IBP.m is a small code generating the IBP's in Wolfram Mathematica.

To use it, load the file by Get["IBP.m"]. Then define the loop momenta (Internal), the external momenta (External) and the list of propagators (Propagators). The irreducible numerators are treated the same way as propagators. Now run the PrepareIBP[] command, that solves the system of linear equations obtained after differentiating. Now IBP[x,y] will produce an IBP obtained after multiplying by y and differentiating by x.

For example, for a 2-loop tadpole with 2 massive lines and 1 massless line one can write Internal={v,q}; External={}; Propagators={v^2-mm,q^2-mm,(v-q)^2}. Then the IBP's will be produced by IBP[v,v], IBP[v,q], IBP[q,v] and IBP[q,q].

Download the code here.

Other projects
(in Russian):

Путеводитель по интернету

Компьютерная помощь

Главная страница: