Speaker
Dr
Fukuko Yuasa
(KEK)
Description
We report our progress on the development of the
Direct Computation Method (DCM), which is a fully
numerical method for the computation of Feynman diagrams.
Based on a combination of a numerical integration tool
and a numerical extrapolation technique, all steps in
the computation are carried out in a fully numerical
way. The combined method is applicable to one-, two-
and multi-loop diagrams with arbitrary masses including
complex masses.
In this talk we show numerical results of a scalar
one-loop pentagon and hexagon without any analytical
treatment, neither reducing to a sum of box diagrams nor
sector decomposition. Further we discuss the possibility
of handling ultraviolet divergence using DCM.
Author
Dr
Fukuko Yuasa
(KEK)
Co-authors
Prof.
Elise de Doncker
(Western Michigan University)
Prof.
Kiyoshi Kato
(Kogakuin University)
Mr
Nobuyuki Hamaguchi
(KEK)
Dr
Tadashi Ishikawa
(KEK)
Prof.
Yoshimitsu Shimizu
(KEK)