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

Sector decomposition via computational geometry

Feb 26, 2010, 3:00 PM
30m
Jaipur, India

Jaipur, India

Jaipur, India
Parallel Talk Methodology of Computations in Theoretical Physics Friday, 26 February - Methodology of Computations in Theoretical Physics

Speaker

Dr Toshiaki KANEKO (KEK, Computing Research Center)

Description

One of the powerful tools for evaluating multi-loop/leg integrals is sector decomposition, which can isolate infrared divergences from parametric representations of the integrals. The aim of this talk is to present a new method to replace iterated sector decomposition, in which the problems are converted into a set of problems in convex geometry, and then they can be solved by using algorithms in computational geometry. This method never falls into an infinite loop, and some examples show that it gives the relatively small number of generated sectors.

Primary author

Dr Toshiaki KANEKO (KEK, Computing Research Center)

Co-author

Dr Takahiro UEDA (University of Tsukuba)

Presentation materials