Subtraction Procedure for Calculation of Anomalous Magnetic Moment of Electron in QED and its Application to Numerical Computation at 3-loop Level

Abstract

A new subtraction procedure for removal both ultraviolet and infrared divergences in Feynman integrals is proposed. This method is developed for computation of QED corrections to the electron anomalous magnetic moment. The procedure is formulated in the form of a forest formula with linear operators that are applied to Feynman amplitudes of UV-divergent subgraphs. The contribution of each Feynman graph that contains propagators of electrons and photons is represented as a finite Feynman-parametric integral. Application of the developed method to the calculation of 2-loop and 3-loop contributions is described.

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References in corpus (5)

• New determination of the fine structure constant and test of the quantum electrodynamics
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron
• Anomalous magnetic moment with heavy virtual leptons
• Eighth-Order Vacuum-Polarization Function Formed by Two Light-by-Light-Scattering Diagrams and its Contribution to the Tenth-Order Electron g-2

Cited by in corpus (5)

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• Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment
• A Way of Fast Calculating Lepton Magnetic Moments in Quantum Electrodynamics
• Infrared and Ultraviolet Power Counting on the Mass Shell in Quantum Electrodynamics