Macaulay Matrix for Feynman Integrals: Programs and Data
Programs to construct Macaulay matrices
(tentative version)
- linsolv.tar.gz
(See install.txt firstly).
- tmp-MM.rr .
(Files with .rr are program files for Risa/Asir .)
Manuals
In preparation.
Pfaffian equations
-
pentagon_pfs_x7_x8_x9_x10_x11.m ,
1 loop massless pentagon with one off-shell leg,
Pfaffian matrix (Mathematica format).
Programs to generate Macaulay matrices and Pfaffian equations
in the paper.
- Massless hexagon:
test9nnn();
after loading tmp-MM.rr.
The Macaulay matrix is stored in the variable NT_MData.
- One-loop Pentagon with one massive leg:
program files (for Mathematica with FiniteFlow, Risa/Asir) in zip format,
notes for the program files.
- For other cases, visit this folder .
References
- V. Chestnov, F. Gasparotto, M. K. Mandal, P. Mastrolia,
S.J. Matsubara-Heo, H. J. Munch, N.Takayama,
Macaulay matrix for Feynman integrals:
Linear Relations and Intersection Numbers,
preprint at arxiv.