Effective field theory for large logarithms in radiative corrections to electron proton scattering

Abstract

Radiative corrections to elastic electron-proton scattering are analyzed in effective field theory. A new factorization formula identifies all sources of large logarithms in the limit of large momentum transfer, $Q^2\gg m_e^2$. Explicit matching calculations are performed through two-loop order. A renormalization analysis in soft-collinear effective theory is performed to systematically compute and resum large logarithms. Implications for the extraction of charge radii and other observables from scattering data are discussed. The formalism may be applied to other lepton-nucleon scattering and $e^{+}{e}^{-}$ annihilation processes.

41 pages, 9 figures. v2: typos corrected, references added

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• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Theory of elastic neutrino-electron scattering
• Two-photon exchange contribution to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states and comparison with data
• The proton radius (puzzle?) and its relatives
• Review of experimental and theoretical status of the proton radius puzzle
• Muon-electron scattering at NNLO
• QED radiative corrections for accelerator neutrinos
• Second-Order Leptonic Radiative Corrections for Lepton-Proton Scattering
• Point-Particle Effective Field Theory II: Relativistic Effects and Coulomb/Inverse-Square Competition
• All orders factorization and the Coulomb problem
• Field Theory of the Fermi Function
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Resonance Contributions to Radiative Corrections in Charged-Current Elastic (Anti)Neutrino-Nucleon Scattering at GeV Energies
• Theory of QED radiative corrections to neutrino scattering at accelerator energies