> Here's some insight into my problem set (with some additional background if
> you are curious):
> 
> The start is to solve Feynman loop integrals for higher-order perturbative
> calculations in quantum field theory (physics).

What comes to my mind when I hear Feynman integrals is work of my
colleague in his collaboration with DESY.

https://risc.jku.at/m/carsten-schneider/

As far as I understand it, Feynman integrals can be transformed into a
summation problem, then simplified by Schneider's Mathematica package
Sigma. Obviously, some physicists find that very useful.

Not sure whether that is similar to what you are after, but of course
ther would be a Mathematica license issue as you say.

If you feel that FriCAS can in principle do the job for you, then keep
on asking about whatever blocks your way in implementing you problem.

I am a bit concerned about your wish to solve the master integrals
numerically. I'm not quite sure whether FriCAS is the best and fastest
tool for that, but perhaps I just don't understand enough of the details
of your problem.

Anyway, good luck with your endeavour.

Ralf

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