109 citations · 232 across the 18 of their papers we have counts for
18 papers · 1 filter
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…
A development of an accelerator board dedicated for multi-precision arithmetic operations and its application to Feynman loop integrals II
H Daisaka, N Nakasato, T Ishikawa +2
Evaluation of a wide variety of Feynman diagrams with multi-loop integrals and physical parameters and its comparison with high energy experiments are expected to investigate new p…
Direct numerical computation and its application to the higher-order radiative corrections
K Kato, E de Doncker, T Ishikawa +1
The direct computation method(DCM) is developed to calculate the multi-loop amplitude for general masses and external momenta. The ultraviolet divergence is under control in dimens…
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…
A development of an accelerator board dedicated for multi-precision arithmetic operations and its application to Feynman loop integrals
Shinji Motoki, Hiroshi Daisaka, Naohito Nakasato +5
Higher order corrections in perturbative quantum field theory are required for precise theoretical analysis to investigate new physics beyond the Standard Model. This indicates tha…
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…
Precise Numerical Evaluation of the Scalar One-Loop Integrals with the Infrared Divergence
F. Yuasa, E. de Doncker, J. Fujimoto +3
We present a new approach for obtaining very precise integration results for infrared vertex and box diagrams, where the integration is carried out directly without performing any…
Recent Developments in Parallelization of the Multidimensional Integration Package DICE
F. Yuasa, K. Tobimatsu, S. Kawabata
DICE is a general purpose multidimensional numerical integration package. There can be two ways in the parallelization of DICE, "distributing random numbers into workers" and "dist…
Loop integration results using numerical extrapolation for a non-scalar integral
E. de Doncker, Y. Shimizu, J. Fujimoto +4
Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand w…
A Feynman graph selection tool in GRACE system
F. Yuasa, T. Kaneko, T. Ishikawa
We present a Feynman graph selection tool {\tt grcsel}, which is an interpreter written in C language. In the framework of {\tt GRACE}, it enables us to get a subset of Feynman gra…
Automatic Computation of Cross Sections in HEP
F. Yuasa, J. Fujimoto, T. Ishikawa +10
For the study of reactions in High Energy Physics (HEP) automatic computation systems have been developed and are widely used nowadays. GRACE is one of such systems and it has achi…
Hybrid Parallel Computation of Integration in GRACE
Fukuko Yuasa, Tadashi Ishikawa, Setsuya Kawabata +4
With an integrated software package {\tt GRACE}, it is possible to generate Feynman diagrams, calculate the total cross section and generate physics events automatically. We outlin…
with a production
F. Yuasa, Y. Kurihara, S. Kawabata
The cross section of process with a complete set of tree diagrams, 232 diagrams in the unitary gauge, was calculated at the energy rang…