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Title: Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level

Abstract

A new subtractive procedure for canceling ultraviolet and infrared divergences in the Feynman integrals described here is developed for calculating QED corrections to the electron anomalous magnetic moment. The procedure formulated in the form of a forest expression with linear operators applied to Feynman amplitudes of UV-diverging subgraphs makes it possible to represent the contribution of each Feynman graph containing only electron and photon propagators in the form of a converging integral with respect to Feynman parameters. The application of the developed method for numerical calculation of two- and threeloop contributions is described.

Authors:
 [1]
  1. Moscow State University, Skobeltsyn Institute of Nuclear Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22617248
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 122; Journal Issue: 6; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; CORRECTIONS; ELECTRONS; FEYNMAN PATH INTEGRAL; INFRARED DIVERGENCES; MAGNETIC MOMENTS; PHOTONS; PROPAGATOR; QUANTUM ELECTRODYNAMICS; ULTRAVIOLET RADIATION

Citation Formats

Volkov, S. A., E-mail: volkoff-sergey@mail.ru. Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level. United States: N. p., 2016. Web. doi:10.1134/S1063776116050113.
Volkov, S. A., E-mail: volkoff-sergey@mail.ru. Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level. United States. doi:10.1134/S1063776116050113.
Volkov, S. A., E-mail: volkoff-sergey@mail.ru. Wed . "Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level". United States. doi:10.1134/S1063776116050113.
@article{osti_22617248,
title = {Subtractive procedure for calculating the anomalous electron magnetic moment in QED and its application for numerical calculation at the three-loop level},
author = {Volkov, S. A., E-mail: volkoff-sergey@mail.ru},
abstractNote = {A new subtractive procedure for canceling ultraviolet and infrared divergences in the Feynman integrals described here is developed for calculating QED corrections to the electron anomalous magnetic moment. The procedure formulated in the form of a forest expression with linear operators applied to Feynman amplitudes of UV-diverging subgraphs makes it possible to represent the contribution of each Feynman graph containing only electron and photon propagators in the form of a converging integral with respect to Feynman parameters. The application of the developed method for numerical calculation of two- and threeloop contributions is described.},
doi = {10.1134/S1063776116050113},
journal = {Journal of Experimental and Theoretical Physics},
number = 6,
volume = 122,
place = {United States},
year = {Wed Jun 15 00:00:00 EDT 2016},
month = {Wed Jun 15 00:00:00 EDT 2016}
}
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