Numerical calculation of high-order QED contributions to the electron anomalous magnetic moment

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This paper describes a method of numerical evaluating high-order QED contributions to the electron anomalous magnetic moment.

• The method is based on subtraction of infrared and ultraviolet divergences in Feynman-parametric space before integration and on nonadaptive Monte Carlo integration that is founded on Hepp sectors.
• A realization of the method on the graphics accelerator NVidia Tesla K80 is described.
• A method of removing round-off errors that emerge due to numerical subtraction of divergences without losing calculation speed is presented.