Feb 22 – 27, 2010
Jaipur, India
Europe/Zurich timezone

Deterministic numerical box and vertex integrations for one-loop hexagon reductions

Feb 23, 2010, 3:00 PM
30m
Jaipur, India

Jaipur, India

Jaipur, India
Parallel Talk Methodology of Computations in Theoretical Physics Tuesday, 23 February - Methodology of Computations in Theoretical Physics

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.

Primary 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)

Presentation materials