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

2016/05/31 by Richard J. Hill · 42 citations
Materials Science · Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Computational physics #Electron #Electron and X-Ray Spectroscopy Techniques #Electron scattering #Field (mathematics) #Logarithm #Mathematical analysis #Mathematics #Nuclear physics #Physics #Proton #Quantum electrodynamics #Quantum mechanics #Radiative transfer #Scattering #X-ray Spectroscopy and Fluorescence Analysis #hep-ex #hep-ph #nucl-ex #nucl-th #physics.atom-ph

paper · pdf · doi:10.1103/physrevd.95.013001

published in Physical review. D/Physical review. D. 95(1) (American Physical Society) · 41 pages, 9 figures. v2: typos corrected, references added

arxiv created 2016/06/09 · openalex created_date 2016/06/24 · openalex publication_date 2017/01/04 · arxiv updated 2017/01/11 · openalex updated_date 2026/08/05

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, Q²\ensuremath≫m_e². 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^\ensuremath- annihilation processes.

Citations

• An effective field theory for collinear and soft gluons: Heavy to light decays
• Two-Photon-Exchange Correction to Parity-Violating Elastic Electron-Proton Scattering
• Radiation of light fermions in heavy fermion production
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Dispersion analysis of the nucleon form factors including meson continua
• External operators and anomalous dimensions in soft-collinear effective theory
• The infrared divergence phenomena and high-energy processes
• Radiative corrections to electron-proton scattering
• Two-photon exchange contribution to elastic electron-nucleonscattering at large momentum transfer
• The size of the proton
• CODATA recommended values of the fundamental physical constants: 2010