Application of Hyperlogarithms

Abstract

In this thesis, we explore the use of hyperlogarithms, a powerful tool in symbolic integration widely utilized in Particle Physics, QFT, and various other fields of physics. When tackling complex integrals, particularly Feynman Integrals yielding finite results, logarithmic singularities may arise, notably when integrating from 0 to infinity. In such instances, hyperlogarithms offer a means to navigate these singularities, enabling the derivation of finite solutions. Through practical examples, this thesis aims to demonstrate the application of hyperlogarithms and it's properties.