Building bases for analytical fits of four-loop QED master integrals
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Published on:
October 02, 2018
Abstract
In this paper I will briefly describe how to find some elements of the basis necessary for the PSLQ fits of master integrals that appear in the calculation of four-loop contributions to the electron $g$-$2$ and the renormalization constants in QED. In particular we consider master integrals containing polylogarithms of the sixth root of the unity and elliptical integrals. A new high-precision numerical determination of $Z_2$ at four loops will be also shown.
DOI: https://doi.org/10.22323/1.303.0073
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.