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hep-ph2024
3-loop Feynman Integral Extrapolations for the Baseball Diagram
E de Doncker, F Yuasa, T Ishikawa +1
We focus on numerical techniques for expanding 3-loop Feynman integrals with respect to the dimensional regularization parameter which is related to the space-time d…
hep-ph2024★ 2 cited
Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
Elise de Doncker, Tadashi Ishikawa, Kiyoshi Kato +1
Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are dete…
hep-ph2024
A note on the dimensional regularization and the on-mass-shell renormalization in the two-loop order
Kiyoshi Kato
The use of the dimensional regularization in the on-mass-shell renormalization scheme sometimes fails to locally cancel the ultraviolet divergence for a class of diagrams in the tw…