Identifier(s):
- OSTI ID: 2203702
- Report Number(s):
- JLAB-THY-23-3834; DOE/OR/23177-6259
Journal ID: ISSN 2470-0010; PRVDAQ; 074026
- Grant/Contract Number:
- AC05-06OR23177; PID2019–106080 GB-C21
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. D.
- Additional Journal Information:
- Journal Name: Physical Review. D. Journal Volume: 108 Journal Issue: 7; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; elastic scattering; form factors
Citation Formats
Gil-Domínguez, F., Alarcón, J. M., and Weiss, C. Proton charge radius extraction from muon scattering at MUSE using dispersively improved chiral effective field theory. United States: N. p., 2023.
Web. doi:10.1103/PhysRevD.108.074026.
Gil-Domínguez, F., Alarcón, J. M., & Weiss, C. Proton charge radius extraction from muon scattering at MUSE using dispersively improved chiral effective field theory. United States. https://doi.org/10.1103/PhysRevD.108.074026
Gil-Domínguez, F., Alarcón, J. M., and Weiss, C. Fri .
"Proton charge radius extraction from muon scattering at MUSE using dispersively improved chiral effective field theory". United States. https://doi.org/10.1103/PhysRevD.108.074026.
@article{osti_2203959,
title = {Proton charge radius extraction from muon scattering at MUSE using dispersively improved chiral effective field theory},
author = {Gil-Domínguez, F. and Alarcón, J. M. and Weiss, C.},
abstractNote = {The MUSE experiment at Paul Scherrer Institute will perform the first measurement of low-energy muon-proton elastic scattering (muon lab momenta 115–210 MeV) with the aim of determining the proton charge radius. We study the prospects for the proton radius extraction using the theoretical framework of dispersively improved chiral effective field theory (DI$\mathcal{χ}$EFT). It connects the proton radii with the finite-$\mathrm{Q}^2$ behavior of the form factors through complex analyticity and enables the use of data up to $\mathrm{Q}^2$ ~ 0.1 GeV2 for radius extraction. We quantify the sensitivity of the μp cross section to the proton charge radius, the theoretical uncertainty of the cross section predictions, and the size of two-photon exchange corrections. We find that the optimal kinematics for radius extraction at MUSE is at momenta 210 MeV and $\mathrm{Q}^2$ ~ 0.05 – 0.08 GeV2. We compare the performance of electron and muon scattering in the same kinematics. As a by-product, we obtain explicit predictions for the μp and ep cross sections at MUSE as functions of the assumed value of the proton radius.},
doi = {10.1103/PhysRevD.108.074026},
journal = {Physical Review. D.},
number = 7,
volume = 108,
place = {United States},
year = {Fri Oct 27 00:00:00 EDT 2023},
month = {Fri Oct 27 00:00:00 EDT 2023}
}
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https://doi.org/10.1103/PhysRevD.108.074026
https://doi.org/10.1103/PhysRevD.108.074026
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