Pure Yang-Mills amplitudes in 5 Dimensions : A study of vector boson amplitudes at 4 and 5 points

Abstract: In this text we explore the case of pure Yang-Mills amplitudes in 5 spacetime dimensions for vector particles. Extending current toolsets such as the Spinor-Helicity formalism in 5D would be beneficial to the study of the various cases of super Yang-Mills and supergravity. In this text we provide an expression for the 5D BCFW shifts and test them in the 4-point setting. A method for obtaining the 5-point gluon amplitude is presented as well as a way to classify possible building blocks of the ansatz. We also provide a non-trivial expression for the 5-point case. The text begins with a short review of Spinor-Helicity formalism in 4D is given at the beginning followed by a discussion of its extension to 5D. Next, we review the pure Yang-Mills theory and modern methods of amplitude calculations. Finally we discuss our methods and results.