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## Full-Text Articles in Physics

On Different Parametrizations Of Feynman Integrals, Ray Daniel Sameshima

#### On Different Parametrizations Of Feynman Integrals, Ray Daniel Sameshima

*Dissertations, Theses, and Capstone Projects*

In this doctoral thesis, we discuss and apply advanced techniques for the calculations of scattering amplitudes which, on the one hand, allow us to compute cross sections and differential distributions at high precision and, on the other hand, give us deep mathematical insights on the mathematical structures of Feynman integrals.

We start by presenting phenomenological calculations relevant for the experimental analyses at the Large Hadron Collider. We use the resummation of soft gluon emission corrections to study the associated production of a top pair and a Z boson to next-to-next-to-leading logarithmic accuracy, and compute the total cross section and differential ...

Computational Techniques For Scattering Amplitudes, Juliano A. Everett

#### Computational Techniques For Scattering Amplitudes, Juliano A. Everett

*Publications and Research*

Scattering amplitudes in quantum field theory can be described as the probability of a scattering process to happen within a high energy particle interaction, as well as a bridge between experimental measurements and the prediction of the theory.

In this research project, we explore the Standard Model of Particle Theory, itâ€™s representation in terms of Feynman diagrams and the algebraic formulas associated with each combination.

Using the FeynArts program as a tool for generating Feynman diagrams, we evaluate the expressions of a set of physical processes, and explain why these techniques become necessary to achieve this goal.