30 citations · 49 across the 6 of their papers we have counts for
7 papers
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…
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…
Numerical Evaluation of Feynman Integrals by a Direct Computation Method
F. Yuasa, T. Ishikawa, J. Fujimoto +3
A purely numerical method, Direct ComputationMethod is applied to evaluate Feynman integrals. This method is based on the combination of an efficient numerical integration and an e…
Status reports from the GRACE Group
Y. Yasui, T. Ueda, E. de Doncker +5
We discuss a new approach for the numerical evaluation of loop integrals. The fully numerical calculations of an infrared one-loop vertex and a box diagram are demonstrated. To per…