Numerical calculation of high-order QED contributions to the electron anomalous magnetic momentстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 6 декабря 2018 г.
Аннотация:This paper describes a method of numerically evaluating high-order QED contributions to the electron anomalous magnetic moment. The method is based on the 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. The results of applying the method to all 2-loop, 3-loop, and 4-loop QED Feynman graphs without lepton loops are presented. A detailed comparison of the 2-loop and 3-loop results with known analytical ones is given in the paper. A comparison of the contributions of six gauge-invariant 4-loop graph classes with known analytical values is presented. Moreover, the contributions of 78 sets of 4-loop graphs for comparison with the direct subtraction on the mass shell are presented. Also, the contributions of the 5-loop and 6-loop ladder graphs are given, as well as a comparison of these results with known analytical ones. The behavior of the generated Monte Carlo samples is described in detail, and a method of the error estimation is presented. Detailed information about the graphics processor performance on these computations and about the Monte Carlo convergence is given in the paper.