Speaker
Prof.
Elise de Doncker
(Western Michigan University)
Description
We provide a fully numerical, deterministic integration at the
level of the three- and four-point functions, in the reduction
of the one-loop hexagon integral by sector decomposition. For
the corresponding two- and three-dimensional integrals we use
an adaptive numerical approach applied recursively in two and
three dimensions, respectively.
The adaptive integration is coupled with an extrapolation
for an accurate, automatic treatment of integrand singularities
arising from vanishing denominators in the interior of the
integration domain. Furthermore, the recursive procedure
alleviates extensive memory use as incurred with standard
adaptive, multidimensional integration software.
Tensor integrals are handled automatically by this technique
and the separation of infrared singularities follows naturally
by dimensional regularization.
Author
Prof.
Elise de Doncker
(Western Michigan University)
Co-authors
Dr
Fukuko Yuasa
(High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan)
Dr
Junpei Fujimoto
(High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan)
Dr
Nobuyuki Hamaguchi
(Hitachi, Ltd., Software Division, Totsuka-ku, Yokohama, Japan)
Dr
Tadashi Ishikawa
(High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan)
Dr
Yoshimasa Kurihara
(High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan)
Dr
Yoshimitsu Shimizu
(High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, Japan)
