High-precision calculation of the 4-loop contribution to the electron g-2 in QED1

By S. Laporta. Journal of Physics, Conference Series, 2017

181 citations recorded by the source corpus.

In this paper I show the result of the numerical evaluation of the mass-independent 4-loop contribution to the electron g-2 in QED with 1100 digits of precision. I show the semi-analytical fit to the numerical value, which contains harmonic polylogarithms of eiπ3, e2iπ3 and eiπ2, one-dimensional integrals of products of complete elliptic integrals and six finite parts of master integrals, evaluated up to 4800 digits. I show also some information about the method and the program used.

Subfields: Electrical and Electronic Engineering, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e347ed8ea19015c9a272ce748b6df86352acfc59

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Citations in the corpus

Measurement of the fine-structure constant as a test of the Standard Model (2018, background): “ile of a Gaussian beam, taking into account a Gaussian atom distribution with σ c = 〈 ρ2 〉 ≃ 0.6 mm. This results in 2 2 2 204 1 0 2 2 0 , 16 w c I c c k r w I k k I where r I (2)=∇⊥ 2 r I(0) is the Laplacian of the 2-D autocorrelation function r I(x) of the intensity fluctuations, and I ”
Theory of the Anomalous Magnetic Moment of the Electron (2019, background): “Furthermore, the mass-independent eighth-order term A ( 8 ) 1 in [26] is not fully analytic.”
Feynman integrals and intersection theory (2018, methodology): “In the recent years, important technical advances have been made by refining the commonly adopted system-solving strategy for IBP identities [10], either due to novel algorithms [17–21] or to the development of improved software [22–26], and calculations of multi-loop multi-particle amplitudes, whic”
Decomposition of Feynman integrals on the maximal cut by intersection numbers (2019, methodology): “Together with novel algorithms for simplifying the solution of systems of differential equations [9], which triggered further studies [33–38], the calculations of several multi-scale, multi-loop, multi-particle amplitudes became feasible [39–57].”
Data and analysis for the CODATA 2017 special fundamental constants adjustment (2018, methodology): “First, in the mass-independent contribution to ae(QED), the numerically calculated eighth-order coefficient used in CODATA-14 due to Aoyama et al (2015), A(8)1 = −1.912 98(84), is replaced with the semi-analytical value A(8)1 = −1.912 245 764 . . . obtained by Laporta (2017).”