Analytic results for the two-loop renormalization constants of Feynman gauge QED
Year: 2026
Type: article
Abstract: The two-loop renormalization constants $Z_m$ and $Z_1\!=\!Z_2$ of Feynman gauge quantum electrodynamics (QED) in the on-shell scheme are computed using dimensional regularization. Analytic results are obtained for these constants. In addition, analytic expressions are obtained for their expansion coefficients in the dimensional regularization parameter $ε$ from order $1/ε^2$ through order $ε^5$. The high-order expansion coefficients will be needed for future multiloop calculations in QED and will provide a useful check for multiloop calculations in QCD.
DOI: 10.1103/17zn-8txt
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Awards: RUI: Calculation of Higher Order Corrections to Positronium Energy Levels, PURPOSE: THE PURPOSE OF THIS GRANT IS TO ENABLE MORE STRINGENT TESTS OF THE BASIC LAWS OF PHYSICS UNDERLYING METROLOGY, AS WELL AS HIGHER PRECISION IN THE MEASUREMENTS OF FUNDAMENTAL CONSTANTS THAT ARE IMPORTANT FOR CODATA. ACTIVITIES TO BE PERFORMED: THE RESEARCHER PROPOSES TO PERFORM QUANTUM ELECTRODYNAMIC (QED) CALCULATIONS FOR MUONIUM (AN ATOM CONSISTING OF AN ELECTRON ORBITING A MUON) TO COMPUTE THE UNKNOWN RECOIL CORRECTIONS THAT CURRENTLY LIMIT THE ACCURACY FOR THE PREDICTED HYPERFINE SPITTING TO ABOUT 70 HZ, WHICH IS MORE THAN AN ORDER OF MAGNITUDE LARGER THAN THE GOAL OF A NEW EXPERIMENTAL CAMPAIGN UNDERWAY TO REACH 5 HZ.EXPECTED OUTCOMES: SUCCESS IS EXPECTED TO IMPROVE THE PREDICTED VALUE OF THE MUONIUM GROUND STATE HYPERFINE SPLITTING, REDUCING THE UNCERTAINTY TO LESS THAN 10 HZ. TOGETHER WITH THE ANTICIPATED EXPERIMENTAL IMPROVEMENT, THIS CAN BE USED TO OBTAIN A MORE PRECISE DETERMINATION OF THE MUON MASS.INTENDED BENEFICIARIES: INSTITUTIONS OF HIGHER LEARNING WILL BENEFIT FROM PRECISELY TESTING THE BASIC LAWS OF NATURE. METROLOGICAL INSTITUTES WILL BENEFIT FROM THE IMPROVED MEASUREMENTS OF FUNDAMENTAL CONSTANTS THAT ARE INVOLVED IN THE LEAST SQUARES ADJUSTMENTS FOR CODATA RECOMMENDATIONS.SUBRECIPIENT ACTIVITIES: THERE ARE NO SUB-AWARDS IN THIS PROJECT.
OpenAlex ID: W7216520564