15 citations · 43 across the 10 of their papers we have counts for
11 papers
The calculation of 2-loop self-energy diagrams by the sector decomposition
Kiyoshi Kato
Detailed description of the calculation of the 2-loop self-energy for a scalar particle is presented. By employing a simple sector decomposition method, the ultraviolet divergent p…
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…
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…
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…
Numerical approach to multi-loop integrals
K. Kato, E. de Doncker, N. Hamaguchi +5
For the calculation of multi-loop Feynman integrals, a novel numerical method, the Direct Computation Method (DCM) is developed. It is a combination of a numerical integration and…
Numerical Approach to Calculation of Feynman Loop Integrals
F. Yuasa, T. Ishikawa, Y. Kurihara +5
In this paper, we describe a numerical approach to evaluate Feynman loop integrals. In this approach the key technique is a combination of a numerical integration method and a nume…