On convergent series representations of Mellin-Barnes integrals

Understand

Multiple Mellin-Barnes integrals are often used for perturbative calculations in particle physics.

• In this context, the evaluation of such objects may be performed through residues calculations which lead to their expression as multiple series in powers and logarithms of the parameters involved in the problem under consideration.
• However, in most of the cases, several series representations exist for a given integral.
• They converge in different regions of values of the parameters, and it is not obvious to obtain them.