Contribution of σ-meson exchange to elastic lepton-proton scattering

Abstract

Lepton mass effects play a decisive role in description of elastic lepton-proton scattering when the beam's energy is comparable to the mass of the lepton. The future MUSE experiment, which is devised to solve the "Proton Radius Puzzle", is going to cover the corresponding kinematic region for a scattering of muons by a proton target. We anticipate that helicity-flip meson exchanges will make a difference in comparison of elastic electron-proton versus muon-proton scattering in MUSE. In this article, we estimate the $\sigma$ meson exchange contribution in the $t$-channel. This contribution, mediated by two-photon coupling of $\sigma$, is calculated to be at most $\sim 0.1\%$ for muons in the kinematics of MUSE and it is about 3 orders in magnitude larger than for electrons because of the lepton-mass difference.

arXiv comment8 pages, 5 figures, minor corrections

References in corpus (19)

• An accurate nucleon-nucleon potential with charge-independence breaking
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Automatized One-Loop Calculations in 4 and D dimensions
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Skewed and double distributions in pion and nucleon
• Two-photon exchange and elastic electron-proton scattering
• The two-photon exchange contribution to elastic electron-nucleon scattering at large momentum transfer
• Measurement of the two-photon exchange contribution to the elastic $e^{\pm }p$ scattering cross sections at the VEPP-3 storage ring
• Towards a resolution of the proton form factor problem: new electron and positron scattering data
• Two photon couplings of the lightest isoscalars from BELLE data
• Two-photon exchange corrections in elastic muon-proton scattering
• The light-by-light contribution to the muon (g-2) from lightest pseudoscalar and scalar mesons within nonlocal chiral quark model
• Two-photon exchange correction to muon-proton elastic scattering at low momentum transfer
• Nucleon-Meson Coupling Constants and Form Factors in the Quark Model
• Model independent study of massive lepton elastic scattering on the proton, beyond the Born approximation
• Polarized Lepton-Nucleon Elastic Scattering and a Search for a Light Scalar Boson
• Unified Description of Kaon Electroweak Form Factors
• Meson exchange effects in elastic $ep$ scattering at loop level and the electromagnetic form factors of the proton
• Nambu's Nobel Prize, the $\sigma$ meson and the mass of visible matter

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• Radiative Correction to Lepton Proton Scatterings in Manifestly Lorentz-Invariant Chiral Perturbation Theory
• Two photon exchange in elastic electron scattering off hadronic systems
• Lepton mass effects for beam-normal single-spin asymmetry in elastic muon-proton scattering
• Two-photon exchange effects in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}$ and time-like pion electromagnetic form factor
• Two-Photon-Exchange effects in $ep\to en{\pi }^{+}$ and their corrections to separated cross sections ${\sigma }_{\text{L,T,LT,TT}}$ at small $-t$
• Charge and spin asymmetries in elastic lepton-nucleon scattering
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
• CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper
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