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A new subtraction procedure for removal both ultraviolet and infrareddivergences in Feynman integrals is proposed. This method is developed forcomputation of QED corrections to the electron anomalous magnetic moment. Theprocedure is formulated in the form of a forest formula with linear operatorsthat are applied to Feynman amplitudes of UV-divergent subgraphs. Thecontribution of each Feynman graph that contains propagators of electrons andphotons is represented as a finite Feynman-parametric integral. Application ofthe developed method to the calculation of 2-loop and 3-loop contributions isdescribed.

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