144 citations · 600 across the 19 of their papers we have counts for
19 papers
Counting the number of Feynman Graphs in QCD
T. Kaneko
Information about the number of Feynman graphs for a given physical process in a given field theory is especially useful for confirming the result of a Feynman graph generator used…
One loop integration with hypergeometric series by using recursion relations
Norihisa Watanabe, Toshiaki Kaneko
General one-loop integrals with arbitrary mass and kinematical parameters in -dimensional space-time are studied. By using Bernstein theorem, a recursion relation is obtained wh…
Numerical calculation of one-loop integration with hypergeometric functions
Toshiaki Kaneko
One-loop two-, three- and four-point scalar functions are analytically integrated directly such that they are expressed in terms of Lauricella's hypergeometric function . For…
Broken Symmetry in Flavor Physics
Toshiaki Kaneko, Hirotaka Sugawara
The symmetry is shown to be a very good approximate symmetry when it is broken in a specific way. This is true both in quark sector and in lepton sector. The way to break it…
Sector decomposition via computational geometry
Toshiaki Kaneko, Takahiro Ueda
A non-iterative method is presented for the factorization step of sector decomposition method, which separates infrared divergent part from loop integration. This method is based o…
A geometric method of sector decomposition
Toshiaki Kaneko, Takahiro Ueda
We propose a new geometric method of IR factorization in sector decomposition. The problem is converted into a set of problems in convex geometry. The latter problems are solved us…