23 citations · 25 across the 3 of their papers we have counts for
8 papers
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…
Regularization with Numerical Extrapolation for Finite and UV-Divergent Multi-loop Integrals
E. de Doncker, F. Yuasa, K. Kato +3
We give numerical integration results for Feynman loop diagrams such as those covered by Laporta [1] and by Baikov and Chetyrkin [2], and which may give rise to loop integrals with…
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 Computation of Two-loop Box Diagrams with Masses
F. Yuasa, E. de Doncker, N. Hamaguchi +5
A new approach is presented to evaluate multi-loop integrals, which appear in the calculation of cross-sections in high-energy physics. It relies on a fully numerical method and is…
Extrapolation Algorithms for Infrared Divergent Integrals
Elise de Doncker, Junpei Fujimoto, Nobuyuki Hamaguchi +5
This paper describes applications of extrapolation for the computation of coefficients in an expansion of infrared divergent integrals. An extrapolation procedure is performed with…