Three-loop moments and spectral density of photonpolarization function in QED
Keywords: photon polarization operator, radiative corrections, quantum electrodynamics
Topics: Physics , High Energy Physics (Theory)
Submitted: 10.09.2024; Published 16.12.2024

How to Cite

A. I. Onishchenko. "Three-loop moments and spectral density of photonpolarization function in QED" Natural Science Review 1 2 (2024)
https://nsr-jinr.ru/index.php/nsr/article/view/9
A. I. Onishchenko1,2,3,a
  • 1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia
  • 2Budker Institute of Nuclear Physics, Novosibirsk, Russia
  • 3Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia
  • aonish@bk.ru
Natural Science Review 1 2 (2024) 16.12.2024
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Supplementary materials

We calculate three-loop photon spectral density in QED with N different species of electrons. The obtained results were expressed in terms of iterated integrals, which can be either reduced to Goncharov’s polylogarithms or written in terms of one-fold integrals of harmonic polylogarithms and complete elliptic integrals. In addition, we provide threshold and high-energy asymptotics of the calculated spectral density. It is shown that the use of the obtained spectral density correctly reproduces separately calculated moments of corresponding photon polarization operator.