Here you can find the Notebooks developed in Mathematica 11.0 for my Ph.D. thesis and other resources. 😜

• We use the FeynArts and FeynCalc packages to generate the diagrams and amplitudes. 💻
• For more references about the work 📑, you can read the Abstract and see the slides used in the defense.
• For the thesis text, you can read it here.
• Article including QCD and notebooks are in progress.
• The notebooks need to be downloaded and have the corresponding packages downloaded to run them.

• The divergent part of the amplitudes is evaluated using the regularization process known as Implicit Regularization (IREG). 🔨
• The final 1-loop and 2-loop results for this divergent integrals with IREG can be found here. 😎

• We also calculate the integrals with finite results. For this, we use Package-X. Those notebooks and notes can be found in this repository as well. 😵

• For more reference on how to apply the IREG method, you can check our articles "Two-loop renormalisation of gauge theories in 4D Implicit Regularisation: transition rules to dimensional methods", "A Brief Review of Implicit Regularization and Its Connection with the BPHZ Theorem", and "Two-loop renormalisation of non-Abelian gauge theories in 4D Implicit Regularisation". 💪
• Basically, IREG is a method where divergent integrals are treated in 4-dimensions and the divergent part of the integral is isolated in the form of what we call a "Basic Divergent Integral" (BDI) that does not need to be solved explicitly. This integral does not depend on physical parameters such as mass or external momentum. 👍

• I recommend reading these great articles at 1-loop and 2-loops order. 📑