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

Journal of High Energy Physics

A. I. Onishchenko¹  R. N. Lee² 

[1] Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia;Theory department, Budker Institute of Nuclear Physics, Novosibirsk, Russia;Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, Russia;Theory department, Budker Institute of Nuclear Physics, Novosibirsk, Russia;

关键词: NLO Computations;   

DOI  :  10.1007/JHEP04(2021)177

来源: Springer

【 摘 要 】

We calculate the 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 (the cut of 4 massive lines), 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.

【 授权许可】

CC BY