We describe our investigations into various formal properties of Feynman integrals and of scattering amplitudes obtained from studying algebraic structures. There are variety of ways to study these properties. Out of which, ...

Feynman integrals play a fundamental role in perturbative calculations within the realm of quantum field theory. In this thesis, we study several important mathematical properties of multi-loop multi-leg Feynman Integrals ...

Feynman integrals are special kind of integrals that arise in perturbative quantum field theory and are often very difficult to evaluate in terms of known functions of mathematical physics. At times some of the methods ...

The present era is one of precision in particle physics. To account for the lacunae in the otherwise successful Standard Model, observables are calculated to high precision in various theoretical models, which are then ...