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arXiv · 2012.04230

Master integrals for bipartite cuts of three-loop photon self energy

R. N. Lee·A. I. Onishchenko
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Abstract

We calculate master integrals for bipartite cuts of the three-loop propagator QED diagrams. These master integrals determine the spectral density of the photon self energy. Our results are expressed in terms of the iterated integrals, which, apart from the $4m$ cut, reduce to Goncharov's polylogarithms. The master integrals for $4m$ cut have been calculated in our previous paper in terms of the one-fold integrals of harmonic polylogarithms and complete elliptic integrals. We provide the threshold and high-energy asymptotics of the master integrals found, including those for $4m$ cut.

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R. N. Lee, A. I. Onishchenko. 2020-12-08. Master integrals for bipartite cuts of three-loop photon self energy. https://doi.org/10.1007/jhep04(2021)177

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