Video for my thesis dissertation
This is one of the videos I used for my PhD dissertation. The pole position is localized, for each value of "a" and "b", by using complex numerical integration and the Cauchy's theorem (see App.D of ref. 1502.04841v2 [hep-ph]).
The numerical integrand, the unitarization methods and the perturbative scattering amplitudes are coded in FORTRAN. The integration itself (once parametrized to 1-real variable integrations), is done via SciPy library (and f2py to link FORTRAN and Python). For the animation, I use matplotlib and multiprocessing.