High-precision calculation of the 4-loop contribution to the electron g-2 in QED

Autor:	Stefano Laporta
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	Quantum electrodynamics Anomalous magnetic moment Feynman diagram Master integral High-precision calculation Analytical fit Physics QC1-999
Zdroj:	Physics Letters B, Vol 772, Iss C, Pp 232-238 (2017)
Druh dokumentu:	article
ISSN:	0370-2693 1873-2445
DOI:	10.1016/j.physletb.2017.06.056
Popis:	I have evaluated up to 1100 digits of precision the contribution of the 891 4-loop Feynman diagrams contributing to the electron g-2 in QED. The total mass-independent 4-loop contribution is ae=−1.912245764926445574152647167439830054060873390658725345…(απ)4. I have fit a semi-analytical expression to the numerical value. The expression contains harmonic polylogarithms of argument eiπ3, e2iπ3, eiπ2, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/17e55d8c5f5745e0b37fe7ef9f9db253 Zobrazit plný text záznamu Full Text from ScienceDirect View record in DOAJ