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Symmetric Group and Double Copy Building Blocks of Scattering Amplitudes

Koscelanska, Natalie Klaudie (2023) Symmetric Group and Double Copy Building Blocks of Scattering Amplitudes. Bachelor's Thesis, Physics.

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Abstract

The double copy construction was originally derived as a consequence of colour-kinematics duality in Yang-Mills theory. Since then, the concept was extended to hold for many other theories. In this work, notions related to scattering amplitudes are reviewed, and the idea of double copy is introduced. The goal of this study is to find representations which the building blocks of the double copy follow when trans- forming under the symmetric group. In order to achieve this, a Mathematica script was developed and is attached to this thesis. Results were obtained for scatterings of up to seven particles. Moreover, the method is general and extendable to higher point. Possible applications of the results in scalar kinematics are also indicated.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Roest, D. and Bergshoeff, E.A.
Degree programme: Physics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 17 Jul 2023 11:47
Last Modified: 17 Jul 2023 11:47
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/30682

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