Building bases for analytical fits of four-loop QED master integrals Article Swipe
Related Concepts
Renormalization
Basis (linear algebra)
Loop (graph theory)
Order of integration (calculus)
Physics
Mathematical physics
Quantum electrodynamics
Mathematics
Mathematical analysis
Geometry
Combinatorics
S. Laporta
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YOU?
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· 2018
· Open Access
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· DOI: https://doi.org/10.22323/1.303.0073
· OA: W2895753022
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.22323/1.303.0073
· OA: W2895753022
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.
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