PoS - Proceedings of Science
Volume 303 - Loops and Legs in Quantum Field Theory (LL2018) - Parallel 9
Building bases for analytical fits of four-loop QED master integrals
S. Laporta
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Published on: October 02, 2018
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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