Radiative corrections to elastic muon-proton scattering at low momentum transfers

Abstract

We systematically calculate the radiative corrections of order $\alpha /\pi$ to elastic muon-proton scattering at low momentum transfers. These include vacuum polarization, photon-loop form factors of the muon and the proton, two-photon exchange corrections and soft photon radiation. In particular, we discuss these corrections for the kinematics of the upcomimg AMBER experiment with a $100$GeV muon beam energy. It is found that for the ratio to the Born cross section, only the minor terms from the photon-loop form factors of the proton and two-photon exchange depend on the proton structure predetermined by the strong interactions. Since a prominent role among the radiative corrections is played by soft photon radiation, the calculation of the bremsstrahlung process $\mu p\to \mu p\gamma$ should be extended beyond the soft photon approximation and tailored to the specific experimental conditions.

13 pages, 9 figures, discussion extended, references added

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Cited by in corpus (2)

• Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory
• Vanishing cycles and analysis of singularities of Feynman diagrams